Find the value of r so the line that passes through each pair of points has the given slope.
(1, r), (7, 5), m = 2/3

Answers

Answer 1

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

[tex]\frac{5-r}{6}=\frac{2}{3}[/tex]

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

[tex]5 - r = 4[/tex]

subtract 5 from both sides

[tex]-r=-1[/tex]

multiply both sides by -1

[tex]r=1[/tex]


Related Questions

What is 789 divided by 3

Answers

It would be 263 :) ur welcome

h(x)=-7x-11 when x=7

Answers

Answer:

-60

Step-by-step explanation:

h(x)=-7x-11

h(7)=-7(7)-11

h(7)=-49-11

h(7)=-60

Answer:

-60

Step-by-step explanation:

-7x7= -49

-49-11= -60

1. The amount paid for different weights of oranges at a farmer’s market are shown below. Oranges (lb) Price ($) 2 3 3 4.50 5 7.50 ? 12 (a) Is the relationship between the price and the weight of the oranges proportional? Use the first three rows of data to answer this question. Show your work and explain. How many pounds of oranges cost $12? Show your work.


due today.

Answers

Answer:

Relationship is proportional ;

8 oranges

Step-by-step explanation:

Oranges (lb) 2 ___ 3 ____5 ___?

Price ($) __ 3 ___4.50___7.50_12

For proportionality :

Oranges = k * price

Where, k = constant of proportionality

2 = 3k

k = 2 /3

k = 0.666666

Using k :

Number of oranges at price = 4.50 should be:

0.66666 * 4.50 = 3

Number of oranges at price = 7.50 should be:

0.66666 * 7.50 = 5

Hence, relationship is proportional

Number of oranges at $12

0.66666 * 12 = 8

In math the "Base" is defined as

Answers

In math Base is Defined as the number of digits or combination of digits that a system of counting numbers used to represent numbers a base can be any whole number greater than 0

A clothing store manager uses a 12 percent markup on the merchandise. At what price will he sell pants that were purchased for $40?

Answers

Answer:

$44.80

Step-by-step explanation:

How many packs of batteries can you buy with $39.78 if one pack costs $6.63?

Answers

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

What is the proportion of 36 / x equals 8/7

Answers

Answer:

Step-by-step explanation:

Multiply all terms by the same value to eliminate fraction denominators

36/x=8/7

x times 36/x=x times 8/7

Cancel multiplied terms that are in the denominator

cancel both x’s for you should have 36=x times 8/7

Combine multiplied terms into a single fraction

36=8x/7

Multiply all terms by the same value to eliminate fraction denominators

36=8x/7 so you multiply 7 times 36=7 times 8x/7

so you simplify so you get 252=8x

then you Divide both sides of the equation by the same term

252=8x     252/8=8x/8 so you get 63/2

so your final answer is x=63/2

I hope that I helped you have a nice day or night!

Please and Thank You ​

Answers

I think it’s A, 0 x 2 = 0 4 x 2 = 8, 0 + 5 = 5, 5, 8

HELPPPPPPPPPPP , witch should I pick .

Answers

Answer:
A

Explanation: horizontal line is 180 degrees, and the square means 90 degrees. So adding up the angles z + 90 + z =180

find the value of the expression ​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Arithmetic Operation.

====> 5(3+6) + 5*3/ 5(4-1)

=====> 5(9) + 15 / 5(3)

=====> 45+15 / 15

=====> 60/15

======> 4

answer is 4

Pls help Ill give brainiest or whatever

Answers

Answer:

2.5 hours

Step-by-step explanation:

it takes him 2.5 hours

Answer:

The time is 2.5 hours.

Step-by-step explanation:

7.5/3=2.5

hope this helps!

What is 1/3 written as a decimal?

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

0.33333. it goes on forever.

What is the perimeter of the triangle?

Answers

Answer:

The answer is 36

Step-by-step explanation:

First, suppose that each square is the unit length, and from it the length of the hall can be calculated and we find that it is equal to 10, then to find the value of the other two we drop a column of the vertex of the triangle on the base and find that its length is 12 units and it divides the base into two equal halves, so we determine that each side equals 13 units using Pythagoras and it will be The lengths of the sides of the triangle are 10, 13, 13

Then the perimeter is

[tex]10 + 13 + 13 = 36[/tex]

y = 5х – 7
—3х – 2 y = -12

Answers

[tex]-3x-2(5x-7)=-12\\-3x-10x+14=-12\\-13x=-26\\x=2\\\\y=5(2)-7\\y=10-7\\y=3[/tex]

Answer:

[tex](x, y) = (-\frac{29}{2}, -12)[/tex]

Step-by-step explanation:

[tex]-12 = 5 x ( -\frac{29}{2} ) - 7 - 3 x ( -\frac{29}{2} ) - 2 x (-12) = -12[/tex]

-2x<10 someone PLEASEE

Answers

Answer:

Step-by-step explanation:

-2x < 10

divide both sides by -2

x > -5

note that the direction of the inequality changes

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in feet?

