Type the correct answer in each box. If necessary, use / for the fraction bar(s). Given: AB || CD . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is _____ . If the coordinates of point D are (5 , 5), the equation of line CD is y = ___ x + ___ .

Answers

Answer 1

Answer:

Im not sure about the other 2 but the last box is 12, the answer above is incorrect for PLATO. I just took the test.

Answer 2
Final answer:

The y-intercept of line AB is 0, and the equation of line CD is y = 5.

Explanation:

The y-intercept of a line is the point where it intersects the y-axis. In this case, we are given the coordinates of point A as (8, 0). Since the y-coordinate of point A is 0, the y-intercept of line AB is 0.

The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. The slope of line CD can be found by finding the difference in y-coordinates divided by the difference in x-coordinates between points C and D. In this case, the slope is (5 - 5) / (5 - 5) = 0. Therefore, the equation of line CD is y = 0x + b, where b is the y-intercept. Since point D has coordinates (5, 5), the y-intercept is 5. Therefore, the equation of line CD is y = 0x + 5, or simply y = 5.


Related Questions

a snack company makes 3 batches of a nut mix using the recipe shown.
each batch contains a different total amount of mix.
how much of each type of nuts should be in each batch

Answers

full question not given...please resend

Answer:

Please include the "recipe" so we can answer the question :/

Is 0.166 rational or irrational?

Answers

Answer:

the Answer is irrational

Step-by-step explanation:

The perimeter of a square is equal to four times the length of a side. Write the direct v variation equation that represents the situation. Y be the dependent variable and let X the independent variable

Answers

Answer: [tex]y=4x[/tex]

Step-by-step explanation:

A direct variation equation has the form:

[tex]y=kx[/tex]

Where k is a constant.

By definition, we know that the perimeter of the square is the sum of the lengths of its sides or, as all the sides are equal, you can multiply the lenght of any side by 4.

 Then, knowing that y is the dependent value and x the independent value and the constant k=4, you can write the following direct variation equation that represents the situation.

[tex]y=4x[/tex]

Final answer:

The direct variation equation that represents the perimeter (Y) of a square in relation to its side length (X) is Y = 4X, where the constant of variation is 4.

Explanation:

The question asks us to write a direct variation equation where perimeter of a square is the dependent variable (Y) and the side length is the independent variable (X). For a square, the perimeter (P) is equal to four times the side length (s), hence we can write the direct variation equation as Y = 4X. This equation indicates that the perimeter of a square directly varies with its side length, with the constant of variation being 4.

(X+1)-(-2x - 5)

Help

Answers

answer: 3x + 6

x + 1 + 2x + 5 = 3x + 6

remember to first distribute the negative to both terms in the second parentheses which makes the 2x and 5 both positive and then just combine like terms . pls mark brainliest

Answer:

3x+6 is the answer

Step-by-step explanation:

Find the value of X to the nearest tenth.
Answer options: 10.5, 9.9, 10.1, 8.9.

Answers

Answer:

9.9

Step-by-step explanation:

Given the right angle triangle, we simply apply Pythagoras theorem to determine the length of the remaining side x;

x^2 = 18^2 - 15^2

x^2 = 99

x = sqrt(99) = 9.9

Answer:

9.9

Step-by-step explanation:

To find the value of x, we use the Pythagorean Theorem.

[tex]a^{2}+b^{2}=c^{2}[/tex]

a = x

b = 15

c = 18

[tex]x^{2}+15^{2}=18^{2}[/tex]

[tex]x^{2} + 225 = 324[/tex]

[tex]x^{2}=342-225[/tex]

[tex]x^{2}=99[/tex]

[tex]\sqrt{x^{2} }=\sqrt{99}[/tex]

[tex]x=9.95[/tex]

Two lines, A and B, are represented by the following equations:

Line A: 3x + 3y = 12
Line B: x + y = 4

Which statement is true about the solution to the set of equations?

It is (12, 4).
There are infinitely many solutions.
It is (4, 12).
There is no solution.

Answers

Answer:it would be infinalty many

Step-by-step explanation:

The statement "There are infinitely many solutions" is true about the solution to the set of equations, as the lines represented are coincident.

To determine the solution to the set of equations, we can solve them simultaneously.

