Find an equation for the perpendicular bisector of the line segment whose endpoints are -7,-2 and 5,4

Answer:

3rd option

Step-by-step explanation:

We have two kind of necks and three different colours so the andswer would be 3rd option

Crew-neck :CB,CY,CG

V-neck : VB,VY,VG

Answer:

The 3rd one is correct.

Step-by-step explanation:

Answer: Tracey attended 70% of the basketball games.

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

As a fraction, 14 / 20.

If you multiply the 2 Terms by 5, you would get 70 / 100 which equals 70%.

Best of Luck!

Answer:

Step-by-step explanation:

Final answer:

To find the weight of the bar of gold, solve the equation (1/3)x + 30 = x, where x represents the weight of the bar. After simplifying, the weight of the bar is found to be 45 pounds.

Explanation:

To solve this problem, let's assume the weight of the bar of gold is x pounds. According to the given information, one-third of the weight of the bar of gold plus 30 pounds equals the weight of the bar of gold. This can be written as:

(1/3)x + 30 = x

To solve for x, we can start by subtracting (1/3)x from both sides of the equation:

(1/3)x + 30 - (1/3)x = x - (1/3)x

This simplifies to:

30 = (2/3)x

To isolate x, we can multiply both sides of the equation by 3/2:

(3/2)(30) = (3/2)(2/3)x

45 = x

Therefore, the bar of gold weighs 45 pounds.

Answer:

The number of miles traveled for x hours

Step-by-step explanation:

Answer:

Complete paragraph proof withe Diagram is below.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Step-by-step explanation:

Complete the paragraph proof.

Given: M is the midpoint of

Prove: ΔPKB is isosceles

Triangle P B K is cut by perpendicular bisector B M. Point M is the midpoint of side P K.

It is given that M is the midpoint of and . Midpoints divide a segment into two congruent segments, so . Since and perpendicular lines intersect at right angles, and are right angles. Right angles are congruent, so . The triangles share , and the reflexive property justifies that . Therefore, by the SAS congruence theorem. Thus, because __corresponding parts of congruent triangles are congruent _.

Finally, ΔPKB is isosceles because it has two congruent sides.

Δ PMB ≅ Δ KMB ...........SAS congruence theorem

∴ PB ≅ KG ......corresponding parts of congruent triangles are congruent

Answer: A

Step-by-step explanation:

518x5=2,590, So your estimate is about 2,600, Because we want to round up, So we look in the tens place and we see a nine, so that means we go up on, Also 5 and up means we gonna round up and 5 and below means we gonna round down.

The answer to 518*5 is 2590 or rounded, 3000, or 2600.

You can get your answer my multiplying 518 by 5 and rounding it to the nearest thousands place, hundreds place or tens place.

Hope this helped!

Answer:

[tex]dis \: is \: easy \\ angle \: in \: a \: circle = 360 \\ the \: angle \: is \: divided \: into \: six \: part \\ divide \: the \: 360 \: by \: 6 \\ \frac{360}{6} = 60 \\ therefore \: the \: angle \: of \: one \: part \: \\ = 60 \: degree[/tex]

Answer:

answer c-204 r1

Step-by-step explanation:

409 divided by 2 is 204.5 or 204 r1

Complete the equation of the line whose slope is -2 and y intercept is (0,3)

The equation of the line whose slope is -2 and y intercept is (0,3) is y = -2x + 3

Given that line has slope of -2 and y - intercept of (0, 3)

We have to find the equation of line

The equation of line can be found by using the slope intercept form

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of line and "c" is the y-intercept

Here given that slope = m = -2

y - intercept is the y-coordinate of a point where a line intersects the y-axis.

So here y intercept is (0, 3) and we get c = 3

Substituting the values in slope intercept form we get,

y = -2x + 3

Thus the equation of line is found

113

Step-by-step explanation:

7 plus 6 is 14 carry the one over to the 6 of the 67 then add the one the six and the four that equals 11

that gets you

113

Answer:

kaleb is correct

Step-by-step explanation:

The awsner  is Brook did the distance between L and M, Vivian however did the distance between M and N. Hope this helps you

Answer:

The area of the shaded portion of the figure is [tex]9.1\ cm^2[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The shaded area is equal to the area of the square less the area not shaded.