Answers

Answer:

9240 feet

Step-by-step explanation:

Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.

Step 1

The total distance Petrov ran in miles is calculated as:

1 lap = 1/4 mile

7 laps = x mile

Cross Multiply

x = 7 × 1/4 mile

x = 1.75 miles

Step 2

What is the total distance Petrov ran in feet?

1 mile = 5280 feet

1.75 miles = x

Cross Multiply

x = 1.75 × 5280 feet

x = 9240 feet

Therefore, the total distance Petrov ran in feet is 9240 feet

This is sooooo confusing........................................

Answers

Answer:

i dont know :(

Step-by-step explanation:

i dont know :(

1. Yes 2. No 3. No 4. Yes

What is the opposite of 17

Answers

Answer:

-17

Step-by-step explanation:

"the opposite of 17 is -17. You can figure this out by finding the negative version of 17, or the additive inverse of 17. Opposites, when added together, create a sum of 0."

Answer:

-17?

Step-by-step explanation:

Hope this is useful!

Have a nice day!

What is the range of the function graphed below?

Answers

Answer:

um function

Step-by-step explanation:

3rd

bubble

?

n is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest​

Answers

Answer:

- 4, - 3, - 2, - 1, 0

Step-by-step explanation:

Given

- 2 < n + 3 < 4 ( subtract 3 from each interval )

- 5 < n < 1

This indicates that n ≠ - 5, 1 but all values in between, that is

n = - 4, - 3, - 2, - 1, 0 ← possible values of n

the coefficient of 't' in (2t-5)^3 is​

Answers

Answer:

8

Step-by-step explanation:

2^3 will be coefficient so 8


The temperature was -2°F in the afternoon and is now -30°F. How many degrees did it drop?

Answers

Answer:

28°

Step-by-step explanation:

Let's take 'x' as the number of how much degrees it dropped. So this is how the equation will look like:

-2 - x = -30

It is '-x' since the temperature 'decreased', so you must a subtract.

Take -30 to the other side and substitute it with '-x'. Since both the terms are shifted, -30 will be +30 and -x will be +x (which is equivalent to x).

x = -2 + 30

x = 28°

∴ There was a 28° drop.

The sum of the digits of a certain two digit nuber is 12. when you reverse its digits you increase the number by 18.find the number​

Answers

6+6=12
12+6 =18

Hope this helps!
Leave a like and brainliest

12. A circle has a center at C(2,5) and a point on the circle has coordinates A(8, 13). Could the point B lie on
the same circle if lies at B(9.1)? Justify.

Answers

Answer:

No.

Step-by-step explanation:

A circle is defined as a figure in which all points are equidistant from the center, or C.  In order to determine how far points A and B are from the center, we must first find the difference in positioning from (2,5) to each point and then use Pythagorean Theorem to calculate the length of the hypotenuse.  Point A establishes that the radius of the circle must be 10 units, and Point Bis only about 8 units away.

Ali and billy ran around a race track. How many more metres did Ali ran than billy in one lap? (Find perimeter)

Answers

Answer:

Ali ran 25.13 m more than bily

Step-by-step explanation:

From the diagram, we can see that bully runs with the inner track line while Ali runs with the outer track line.

Thus;

Diameter of inner semi circle = 20 m

Diameter of outer semi circle = 20 + 4 + 4 = 28 m

Perimeter of inner semi circle = πD/2 = 10π

Perimeter of outer semi circle = πD/2 = 14π

Now, perimeter of Billy = 80 + 80 + 10π + 10π = 222.83 m

Perimeter of Ali = 80 + 80 + 14π + 14π = 247.96 m

Thus, in one lap, difference in distance between Ali and billy = 247.96 - 222.83 = 25.13 m

Solve the inequality 7(+2) -5 > 3(x - 1).


Answers

Answer:

x∠4

Step-by-step explanation:

Answer:x is less than 4

Step-by-step explanation:

What terms of this expression -3x + 2y - 6 +13x - 6y


helppppp​

Answers

Answer:

10x-4y-6

Step-by-step explanation:

-3x+2y-6+13x-6y

-3x+13x+2y-6y-6

10x-4y-6

PLS HURRY TY WILL GIVE BRAINLIEST

Answers

Answer:

i'm pretty sure its c

Step-by-step explanation:

have a great day!!

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Step-by-step explanation:

-12 - 12x = 36 please help me with this problem due today.​

Answers

Answer:

x = -4

Step-by-step explanation:

-12 -12x = 36

add 12 to each side of the equation

-12x = 48

divide both sides by -12

x = -4

8
Express sin A, cos A, and tan A as ratios.
12
613

Answers

Answer:

see explanation

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6\sqrt{3} }{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex]

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

tanA = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{6\sqrt{3} }{6}[/tex] = [tex]\sqrt{3}[/tex]

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