Given:

- Equation of Line A: 3x + 3y = 12

- Equation of Line B: x + y = 4

To find the solution, we can use methods like substitution or elimination. Here, let's use the elimination method:

Multiply the second equation by 3 to match the coefficients of \(y\) in both equations:

3(x + y) = 3(4)

3x + 3y = 12

Now, we can see that both equations represent the same line, so they are coincident or overlapping. Therefore, there are infinitely many solutions.

Hence, the statement "There are infinitely many solutions" is true about the solution to the set of equations.

Find the simplified product
(Sqrt 2x^3)(sqrt 18x^5)

Answers

The answer is 6x^4

You can find the equation to your question here

https://brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

Answer:

[tex]6x^4[/tex]

Step-by-step explanation:

the expression we have is:

[tex](\sqrt{2x^3})( \sqrt{18x^5} )[/tex]

Because it is a product of two square roots, we can put it together in one:

[tex]\sqrt{(2x^3)(18x^5)}[/tex]

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

[tex]\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8} \\[/tex]

and now we can take the square root of 36 which is 6.

and to take the square root if [tex]x^8[/tex] we divide the exponent by 2:

[tex]=6x^{8/2}\\=6x^4[/tex]

the simplified product is:  [tex]6x^4[/tex]

Complete the statement. 469.1mg=?g

Answers

I believe that would be 0.4691g

shelby needs 4/8 of a cup of oatmeal for each batch if she wants to make 7 batches how much oatmeal will she need​

Answers

4/8=1/2
1/2×7=7/2
7/2=3 1/2 cups

Help!!! Which equation represents a linear function?
Equation 1: y=2^2 +1
Equation 2: y^2 = 3x + 1
Equation 3: y=5x - 1
Equation 4: y= 4x^4 - 1

(Can only be one!!!)

Answers

Step-by-step explanation:

y=5x-1

Because there is no exponent this is linear and not exponential

I need help, I need the help for today please ​

Answers

Answer:

oof, that looks hard

Step-by-step explanation:

Answer:

Divide area by 2

Step-by-step explanation:

the two triangles are half of the paralleogram.

Victor has $28 in his saving account and he will save $11 every week.Be sure include the expresion in your answer ​

Answers

Answer:

y= 11x+28, with y being the amount of money Victor has in his savings account and x being the amount of weeks that have passed

Step-by-step explanation:

Victor already has 28 dollars at the beginning so that will be the y-intercept, he'll save $11 every week so that must be the x.

A salesperson makes a base salary of $2100 per month. Once he reaches $42,000 in total sales, he earns an additional 5% commission on the amount in sales over $42,000.
(1) Graph the function.
(2) If the salesperson had $80,000 in sales, how much was his salary?
(3) If the salesperson's total salary for a month was $4500, how much were his total sales for that month?
(4) Compute S(25000) and interpret what this means in the context of the problem.

Answers

Answer:

(1) Observe the attached image

(2) [tex]S = \$4,000[/tex]

(3) [tex]x = \$90,000[/tex]

(4) [tex]S = 2100[/tex]

Step-by-step explanation:

(1) Let's call S the salary for the month the seller wins.

Let's call x the amount of dollars reached by the sales of that month.

The seller earns a base salary of $ 2100 per month.

Then, if x> 42,000 he wins a commission of 5% on sales.

Then the equation modeling this situation is:

[tex]S =\left\{{{0.05(x-42,000)+2100\ if\ x>42,000} \atop{2,100\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ if\ 0\leq x\leq42,000}}\right.[/tex]

The graph of the function is shown in the attached image.

(2) If x = 80,000, then your salary was:

[tex]S = 0.05(80000-42000) +2100\\\\S = \$4,000[/tex]

(3) If S was 4500 and we want to find x then we equal S to 4500 and solve for x.

[tex]S = 4,500 = 0.05(x-42,000) + 2,100\\\\\frac{2,400}{0.05} = (x-42,000)\\\\x = \frac{2400}{0.05} +42,000\\\\x = \$90,000[/tex]

(4) S (25000) means that x equals 25000. Since x represents sales, this means that during the month, the seller only reached $ 25,000.

Then [tex]x <42000[/tex]

Therefore [tex]S = 2100[/tex].

With an example, how do I explain what the graph of a rational function looks like. Explain it in terms of it being a line and why the line is shaped the way it is on the graph.

Answers

Answer:

Hi,

These graphs looks like a smooth curve due to the asymptotes,or a straight line to which the graph of the function gets arbitrarily close.

