Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD

If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?

Answers

Answer 1

Answer:

8,3 y=3x+4

Step-by-step explanation:

Answer 2

The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.

What is Slope?

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given A(8, 0) and B(3, 7).

Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.

Slope of AB = (7 - 0) / (3 - 8) = -7/5

Substituting in the equation,

y = -7/5 x + c

Substituting a point (8, 0) on the equation,

0 = (-7/5 × 8) + c

c = 56 / 5

Given AB parallel to CD.

Slope of parallel lines are equal.

Slope of CD is -7/5.

Equation of the line CD is y = -7/5 x + c.

Substituting (5, 5),

5 = (-7/5 × 5) + c

c = 12

Equation of CD is y = -7/5 x + 12

Hence the equation of line CD is y = -7/5 x + 12.

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Related Questions

Natalie is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Natalie's total payments on a day on which she sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Natalie would have to sell in order to get paid $365 on a given day.

Answers

Answer:

9,500

Step-by-step explanation:

Please help here’s 20 points

Answers

1, 2, and 5 are true.
There aren’t 20 points it’s actually 8

Type the correct answer in each box. Use numerals instead of words. This table represents function f. x -3 2 3 7 y -2 8 10 18 Complete this table to represent the inverse of function f. x -2 8 10 18 y Reset

Answers

Answer:

Step-by-step explanation:

Table representing the function 'f' is,

x     -3      2       3        7    

y     -2      8      10       18

In this table for every input value of x, there is a different output value.

So the function is one to one function.

Therefore, inverse of the given function will have the table as,

x       -2      8      10       18

y       -3      2       3        7    

Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075

Answers

Gfeedyyhres1234ffhhtfy

Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.

Answers

Answer:

(199+0.32)minus 350

Step-by-step explanation:

199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it

State the domain and range of the relation below.
{(1, -2), (4, 5), (2, -4), (6,5), (2, 2)}
A domain = {1, 2, 4, 6) and range = {-4, -2, 2,5}
B domain = {-4, -2, 2, 5} and range = {1, 2, 4, 6}
c domain = {-2, 1, 2, 4, 5} and range = {-4, 2, 2, 5, 6}
D domain = {-4, 2, 2, 5, 6} and range = {-2, 1, 2, 4,5}
* need help fast *

Answers

Answer:

The answer you are looking for is A.

Step-by-step explanation:

Remember, the domain is a set of working x values or all possible inputs of a function or two variable relationship. The range is a set of working y values or all possible outputs of a function or two variable relationship. A two variable relationship with more than one output for each input will not be a function in general but will be refered to as inverse.

Now given a set of coordinates for this relation, coordinates with x and y values or inputs and outputs are generally cartesian coordinates represented by (x,y). This is so we know the working x value for each y value, also making it easier to graph it on a coordinate plane or visualize it. x = domain (input of a function) , y = range (output of a function).

All you have to do is sort the x and y values you are given from the coordinates.

For instance, (-1,2) and (4,5) : domain of -1 and 4 [the x values], range of 2, and 5 [the y values].

pls help with this problem.

Answers

Answer:

23 is the answer

Step-by-step explanation:

i holed this helped

Answer : -12

a = 4x

plug in the numbers for a and x

3 - 4(-5)

3-15

-12

Hope this helps!!!

Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.

4x+3y≥12

Answers

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

Pls help. question is in the picture above

Answers

Answer:

15 meters

Step-by-step explanation:

Because angle BFD and angle DFC are supplementary (they form a 180 degree angle, as you can see from the fact that they both form a straight line) and angle BFD is 90 degrees, angle DFC must also be 90 degrees. Since it is 90 degrees, you can use the Pythagorean theorem to solve for DF as a part of triangle DFC=> 8^2(x^2)=17^2.

=>64(x^2)=289

subtract 64 from both sides=> x^2=225

take the square root of both sides=> x=15

Since triangles BED and BFD are equal by way of angle-side-angle, we know that all of their corresponding sides and angles are equal, and therefore, DF=DE, so DE=15 meters

PLEASE HELP !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!

Answers

Answer:

I actually can't measure it, but if you will and cmt the measures, I can help you round them!!!

Step-by-step explanation:

Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?

Answers

Answer:I’m pretty sure it’s b (20.8)

Step-by-step explanation:

use the function y=3/2x+3 to complete the table of values

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

Ella wants to buy a new uniform for work that costs $32. Her employer promises to pay 20% of the cost, while Ella must pay the rest. How much money will her employer pay?

Answers

i speak no english 30% eplhgfddtghwhehejwjejejjwjwjwjwjw

Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(

Answers

Answer:

$9.35

Step-by-step explanation:

14.86+25.88+5.76=46.5

55.85-46.5=9.35

Answer:

The rounded number would be nine

Step-by-step explanation:

It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps

HOW DOES THE GRAPH OF F(X) = 4(X - 3)^2 + 1 DIFFER FROM THE GRAPH OF G(X) = 2 (X -3)^2 + 1. please explain so i can understand!! thxx

Answers

Answer:

6732FDX

Step-by-step explanation:

Use calculator

A 2-column table with 4 rows. Column 2 is labeled Hours x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.25, 2.50, 3.75, 5. On a coordinate plane, a line goes through (1, 1.25) and (4, 5).