There are 4 "not shaded" regions.

step 1

Find the area of square ABCD

The area of square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]b=4\ cm[/tex]

substitute

[tex]A=4^2=16\ cm^2[/tex]

step 2

We can find the area of 2 "not shaded" regions by calculating the area of the square less two semi-circles (one circle):

The area of circle is equal to

[tex]A=\pi r^{2}[/tex]

The diameter of the circle is equal to the length side of the square

so

[tex]r=\frac{b}{2}=\frac{4}{2}=2\ cm[/tex] ---> radius is half the diameter

substitute

[tex]A=\pi (2)^{2}[/tex]

[tex]A=4\pi\ cm^2[/tex]

Therefore, the area of 2 "not-shaded" regions is:

[tex]A=(16-4\pi) \ cm^2[/tex]

and the area of 4 "not-shaded" regions is:

[tex]A=2(16-4\pi)=(32-8\pi)\ cm^2[/tex]

step 3

Find the area of the shaded region

Remember that the area of the shaded region is the area of the square less 4 "not shaded" regions:

so

[tex]A=16-(32-8\pi)=(8\pi-16)\ cm^2[/tex]  

---> exact value

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(8(3.14)-16)=9.1\ cm^2[/tex]

Answer:

The equation of line is y= [tex]\dfrac{2}{3}[/tex] x - 7  

Step-by-step explanation:

Given as :

The points as [tex]x_1[/tex] = 6

And [tex]y_1[/tex] = - 3

The slope of the line = m = [tex]\dfrac{2}{3}[/tex]

Now, The equation of line in slope-point form

y -  [tex]y_1[/tex] = m × (x -  [tex]x_1[/tex])

Or, y - (-3) =  [tex]\dfrac{2}{3}[/tex] × (x - 6)

Or, y + 3 =  [tex]\dfrac{2}{3}[/tex] × (x - 6)

Or, 3 × (y + 3) = 2 × (x - 6)

Or, 3 y + 9 = 2 x - 12

Or, 3 y = 2 x - 12 - 9

Or, 3 y = 2 x - 21

∴  y = [tex]\dfrac{2}{3}[/tex] x - [tex]\dfrac{21}{3}[/tex]

i.e y = [tex]\dfrac{2}{3}[/tex] x - 7

So, The equation of line = y = [tex]\dfrac{2}{3}[/tex] x - 7

Hence, The equation of line is y= [tex]\dfrac{2}{3}[/tex] x - 7  Answer

Answer:

[tex]x=-3\ or\ \frac{5}{2}[/tex]

Step-by-step explanation:

Given:

Given equation is.

[tex]2x^{2} +3x-10=2x+5[/tex]

Find values of x?

Solution.

[tex]2x^{2} +3x-10=2x+5[/tex]

[tex]2x^{2} +3x-10-2x-5=0[/tex]

[tex]2x^{2} +x-15=0[/tex]

Find the roots of the equation.

compare the above equation with [tex]ax^{2} +bx+c=0[/tex]

Therefore, [tex]a=2,b=1,c=-15[/tex]

[tex]x=\frac{-b\pm\sqrt{(b)^{2}-4ac}}{2a}[/tex]

Put a,b and c value in above equation.

[tex]x=\frac{-1\pm\sqrt{(1)^{2}-4(2)(-15)}}{2(2)}[/tex]

[tex]x=\frac{-1\pm\sqrt{1-8(-15)}}{4}[/tex]

[tex]x=\frac{-1\pm\sqrt{1+120}}{4}[/tex]

[tex]x=\frac{-1\pm\sqrt{121}}{4}[/tex]

[tex]x=\frac{-1\pm\sqrt{(11)^{2}}}{4}[/tex]

[tex]x=\frac{-1\pm 11}{4}[/tex]

For positive sign

[tex]x=\frac{-1+ 11}{4}[/tex]

[tex]x=\frac{10}{4}[/tex]

[tex]x=\frac{5}{2}[/tex]

For negative sign

[tex]x=\frac{-1- 11}{4}[/tex]

[tex]x=\frac{-12}{4}[/tex]

[tex]x=-3[/tex]

[tex]x=-3\ or\ \frac{5}{2}[/tex]

Therefore, the value of [tex]x=-3\ or\ \frac{5}{2}[/tex] satisfy the given equation.

