Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.

Circumcenter ________
Orthocenter ________

Can someone please help me with this? and if you can explain how to do it?

Answers

Answer 1

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:  

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)  

Formula used :  

→Mid point of two points- [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

→Slope of two points - [tex]\frac{y_2-y_1}{x_2-x_1})[/tex]

→Perpendicular of a line = [tex]\frac{-1}{slope of line})[/tex]

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB =[tex](\frac{2-4}{2},\frac{3-3}{2})=(-1,0)[/tex]

Slope of AB =[tex]\frac{-3-3}{-4-2}=1[/tex]

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = -1  

Equation of AB with slope -1 and the coordinates (-1,0) is,  

(y – 0) = -1(x – (-1))  

y+x=-1………………(1)  

Similarly, for AC  

Mid point of AC = [tex](\frac{2+2}{2},\frac{3-3}{2})=(2,0)[/tex]

Slope of AC = [tex]\frac{-3-3}{2-2}=\frac{-6}{0}[/tex]  

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = 0  

Equation of AC with slope 0 and the coordinates (2,0) is,  

(y – 0) = 0(x – 2)  

y=0 ………………(2)  

By solving equation (1) and (2),  

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1  

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB =[tex](\frac{2-4}{2},\frac{3-3}{2})=(-1,0)[/tex]

Slope of AB =[tex]\frac{-3-3}{-4-2}=1[/tex]

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of CF = -1  

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF  

(y – 0) = -1(x – (-1))  

y+x=-1………………(3)  

Similarly, mid point of BC =[tex](\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)[/tex]

Slope of AB =[tex]\frac{-3+3}{-4-2}=0[/tex]

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))  

y+3=0

y=-3………………(4)  

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)


Triangle ABC Has Vertices At A(2,3),B(-4,-3) And C(2,-3) Find The Coordinates Of Each Point Of Concurrency.
Answer 2
Final answer:

To find the coordinates of the Circumcenter of Triangle ABC, we find the equations of the perpendicular bisectors of two sides and solve them simultaneously. To find the coordinates of the Orthocenter, we find the equations of the altitudes and solve them simultaneously.

Explanation:

The Circumcenter of a triangle is the point of concurrency of the perpendicular bisectors of the triangle's sides. The Orthocenter of a triangle is the point of concurrency of the triangle's altitudes. To find the coordinates of the Circumcenter, we can find the equations of the perpendicular bisectors of two sides of the triangle and solve them simultaneously. To find the coordinates of the Orthocenter, we can find the equations of the altitudes and solve them simultaneously.

For Triangle ABC with vertices A(2,3), B(-4,-3), and C(2,-3):

Circumcenter coordinates:

Find the midpoint of AB and its slope.Find the midpoint of BC and its slope.Equate the two equations to find the coordinates of the Circumcenter.

Orthocenter coordinates:

Find the slope of BC and the equation of the line passing through A with that slope.Find the slope of AC and the equation of the line passing through B with that slope.Find the point of intersection of the two lines to find the coordinates of the Orthocenter.

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Related Questions

If it is 2:00 pm in South Carolina (SC), what time is it in eastern Montana (MT)?

Answers

Answer:

12:00pm in Montana USA.


Step-by-step explanation:

Time zone in South Carolina, USA follows GMT-5hrs.

Time zone in Montana, USA follows GMT-7hrs.

So the difference between two time zones are 2 hours.

It means South Carolina USA is 2 hours ahead of Montana USA. Or Montana's time lags South Carolina's time by 2 hours.

So if it is 2:00pm in South Carolina USA, then it would be 12:00pm in Montana USA.

A tree measured 25 1/2 feet tall. Over the next 7 1/2 years, it grew to be 63 feet tall. During the 7 1/2 years, what was the average yearly growth rate of the tree?

Answers

Greetings!

Answer:

5feet per year

Step-by-step explanation:

We need to find the distance it grew in that 7 1/2 years:

63 - 25 1/2 = 37 1/2

Now to find the average yearly growth we can divide this by 7 1/2:

37.5 ÷ 7.5 = 5

So the yearly rate of growth of the tree is 5f/y


Hope this helps!

What is the factorization of the trinomial below 4x2+28x+48

Answers

Answer:

4(x +3)(x +4)

Step-by-step explanation:

First of all, recognize that each coefficient is a multiple of 4.