The models represent a real-world problem. Select the statements that describe the problem. Select all that apply.
The two variables are dollars and hours.
The two variables are 1 and $1.25.
The correct equation is y = 1.25x.
The correct equation is y = 1x.
Melissa charges $1.25 an hour to pet-sit.
Melissa charges $1 more than the number of hours she pet-sits.

Answers

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The table and the given points on the coordinate plane provide information about the relationship between the number of hours of

pet-sitting (x) and the amount of money earned (y) by Melissa, who charges a fixed rate of $1.25 per hour for pet-sitting.

The equation of the line passing through the points (1, 1.25) and (4, 5) can be found by using the slope-intercept form:

y - y_1 = m (x - x_1),

where m is the slope and (x_1, y_1) is a point on the line.

Using the two given points, we have:

m = (y_2 - y_1)/(x_2 - x_1)

= (5 - 1.25)/(4 - 1)

= 1.25

y - 1.25 = 1.25 (x - 1)

y = 1.25x - 0.75

This means that for each additional hour of pet-sitting, Melissa earns an additional $1.25.

Therefore,

The two variables in this problem are dollars and hours

Melissa charges $1.25 per hour to pet-sit.

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Answer:

The two variables are dollars and hours. The correct equation is y = 1.25x. Melissa charges $1.25 an hour to pet-sit.    or 1,3,5

If BC = 3x, CD = 7x, and BD = 10, what is BC?

Answers

Answer:

BC= 3

Step-by-step explanation:

Suppose a line BD is 10 and it has a point C somewhere on the  line. It is given that BC is  3times and CD is 7 times  or algebraically  if we take x as a variable then according to the given information

BC+ CD= BD

3x+ 7x= 10

10x= 10

x= 10/10

x= 1

3x would give 3 (1)= 3

Hence the Line BC = 3

and the line CD= 7

Daryl opens his shop at 8:30 AM and closes it at 7:50 PM. How long is the shop open?

Answers

Answer:

11 hours 20 minutes

Step-by-step explanation:

11 hours and 20 minutes hope this helped(:

Daisy is reading a 47 pg book. She read the first 20 pgs in 6 minutes. How long will it take her to read the entire book?

Answers

Answer:

About 15 minutes

Step-by-step explanation:

It takes her 6 minutes to read 20 pgs. If she reads 20 more pages (which will be 40 now) she will have been reading for 12 minutes. This leaves you with 7 pages left, about 3 or 4 minutes.

Your cellphone bill in august was $61.43,which was $21.75more than your bill in July.Your cell phone bill in July was $13.62 less than your bill in June.what was your cell phone bill in June?

Answers

Answer:

53.3

Step-by-step explanation:

In the first 8 overs the bowling rate of a cricketer is 4.5, In the last two over by giving how much run the bowling rate will be 5? ​

Answers

Answer:

In the last two overs, the bowler gave 14 runs.

Step-by-step explanation:

The bowling rate of 4.5 in the first 8 over means he gave 32.5 runs.

i.e.

Score given in first 8 overs = 4.5 × 8 = 36

Given that the bowling economy 5 at the end of 10 overs means the bowler must have given 10 × 5 = 50 score in the total 10 overs.

so, subtract 36 from 50 to get the score he will be giving in the last two overs.

i.e. score given the last two overs = 50 - 36 = 14

Therefore, in the last two overs, the bowler gave 14 runs.

find the missing side length ​

Answers

Answer:

The length of the missing side is

[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]

Step-by-step explanation:

You could do Pythagorean theorem which is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]

Valentina bought 12 puzzles each with the same number of pieces. The total amount of pieces is 19,200. How many pieces are in each puzzle box?

Answers

Answer: 1600

Step-by-step explanation:

If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.

19200 ÷ 12 = 1600.

In conclusion, 1600 pieces are in each puzzle box.

Hope this helps!

Answer:

1,600 pieces per puzzle

Step-by-step explanation:

19,200/12= 1,600

you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so

solve for x -6x-2≥16

need the answer now so pls hurry
A.x≤ 3

B.x≥3

C.x≥-3

D. x≤-3

Answers

Answer:

D

x is less than or equal to -3

Step-by-step explanation:

I hope I was fast enough ^^

Answer:

D. x≤−3

Step-by-step explanation:

No problem

Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .

Answers

Answer:

y= 3/4x + 6.4

Step-by-step explanation:

If your teacher asks why it's so specific tell them you used desmos <3

what is the solution (x,y) to the system of equations? x=10 3x+5y=20​

Answers

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Simplify 12−3l+5(4−l)

Answers

Answer:

−8+32

Step-by-step explanation:

...................

Please answer!!!! And show work if possible!!!!! ​

Answers

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

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