Answer:

23%

Step-by-step explanation: ???

Answer:

The amount into account after a year is $1042

Step-by-step explanation:

Given as :

The principal amount into the account = p = $1000

The amount is growing at the rate = r = 4.2 % per year

Let The Amount into account after 1 year = $A

So, According to question

The amount into account after 1 year = The principal amount × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]

Or, A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm 1}[/tex]

Or, A = $1000 × [tex](1+\dfrac{\textrm 4.2}{100})^{\textrm 1}[/tex]

Or, A = $1000 × 1.042

Or, A = $1042

So, The amount into account after a year =  A = $1042

Hence,The amount into account after a year is $1042 . Answer

Answer:

2x(x + 5)(x - 2y)

Step-by-step explanation:

Given

2x³ + 10x² - 4x²y - 20xy ← factor out 2x from each term

= 2x(x² + 5x - 2xy - 10y)

Factor the first/second and third/fourth terms inside the parenthesis

= 2x(x(x + 5) - 2y(x + 5)) ← factor out (x + 5) from each term in the parenthesis

= 2x(x + 5)(x - 2y)

Answer: [tex]2 z + 6[/tex] and [tex]2 (z + 3)[/tex]

Step-by-step explanation:

We have te following expression:

[tex]z+(z+6)[/tex]

Which can be written as:

[tex]z+z+6=2z+6[/tex]

Applying common factor 2 in the right side of the equation:

[tex]z+z+6=2(z+3)[/tex]

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: [tex]Slope= \frac{Rise}{Run}[/tex]

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= [tex]\frac{7.25}{7}= 1.0357 \approx 1.04[/tex] (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

Answer:

The number of tables were used that day at lunch is 23 tables.

Step-by-step explanation:

Given as :

The total number of students in the Polk school = 203

On one day the number of students absent = 19

So, The number of student present on that day = Total student - absent students

I.e The number of student present on that day = 203 - 19 = 184

The number of students sit on each table = 8

Let The number of tables were used that day at lunch = n

So, According to question

The number of tables were used that day at lunch = [tex]\dfrac{\textrm The number of student present on that day}{\textrm Total number of students sit on each table}[/tex]

I.e n = [tex]\frac{184}{8}[/tex]

∴ n = 23 tables

So, The number of tables were used that day at lunch = n = 23 tables

Hence, The number of tables were used that day at lunch is 23 tables. Answer

Answer:

f(x) = -5/9 x + 5 1/9

Step-by-step explanation:

f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)

f(x) = mx + b

m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9

for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9

f(x) = -5/9 x + 5 1/9

check for (-7, 9)    f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9

Final answer:

The linear function that satisfies the given points f(2)=4 and f(-7)=9 is f(x) = (-5/9)x + (46/9).

Explanation:

To write a linear function f(x) that satisfies f(2)=4 and f(-7)=9, one must determine the slope and y-intercept of the line. A linear function has the form y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope using the two points (2, 4) and (-7, 9):

Slope (m) = (y2 - y1) / (x2 - x1) = (9 - 4) / (-7 - 2) = 5 / -9.

Now we have the slope which is -5/9. We can use one of the points and the slope to find the y-intercept (b). Let's use the point (2, 4):

4 = (-5/9)(2) + b

b = 4 + (10/9) = 46/9

Therefore, the linear equation of the function is:

f(x) = (-5/9)x + (46/9).