Step-by-step explanation:

Rational functions are in the form of y= f(x) where f(x) is a rational expression. The graphs of rational functions are drawn by first finding the asymptotes and the intercepts. The graph follows a smooth curve that connects the points without crossing the vertical asymptotes. The line is shaped in that shape to satisfy the vertical line test.

Best wishes!

Cindy needs to work a total of 240 hours at her internship. Though she currently has 177.13 hours completed. How many more hours does Cindy need to complete her internship?

Answers

Answer:

62.87

Step-by-step explanation:

240-177.13=62.87

Rolling two sixes in a row on a number cube. Dependent Or Independent?

Answers

Independent. The second event is not affected by the first event. Such as, if you pick up a card without replacement.
Final answer:

Rolling a six on a die twice in a row is an example of independent events, as the outcome of one roll doesn't affect the outcome of the other, confirmed by applying the Multiplication Rule for independent events in probability theory.

Explanation:

The question is asking whether rolling a six on a die twice in a row is considered a dependent or independent event. In probability theory, two events are considered independent if the occurrence of one does not affect the outcome of the other. In this case, rolling a die twice, the outcome of the first roll does not affect the outcome of the second roll. This is because each roll is a separate event and the die does not have a 'memory' of the previous roll.

Using the Multiplication Rule for independent events, we can confirm this. The Multiplication Rule states that the probability of two independent events happening together (A and B) is the product of their individual probabilities (P(A AND B) = P(A) * P(B)).

Applying this rule to our situation, the probability of rolling a six (A) and then rolling another six (B) is the product of the probabilities of each of these events happening on their own. This is (1/6)*(1/6) = 1/36. The result confirms that the two rolls are, indeed, independent events.

Learn more about Probability of Independent Events here:

https://brainly.com/question/30635387

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Consider the equation 5 + x = n. What must be true about any value of x if n is a negative number?

Answers

If n is negative, we have

[tex] 5+x = n<0[/tex]

So, in particular, we have

[tex]5+x<0 \iff x<-5[/tex]

So, x must be smaller than -5

The true statement about the equation [tex]5+x=n[/tex] is that [tex]5+x=n < 0[/tex] and  [tex]5+x=x < -5[/tex].

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’,

If n is negative, we have

[tex]5+x=n < 0[/tex]

So, in particular, we have

[tex]5+x=x < -5[/tex]

So, x must be smaller than -5

To know more about inequality follow

https://brainly.com/question/24372553

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Solve anyone plz it would mean a lot

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Go up from 2 on the x axis until you hit the line

Go across to see what value it hit the line at

This will give you the answer of $1

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

D is the answer

Step-by-step explanati

The value of a stock increases at a rate of 1/2% per year. If the initial value of the stock $40 a share, when will the value of the stock be $50? Round your answer to the nearest tenth of a year

Answers

Answer:

After 45.7 years

Step-by-step explanation:

∵ r = 1/2% per year

∵ P0 = $40

∵ Pn = $50

Pn = P0 ( 1 + r/100)^n-1

∵ P0 is initial value , Pn is the value after n years , is the rate

∴ 50 = 40 (1 + 0.5/100)^n-1

∴ 50/40 = (1.005)^n-1

∴ 1.25 = (1.005)^n-1 ⇒ insert ln in both sides

∴ ln(1.25) = (n-1)ln(1.005)

∴ n - 1 = ln(1.25)/ln(1.005)

∴ n = ln(1.25)/ln(1.005)  + 1 = 45.7 years

Help Please! Thanks so much if u do

Janette went to Tire Mart and paid $122.57 per tire for 4 tires and a flat rate fee for installation for a total of $555.28 before taxes. Monique went to Fast Wheels and paid $136.71 per tire for 4 tires and a flat rate fee for installation for a total of $585.34 before taxes. The difference in the amount that they paid in installation charges is $

Answers

Answer:

$65

Step-by-step explanation:

Let's add up the flat rate and the cost of four tires:

flat rate + 4($122.57/tire) = $555.28

We are to solve for "flat rate."  First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total.  Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.

Thus, the installation charge ("flat rate") must have been $65.

What kind of food do math teachers eat

Answers

Answer:

Food.

Step-by-step explanation:

They could eat anything, really.

Answer:

apples

Step-by-step explanation:

express the following in factors; (n+1)!+n!​

Answers

Answer:

n! (n + 2).