Factoring that out makes it easier to see that you need factors of 12 that add to give 7. Those are not hard to find as being 3 and 4. These numbers go into the binomial factors to give ...

... 4x^2 +28x +48 = 4(x^2 +7x +12) = 4(x +3)(x +4)

Answer:

[tex]4x^2 + 28x +48 = 4(x+4)(x+3)[/tex]

Step-by-step explanation:

We are given the following information in the equation:

[tex]4x^2 + 28x +48[/tex]

We have to factorize the given expression.

We will use the technique of splitting the middle term to factorize.

Factorization can be done in the following manner:

[tex]4x^2 + 28x +48\\\Rightarrow 4(x^2 + 7x + 12)\\\Rightarrow 4(x^2 + 4x + 3x + 12)\\\Rightarrow 4[x(x+4)+3(x+4)]\\\Rightarrow 4(x+3)(x+4)[/tex]

Hence, the given expression can be factorized as:

[tex]4x^2 + 28x +48 = 4(x+4)(x+3)[/tex]

If £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after 2years?

Answers

3% = 3/100 = 0,03

When it's compount interest it's 1,03 because you gain 3% more from what you already have.

All you need to do
1,03•2000=2060$ for the first year

And then for the second year, you take the actual amount after one year of 3%

1,03•2060=2121,8

After two years, there will be 2121,8$

Answer:

Hey!

Your answer is £2121.80 in the account!

Step-by-step explanation:

So to do this, you have to first find out how much would be left after 1 year...

=     3 / 100 x 2000 = £60 *we now add this on to the £2000*

=     2000 + 60 = £2060 *this is what is in the account after 1 YEAR*

Then, find out the amount for the second year!

=     3 / 100 x 2060 = £61.80 *we now add this on to the £2060*

=     2060 + 61.80 = £2121.80 *this is what is in the account after 2 YEARS*

SO AFTER 2 YEARS, THERE IS AN AMOUNT OF £2121.80 IN THE BANK ACCOUNT!

HOPE THIS HELPS!!

The amount and the concentration of a salt solution is given. How much salt would you get if you evaporated all water from this solution? 450g of a 9% solution

Answers

Answer:

40.5 g

Step-by-step explanation:

Find how much salt is in 450 g of a 9% salt solution.

Note that

450 g - 100%,

x g - 9%,

then

[tex]\dfrac{450}{x}=\dfrac{100}{9},\\ \\x=\dfrac{450\cdot 9}{100}=40.5\ g.[/tex]

If you evaporated all water from this solution, then you would get 40.5 g of salt.

Answer:

40.5g

Step-by-step explanation:

RSM anyone?

x -5y =-15

x=-5
what does y equal to

Answers

Hello.

X= −5/14 y

Step 1: Add -15x to both sides.

x−5y+ −15x= 15x+ −15x

−14x−5y=0

Step 2: Add 5y to both sides.

−14x −5y+5y= 0+5y

−14x=5y

Step 3: Divide both sides by -14.

−14x/−14= 5y/−14

x= −5/14 y


Have a nice day


PLEASE HELP QUICK simplify (4x^2+12x-16/2x+10)/(6x+24/x^2+9x+20)

Answers

The given expression is simplified as x² + 3x - 4.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

((4x²+ 12x - 16) / (2x + 10)) / ((6x + 24) / (x ²+ 9x + 20))

It can be simplified as,

((4x²+ 12x - 16) (x ²+ 9x + 20)) / (2x + 10) (6x + 24)

Now, (4x²+ 12x - 16)  and  (x ²+ 9x + 20) can be factorised as,

4x²+ 12x - 16 = 4x²+ 16x - 4x - 16

                   = 4x(x + 4) - 4(x + 4)

                   = (4x - 4) (x + 4)

And, x ²+ 9x + 20 = x ²+ 5x + 4x + 20

                           = x(x + 5) +4(x + 5)                            = (x + 4) (x + 5)

Substitute the factors to get the expression as,

(4x - 4) (x + 4) (x + 4) (x + 5) /  (2x + 10) (6x + 24)

= (4x - 4) (x + 4) (x + 4) (x + 5) /  2 × 2(x + 5) (x + 4)

=  (4x - 4) (x + 4) / 4

= 4(x - 1) (x + 4) / 4

= (x - 1) (x + 4)

= x² + 3x - 4

Hence, the given expression can be simplified as  x² + 3x - 4.