Answer:

$120

Step-by-step explanation:

Let the cost of the dress be "c"

ONE HALF the cost DECREASED by 12, can be written as:

[tex]\frac{1}{2}c-12[/tex]

2/5th the cost of dress, can be written as:

[tex]\frac{2}{5}c[/tex]

Now, we equate both parts and solve for c to get cost of dress. Shown below:

[tex]\frac{1}{2}c-12=\frac{2}{5}c\\\frac{1}{2}c-\frac{2}{5}c=12\\\frac{5-4}{10}c=12\\\frac{1}{10}c=12\\c=\frac{12}{\frac{1}{10}}\\c=12*10\\c=120[/tex]

Thus,

The ccost of the dress is $120

Answer:

Paolo reads in total 26 fiction and 14 non- fiction books.

Step-by-step explanation:

Here, the total number of books read by Paolo = 40 books

The percentage of non-fiction books read = 35%

Now, 35% of total books read =  35% of 40

⇒ [tex]\frac{35}{100} \times 40 = 14[/tex]

So, the number of non -fiction books read by Paolo = 14

Now, the number of fiction booosk read

= Total books read - Non- Fiction books read

=  40 - 14  =  26

So, the number of fiction books read by Paolo = 26

Hence, Paolo reads in total 26 fiction and 14 non- fiction books.

Answer:

#5

It is not a function because the some x-values can have more than one possible y-value. The x-values can have the positive and negative y-value.

Step-by-step explanation:

The equation is the equation for a circle. When you graph a circle, it does not pass the vertical line test.

Example: if x is 6

6² + y² = 100

36 + y² = 100

y² = 100 - 36

y² = 64

y = ± √64   This is true because: (-8)² = 64 AND 8² = 64

y = -8 OR 8

By the way, for #4 it is not a function.

The points (13, 4) and (13, -4) mean that x will have more than one y value. The x-value 13 will have y-values 4 and -4.

Answer:

Domain and range of the equation

Y = 3X-7.25

will be Set of all Real numbers.

Step-by-step explanation:

Because at any value of x, you will get a respective value of y. For example if you put X=0, then y=7.25. You can put any value of X in the equation and for each value equation will be true and will give respective value of y.

After selling 35 books, the store will break-even.

Step-by-step explanation:

Given,

Cost required per day to keep store open = $105

Amount spent on each book = $12

Let,

n be the number of books.

Total costs = 12n + 105

Selling price of each book = $15

Total revenue = 15n

For braking even;

Costs = Revenue

[tex]12n+105=15n\\105=15n-12n\\105=3n\\3n=105[/tex]

Dividing both sides by 3

[tex]\frac{3n}{3}=\frac{105}{3}\\n=35[/tex]

After selling 35 books, the store will break-even.

Keywords: revenue, cost, division

Learn more about division at:

#LearnwithBrainly

Final answer:

Tommy's class collected $8.00.

Explanation:

To find out how much money Tommy's class collected, we can set up an equation:

x * 2 = 16.00

Solving for x, we divide both sides of the equation by 2:

x = 8.00

Therefore, Tommy's class collected $8.00.

The expressions logM^(p)=p*logM and log ((M)/((N)))=logM-logN both correctly apply rules of logarithm, while log ((M)/((N)))=(logM)/(logN) and (logM)^(p)=p*logM don't.

The subject matter involves logarithmic identities in Mathematics, specifically, rules of logarithms. Logarithms have certain properties that allow us to simplify complex expressions.

Let's go through each expression:

https://brainly.com/question/30287525

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Answer:

A. The Number of Lost games = 154 Games

B. Number of games won is greater than the number of games lost.

Step-by-step explanation:

A. how many games did they lose in both years?

Total Number of games = 104 tournaments x 3 Games in each tournament

Total Number of games = 312 Games

The No. of Lost games= Total Games in 2 years - Games won in 1st year - Games won in 2nd year

The No. of Lost games = 312 - 55 - 103

The No. of Lost games = 154 Games

B. Is the number of games won greater than the number of games lost?

Total Number of Games won = 158 Games

Total Number of Games lost = 154 Games

Hence, Total Number of Games won is greater than the Total Number of Games lost.

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

C