Step-by-step explanation:

(n + 1)! =  (n + 1) * n * (n - 1) * (n - 2) .............. * 1.

      n! =   n * (n - 1) * (n - 2) .............. * 1

- so (n + 1)! = (n + 1) * n!

and  (n + 1)! + n!

= n!( n + 1 + 1)

= n! (n + 2).

Find the median

7,5,8,7,8,13

Answers

In order to find median, you have to line up the numbers from least to greatest and then find the middle.

Least to greatest:

5 7 7 8 8 13

Answer:

8 + 7 = 15

15/2 =

7.5

Answer:

the median is 7.5

Step-by-step explanation:

put the numbers in order from least to greatest which would be 5, 7, 7, 8, 8, 13

on a sheet of paper write them in order like above ^

then cross out each number on the end like this (you will cross them out, i am going to delete the ones that are needed to be crossed out.)

5 7 7 8 8 13

   7 7 8 8

       7 8

with 7 and 8 add them togethef and you should get 15.

Finally take 15 and divide it by 2 because there is two numbers in the middle and you should get 7.5

your final answer should be 7.5 for the median.

I hope thid helped <33

If a = 5i - 6j and b = -2i + 4j , find -3a + 2b

Answers

Answer:

-19i + 26j

Step-by-step explanation:

-3 (5i - 6j) + 2 (-2i + 4j)

Distribute/multiply the -3 to everything in the parentheses

-15i + 18j + 2 (-2i + 4j)

Distribute/multiply the 2 to everything in the parentheses

-15i + 18j -4i + 8j

Combine like terms

-19i +26j

Which expression is equivalent to

Answers

Answer:

j^13

Step-by-step explanation:

j j j j j j j j j j j j j j

There are 13 j's so we raise j to the 13 power

j^13

Answer:

c

Step-by-step explanation:

lol.................................

In this figure, ABC is circumscribed about OQ. find the perimeter of ABC.
Answer options: 66, 58, 54, 62

Answers

Answer:

the answer is 66

Step-by-step explanation:

Theorem :If from one external point, two tangents are drawn to a circle then they have equal tangent segments.

Two tangents DB and BE are drawn to a circle from one point i.e.B

So, Using theorem

DB=BE =10 cm

So, Using theorem  

CF = CE = 15 cm

So, using theorem

AD =FA = 8 cm

Now AC = FA+CF = 8+15=23 cm

CB =BE+EC = 10+15=25 cm

AB = AD+DB=8+10=18 cm

Perimeter of triangle = Sum of all sides  

                                     =AB +CB+AC

                                     = 18 + 25 +23

                                     = 56 cm

Hence the perimeter of ΔACB is 56 cm

Point: (-3, 7); Slope: 4

Answers

Answer:

y - 7 = 4(x + 3)

Step-by-step explanation:

Write the equation of a line using the point slope formula. Substitute m = 4 and the point (-3,7) in the formula.

[tex]y - y_1 = m(x-x_1)\\y - 7 = 4(x--3)\\y - 7 = 4(x+3)[/tex]

What is the sum of the arithmetic series below 2+5+8+...+56​

Answers

Answer:

551

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex]( first + last)

The number of terms is

[tex]a_{n}[/tex] = a + (n - 1)d ← d is the common difference, a is the first term

d = 5 - 2 = 8 - 5 = 3, hence

2 + 3(n - 1) = 56

2 + 3n - 3 = 56

3n - 1 = 56 ⇒ 3n = 57 ⇒ n = 19

[tex]S_{19}[/tex] = [tex]\frac{19}{2}[/tex] ( 2 + 56 ) = 19 × 29 = 551

which of the following shows the prime factorization of 360 using exponential notation?​

Answers

You can find the prime factorization of 360 by dividing it by 2. Then you get 2 * 180. 180 can be simplified to 2 * 90. 90 can be simplified to 2 * 45. 45 can simplified to 3 * 15. 15 can be simplified to 3 * 5.

The prime factorization of 360 is 2^3 * 3^2 * 5.

You can check that answer. 2^3 = 8 → 3^2 = 9 → 8 * 9 * 5 = 360

What is 2 divided by 2

Answers

the answer is one .two  can only go into itself once hope this helps :)

Answer:

The answer is 1.

Step-by-step explanation:

To solve this problem, first you set up the division equation.

2 ÷ 2

Then, solve.

2 ÷ 2 = 1.

Therefore, 1 is the answer.

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