Juan rolls a 6-sided number cube 4 times. The result is 2. Which best describes the events?

Answers

Answer:1/6


Step-by-step explanation: because there are 6 side to a cube and you can only have a outcome of 1 so therefore, the answer is 1/6


Final answer:

Juan's experience of rolling the number 2 on a six-sided die 4 times deals with the concept of independent events in probability. The probability of getting a 2 on any single roll is 1/6 and to roll a 2 four times consecutively, you multiply the probabilities, resulting in a much smaller overall probability.

Explanation:

The question involves understanding the probability of rolling a certain number on a six-sided die, which is a concept in mathematics. When Juan rolls the six-sided number cube 4 times and gets the result of 2 each time, we are analyzing a sequence of independent events in probability. Since each roll of the die is independent, the outcome of one roll does not affect the outcome of the next roll and the probability of rolling a 2 on each individual roll remains constant at 1/6.

Event X, described as rolling an even number, has a probability of 3/6 or 1/2, since the even numbers on a die are 2, 4, and 6. However, the probability of rolling multiple 2's in sequence would be the product of probabilities for each roll. That is, the probability of rolling a 2 four times in a row would be (1/6) * (1/6) * (1/6) * (1/6), which is a much smaller probability. This reflects the notion that rolling the same number consecutively multiple times is less likely than rolling it once.

Please help. I need to know the strategy, the correct work, and to identify the error.

Answers

Answer:

See below

Step-by-step explanation:

13x + 5 + 17x - 4.5 + x

NOTE: You can only add/subtract LIKE terms . Here we have  variable terms in x  (13x , 17x and x) and 2 constants ( 5 and 4.5).

Sarah's next line is

18x + 17x - 4.5 + x

This is incorrect . It looks like she  added 13x + 5 and got 18x!! Which is of course wrong because they are NOT LIKE terms. 5 is a constant and 13x is a variable term in x.

The third line is correct:-

35x - 4.5 + x.

She has added the 2 variables 17x and 18x.

Fourth line  is  30.5x + x. She's at it again - Trying to subtract 4.5 from 35x .

Last line 31.5x

She has added  the 2 terms in x correctly, but the final answer is wrong of course due to the earlier errors.


Which fraction is bigger 7/8 or 13/15

Answers

7/8 because it’s a smaller number but a bigger portion

A fraction will be bigger than another if for the same denominator the numerator is bigger therefore fraction 7/8 will be bigger than 13/15.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given fractions 7/8 and 13/15

Multiply 15 numerators and denominators to 7/8

(7/8) × 15/15 = (7 × 15/8)/15

⇒ 13.125/15

Since 13.125 > 13

Since A fraction will be bigger than another if for the same denominator the numerator is bigger.

So 7/8 > 13/15.

Hence " A fraction will be bigger than another if for the same denominator the numerator is bigger therefore fraction 7/8 will be bigger than 13/15".

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find the product (2x+3y^2)(x-2y^2)

Answers

Answer:

The answer is 2x^2 - xy^2 - 6y^4

Step-by-step explanation:

2xx + 2x(-2y^2) + 3y^2x + 3y^2(-2y^2)

2xx - 2 · 2xy^2 + 3xy^2 - 3 · 2y^2y^2

= 2x^2 - xy^2 - 6y^4

Which of the following sets represents the range of the function shown?

Answers

Answer:

The first one

Step-by-step explanation:


Lyla grew 16 flowers with 2 seed packets. How many seed packets does Lyla need to have a total of 40 flowers in her garden? Assume the relationship is directly proportional. ____ seed packets

Answers

Final answer:

Lyla needs 5 seed packets to grow a total of 40 flowers, assuming the relationship between flowers and seed packets is directly proportional.

Explanation:

Lyla grew 16 flowers with 2 seed packets. To find out how many seed packets Lyla needs to grow a total of 40 flowers, assuming the relationship is directly proportional, we set up a proportion. We have the ratio of flowers to seed packets, which is 16 flowers for 2 seed packets. We need to find how many seed packets would be needed for 40 flowers.

First, write the proportion:

\(\frac{16 \text{ flowers}}{2 \text{ seed packets}} = \frac{40 \text{ flowers}}{x \text{ seed packets}}\)

Solve for \(x\):

\(\frac{16}{2} = \frac{40}{x}\)

\(8 = \frac{40}{x}\)

Multiply both sides by \(x\) and divide both sides by 8 to find the value of \(x\):

\(x \cdot 8 = 40\)

\(x = \frac{40}{8}\)

\(x = 5\)

Therefore, Lyla needs 5 seed packets to grow 40 flowers.

what is 5.68 x 10^4 in standard form

Answers

Answer:

Since the exponent of the scientific notation is positive  4, move the decimal point  4  places to the right.  

56800

Step-by-step explanation:

5.68(104)


=5.68*104


=5.68*(10*10*10*10)


=56800

Answer:

The standard form of [tex]5.68\times 10^{4}[/tex] is [tex]56800[/tex]

Step-by-step explanation:

We need to write [tex]5.68\times 10^{4}[/tex] in standard form

Re-write [tex]5.68\times 10^{4}[/tex] as,

[tex]5.68\times 10000[/tex]

⇒[tex]56800[/tex]

Therefore, standard form of [tex]5.68\times 10^{4}[/tex] is [tex]56800[/tex]

A line is represented by the equation y=2/3x+1 what is the slope of the line with that equation

Answers

Answer: 2/3


Step-by-step explanation:


Slope Intercept Form: y = mx + b


m = slope


So, since 2/3 fits the form above, 2/3 is the slope in this equation.

The slope of the given line equation is [tex]m=\frac{2}{3}[/tex]. Since the given equation is in the form of slope-intercept form of a line y=mx+c.

What is the slope-intercept form of a line?

The slope-intercept form of a line is expressed by the equation y=mx +c. where m is the slope and c is the y-intercept of the line.

Finding the slope of the given equation of the line:

Give that the equation of the line is y=2/3x+1

Comparing this equation with the standard form, we get

m = 2/3 and c=1

So, the slope of the given equation of the line is 2/3.

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The first term if an arithmetic sequence is -5 and the tenth term is 13. Find the common difference.

Answers

[tex]\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=-5\\ n=10\\ a_{10}=13 \end{cases} \\\\\\ a_{10}=a_1+(10-1)d\implies 13=-5+(10-1)d \\\\\\ 13=-5+9d\implies 18=9d\implies \cfrac{18}{9}=d\implies 2=d[/tex]

Answer:

Common difference = 2

Step-by-step explanation:

[tex]n^{th}[/tex] term of an arithmetic progression is given by a + (n-1)d, where a is the first term and d is the common difference.

Here first term is given as -5

           a = -5

Tenth term is 13

           n = 10

          [tex]n^{th}[/tex] term = 13

We have

       -5 + (10-1)d = 13

         9 d = 13 + 5

            9 d = 18

               d = 2

Common difference = 2

a number tripled increased by five is six

Answers

Answer:

x = 1/3

Step-by-step explanation:

3x + 5 = 6

3x = 6 -5

3x = 1

x = 1/3


Proof:

3 * 1/3 + 5 = 6

3/3 + 5 = 6

1 + 5 = 6

6 = 6

3x+5=6
-5 -5
3x 1
/3 /3
x=1/3

Altitude above sea level is given in positive values and below s a level is given in negative values which situation Describes a hiker in Death Valley stopping at an altitude of 0 feet

Answers

It is given that, Altitude above sea level =Positive Values

                                          =Positive Integer{1,2,3,4,5,6,7,8,.......}

Altitude below sea Level=Negative values

                                     =Negative Integer{-1,-2,-3,-4,-5,-6,.......}

Now, The situation given is

 A hiker in Death Valley stopping at an altitude of 0 feet

Zero(0)= The Point 0, means neither Positive nor Negative, that is additive Identity with respect to Addition of Integers.That is when two integers having Opposite sign, means additive Inverse of each other, are added together it yields Zero.

For example

-2 + 2=0

2 and -2 are Additive Inverse of each other.

How do I solve this problem

Answers

Answer:

trrtrtrtrtrtrtrtrt

Step-by-step explanation:


Can someone please help me on number 18 please

Answers

Answer:

3/2 or 1.5

Step-by-step explanation:To find the perimeter you need to multiply the four sides why the same number like: 3/8in(4)wich equal 3/2in or in decimal point 1.5 hope it helps. :)


As a fraction it is 3/2 and as a decimal it is 1.5

PLEASE HELP I HAVE THIS LAST QUESTION PLEASE!!!!

the number of students at Marita's school decreased to 98% of last years number. currently there are 1.170 students. how many students were there last year? round to the nearest whole number. please include and explanation.

Answers

2,317
Because you get 1,170 times .98 which equals 1,146.6. Then, you get 1,146.6 plus 1,170 and get 2,136.6 and to the nearest whole number it will be 2,317.

7 less than 9 times a number is 56

Answers

Answer:


Step-by-step explanation:

7-9x=56

Olivia is making scarves. Each scarf will have 5 rectangles, and 4 5 of the rectangles will be purple. How many purple rectangles does she need for 2 scarves? Olivia needs purple rectangles.

Answers

Answer:

Out of every 5 rectangles 2 shall be purple.

3 scarves have 3 times 5 rectangles.

Thus they shall be 3 times 2 that are purple.



To solve the problem: "What is 3/4 of 12," you would _____ .

Add
Subtract
Multiply
Divide

Answers

3/4 of 12 is 9 because if you MULTIPLY 12•3/4 it will equal 9.

Final answer:

To find 3/4 of 12, you multiply 12 by the fraction 3/4. Multiplying 0.75 (the decimal equivalent of 3/4) by 12 results in 9. Hence, 3/4 of 12 is 9.

Explanation:

To solve the problem: "What is 3/4 of 12," you would multiply. This type of problem is asking for a part of a whole, where 'of' typically signifies multiplication in mathematics. We can think about this conceptually: if half of 12 is 6, then three-quarters would be half of 12 plus half of 6. In mathematical terms, you would calculate 3/4 × 12 to find the answer.

To break it down:

Convert 3/4 to a decimal if needed, which is 0.75.

Multiply 0.75 by 12.

The result is 9, so 3/4 of 12 equals 9.

This is because when you are finding a portion of a number, you are determining how many times that portion fits into the whole. So, you're effectively scaling the number 12 by the fraction 3/4, which is accomplished through multiplication.

PLEASE PLEASE PLEASE HELP ME!!!

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9?

x + 2y = 21

A. 4x + 6y = 64
B. 2x + y = 36
C. 4x + y = 21
D. -3x + 4y = 33
E. 3x + 2y = 28

Answers

Answer:

C. 4x + y = 21

Step-by-step explanation:

(4 x 3) + 9

12 + 9 = 21

Answer:

It's C.

Step-by-step explanation:

It's right on edmentum. Also, just use substitution. Not that hard.

how many tablespoons are in 1/4 cup

Answers

Answer:

1 / 4 US cups = 4 US tablespoons

Step-by-step explanation:

trust me its right

05 - O gráfico a seguir mostra a prevalência de obesidade da
população dos EUA, na faixa etária de 20 a 74 anos, para mulheres
e homens, e de 12 a 19 anos, para meninas e meninos.

a) de 1960 a 2002, em média, 30% dos homens estavam obesos.

b) a porcentagem de meninas obesas, no período 1999-2002,
era o dobro da porcentagem de meninas obesas no período
1988-1994.

c) no período 1999-2002, mais de 20% dos meninos estavam
obesos.

d) no período 1999-2002, mais de 50% da população pesquisada
estava obesa.

e) a porcentagem de mulheres obesas no período 988-1994 era
superior à porcentagem de mulheres obesas no período 1976-
1980

Answers

I don’t know spanish sorry

Factor the expression. ( q2 − r2s) ( q4 + q2r2s + r4s2)

Answers

(5q2 − r2s)(25q^4+5q^2r^2s+1r^4s^2)

To factor the expression, identify the difference of squares in the first part and the sum of cubes in the second part. Apply the relevant factoring formulas to obtain the fully factored form.

To factor the expression[tex](q^2 - r^2s) (q^4 + q^2r^2s + r^4s^2),[/tex] we must first recognize that the second part is a sum of cubes. The formula for factoring a sum of cubes is [tex]a^3 + b^3 = (a + b)(a^2 - ab +b^2)[/tex]. The first part, [tex]q^2 - r^2s,[/tex] can be recognized as the difference of squares, which factors as (q - rs)(q + rs). Therefore, after applying these patterns the factored form of the expression is:

[tex](q - rs)(q + rs)(q^2 + qrs + r^2s^2)[/tex]

Jose and Jenna competed in a bike race. After 30 minutes. Jose had finished 2/3 of the race, and Jenna had finished 7/12 of the race. Who had finished more of the race?

Answers

Answer:

Jose: 2/3 = 8/12

Jenna: 7/12

Jose has finished more of the race.

10x + .0085x = 280000

Answers

Answer:

x = 27976.22021

Step-by-step explanation:

10x + .0085x = 280000

Combine like terms

10.0085x = 280000

Divide by 10.0085 on each side

10.0085x /10.0085= 280000/10.0085

x = 27976.22021

Other Questions
Me Kaplan is ordering 30 flash drives for the students in his class. If each one costs $11.95 how much will he pay Which friends are most influential in a choice to avoid alcohol How can the continuous addition of heat in a closed system cause it to explode? The lengths of two sides of a triangle are 7 and 11. Which could not be the length of the third side? 5 10 12 19 1.) A video store is selling previously owned DVDs for 40% off the regular price of $15. What is the sale price of the DVDs? Show your work 2.) . Due to the increased rate of its rent, the Neat Novelties Store had to markup the cost of its helium balloons by 7%. The stores original cost for a bunch of 8 primary-colored helium-filled balloons was $7.00. What was the selling price after markup? Show Work3.) Cecil Home Builders are offering 10% off the option of finishing a basement on all the new homes they are currently building in the Miller Falls Subdivision. The original cost for the finished basement option is $12,000. What is the cost to the buyer after the discount? Show Work Which force is opposite gravity? A. Normal ForceB. Frictional ForceC. Applied Force Solve using elimination2x+2y=83x+2y=12 Which u.s. government department is responsible for implementing u.s. foreign policy and diplomacy efforts and plays a key role in integrating the capabilities of the u.s.? the department of state is the lead federal agency and oversees u.s. government coordination and support to a host nation's internal defense and development/coin efforts? Alan hikes 4.5 miles in 3 hours. Determine whether quantities (distance and time) vary directly or inversely and find the constant of variation. Exam: 02.07 PruebaQuestion 1(Multiple Choice Worth 2 points)Yo _________ profesor.estoysoyQuestion 2(Multiple Choice Worth 2 points)Ella ______ de Bolivia.estesQuestion 3(Multiple Choice Worth 2 points)______las diez.EstnSonQuestion 4(Multiple Choice Worth 2 points)Hoy _________jueves.estesQuestion 5(Multiple Choice Worth 2 points)______las nueve de la maana..EstnSonQuestion 6(Multiple Choice Worth 2 points)Hoy _________lunes.estesQuestion 7(Multiple Choice Worth 2 points)Nosotros __________en Madrid.estamossomosQuestion 8(Multiple Choice Worth 2 points)Miguel_________en la sala.estesQuestion 9(Multiple Choice Worth 2 points)Ustedes __________en Mxico.EstnsonQuestion 10(Multiple Choice Worth 2 points)Yo __________contento.estoysoy Find slope of the points (10,-6) and (-1,8) What diseases and disorders can be prevented or lessened through regularcardiorespiratory exercise? how did quantum mechanics change our understanding of atoms? A. in quantum mechanics, electrons exist in a cloud-shaped area outside the nucleus. B. in quantum mechanics, photons exist in a cloud-shaped area outside the nucleus.C. in quantum mechanics, photons are a part of the nucleus along with electrons.D. in quantum mechanics, photons are a part of the nucleus along with protons. Find the 23 rd term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=1 What is 3(x+1)-8=14-2(3x-4) Heres a set of questions. You have to determine what the variable is. variable= A letter.1. 7(m+5)=212. -2v+9=253. 1/3y-18=24. 6-8p=385. 15=5k-13 Which statement is a contrapositive of p? p: If x is divisible by 4, then x is divisible by 2. A. If x is divisible by 2, then x is divisible by 4. B. If x isnt divisible by 4, then x isnt divisible by 2. C. If x isnt divisible by 2, then x isnt divisible by 4. D. If x is divisible by 2, then x isnt divisible by 4. E. If x isnt divisible by 4, then x is divisible by 2. Oxygen-rich blood flows from _____ before the aorta carries it to the body. what two consecutive numbers that square root of 101 lies between according to the summary for scene 1 of this drama,both banquo and Macbeth wonder?A.who is Duncan's murdererB.why the two murderers have comeC.weather fleance is attending the feastD.weather the prophecy about banquo is true Steam Workshop Downloader