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

A bag contains 4 blue marbles, 10 green marbles, and 11 yellow marbles. Twice you draw a marble and replace it. Find P(yellow, then blue).

Answers

Answer: green

Step-by-step explanation: 2 + 2 = 5

pls help me with this multiple choice !

Answers

Answer:

First option is the correct answer

[tex]m= 14 \sqrt 2, \: n = 14[/tex]

Step-by-step explanation:

Hope it helps you in your learning process.

Given is a 45°-45°-90° triangle.

Measure of sides n and 14 are opposite to 45° degree angles.

Therefore, they are equal.

So, n = 14

[tex] 14 = \frac{1}{\sqrt 2}\times m[/tex]

[tex] 14 \sqrt 2=m[/tex]

Marie said that the equivalent decimal amount for 7/12 is 0.583. Is she correct yes or no?​

Answers

Answer:

Yes she is correct

Step-by-step explanation:

can some1 pls answer this pls pls​

Answers

Answer:

Step-by-step explanation:

A 7m wide path is to be constructed all around and outside a circular park of diameter
56m.find the area of the path

Answers

Answer:

392m^2

Step-by-step explanation:

as the length = diameter of the circular park

then

Area = length * width = 56 * 7 = 392m^2

Answer:

your answer is in this attachment

Step-by-step explanation:

hope it's helpful to you

have a great day ahead buddy

If anybody answers these questions I will get them brainliest and if somebody else verifies that it is the correct answer I can give you a thanks.

Answers

Part (a)

Answer: x^3 + 12x^2 + 47x + 60

--------------------------

Work Shown:

Let's say we have

L = length = x+5W = width = x+4H = height = x+3

To find the volume of the block, we multiply the length width and height.

So,

volume = (length)*(width)*(height)

V = L*W*H

V = LW*(x+3) .... replace H with (x+3)

V = LW*x + LW*3 .... distribute

V = Lx*(W) + 3L*(W)

V = Lx(x+4) + 3L(x+4) .... replace W with x+4

V = Lx^2 + 4Lx + 3Lx + 12L .... distribute

V = Lx^2 + 7Lx + 12L

V = x^2*(L) + 7x*(L) + 12*(L)

V = x^2*(x+5) + 7x*(x+5) + 12*(x+5) .... replace L with x+5

V = x^3 + 5x^2 + 7x^2 + 35x + 12x + 60 .... distribute

V = x^3 + 12x^2 + 47x + 60

x^3 + 12x^2 + 47x + 60 is the polynomial in standard form that represents the volume of the block.

=======================================================

Part (b)

Answer: 336 cubic feet

--------------------------

Work Shown:

We can plug x = 3 into the polynomial we found

V = x^3 + 12x^2 + 47x + 60

V = (3)^3 + 12(3)^2 + 47(3) + 60

V = 27 + 12(9) + 47(3) + 60

V = 27 + 108 + 141 + 60

V = 336

Or we could find the volume like this

V = L*W*H

V = (x+5)*(x+4)*(x+3)

V = (3+5)*(3+4)*(3+3)

V = (8)*(7)*(6)

V = 336

Either way, we get the same volume of 336 cubic feet.

the list shows 8 of talishas maths quiz scores.

70, 81, 82, 82, 82, 89, 94, 100


what is the mean absolute deviation of her quiz scores?

Answers

Answer: 85

Yupyupyupypu

the bearing of a plane from an air port is 65 calculate the bearing of the airport from the plane

Answers

Answer:

245°

Step-by-step explanation:

the bearing is 180° + 65° = 245°

HOPE THIS HELPS

The perimeter of a rectangular court is 224 feet. The length is 4 feet more than the width. Write and solve an equation to find the dimension of the court.​

Answers

P=224ft
l=4ft+w
P=2l + 2w
224=2(4+w) + 2w
224=8+2w+2w
224=8+4w
224-8=4w
216=4w
w=216/4
w=54ft

l=4ft+54ft
l=58ft

-g + 2(3+g) = -4(g+1)

Answers

Answer:

g= -2

Step-by-step explanation:

Answer:

g=−2

Step-by-step explanation:

regroup: 2(3+g)−g=−4(g+1)

expand: 6+2g−g=−4g−4

simplify: 6+g=−4g−4

add 4 to both sides: 6+g+4g=−4

simplify again: 6+5g=−4

5g=−10

divide 5

g=-2

the gradient of the line y = 4 -2x ​

Answers

Answer:

-2

Step-by-step explanation:

the slope-intercept form

-2
slope intercept form

help , thanks for your help , a farm grew 19.8 tons of wheat in 2013 . The farm's wheat output increased by 9.8% from 2014 and by 5.1% from 2015 , which expression represents a strategy bfor estimating the total output of wheat , in tons in 2015? ​

Answers

Answer:

Step-by-step explanation:

D is a rough estimate because the actual output would be

9.8(1.098)(1.051)

Given the equation 4(3n-7) = -19, what is the first step you could use to solve for n?​

Answers

Answer:

3/4

Step-by-step explanation:

4(3n-7)=-19

3n-7=-19/4

3n=-19/4+7

3n=-19/4+28/4

3n=9/4

n=(9/4)/3

n=(9/4)(1/3)

n=9/12

simplify

n=3/4

Answer:

3/4

You would have to divide both sides by 4

Step-by-step explanation:

[tex]\frac{4(3n-7)}{4} =\frac{-19}{4}[/tex] ( divide both sides by 4 )

[tex]3n-7= -\frac{19}{4}[/tex]  ( simplify )

[tex]3n-7+7=-\frac{19}{4} +7[/tex] ( add 7 to both sides )

[tex]3n=\frac{9}{4}[/tex]  ( simplify )

[tex]\frac{3n}{3} =\frac{\frac{9}{4} }{3}[/tex]  ( divide both sides by 3 )

[tex]n=\frac{3}{4}[/tex]

Write the equation in vertex farm
x2 - 8x + 10 = 0

Answers

Answer:

 

x = 4 + √ 6 , 4 − √ 6 hope this is correct-

How long is each side of the square?



PLEASE GIVE ANSWER I WILL GIVE BRAINLIEST

Answers

Answer:

3 inches

Step-by-step explanation:

It is 3 inches as seen in the square boxes within the big square

3 Inches like they said!

HEEEEEEELPPPPP? What is the equation of the line in y=mx+b format?

Answers

Answer:

y = 2x+2

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

Find the y-intercept first, then, from that point, go tide over run to find your slope. This line has a positive slope, so count up two and over one (2/1). After that, input what data you've collected into your equation (y = mx + b) and you'll have your answer.

if x-y=9,x²+y²=27,then xy=?​

Answers

Answer:

xy = - 27

Step-by-step explanation:

Note that

(x - y)² = x² - 2xy + y² ← substitute given values, that is

9² = 27 - 2xy

81 = 27 - 2xy ( subtract 27 from both sides )

54 = - 2xy (divide both sides by - 2 )

- 27 = xy

Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49​

Answers

Answer:

7/4

Step-by-step explanation:

Answer:

The Answer would be 7/4 as an Improper fraction

Step-by-step explanation:

Write the following number in exponential from. 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2​

Answers

Answer:

2^8

Step-by-step explanation:

А. 3х – 1 = 7
В.
3x = 8

Answers

hi! what’s the question? i believe you only put two answers

Which function has a greater constant rate of change explain. Function A y=10x-3 or function B x 1 2 3 4 5 and y are 20 15 10 5 0

Answers

Answer:

The function B has greater constant

Step-by-step explanation:

[tex]m(b) = \frac{20 - 15}{1 - 2} = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 \times 1 = c \\ c = 25[/tex]

Annie said that she simplified the expression 6.5(x+0.5x+1) by writing the equivalent expression 6.5x+3.25x+6.5.

Answers

Answer: No although the expressions are equivalent by the distribute property, it is not in simplest form because when we combine 6.5x and 3.25x as they are like terms the simplified expression is 9.75x + 6.5

Step-by-step explanation: hope this helps

Helpppppp!!!!!!!!!!!

Answers

Answer:

just do pythagorean theorem  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

This is a Pythagorean Problem

Formula

a^2 + b^2 = c^2

a = 5

b = ?

c = 9

Solution

5^2 + b^2 = 9^2             Expand the givens

25 + b^2 = 81                  Subtract 25 from both sides

25-25+b^2 = 81- 25

b^2 = 56

√b^2 = √56

b = √8*7

b = √2*2*2*7

b = 2 √2*7

b = 2 √14

For every 2 prime factor under the square root sign, 1 of them can be taken out from under the root and the other is thrown away.

Which of the following is a pair of events which are dependent on one another?
a. observing rainfall in two different cities
b. drawing a pair of cards from a deck
c. putting on a pair of pants and a shirt without looking at them
d. rolling two dice with the same number of sides

Answers

Answer:

I think it's B

Step-by-step explanation:

because you won't draw the same card twice because you took that card out of the running

hope this helps sorry if I'm wrong

Putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

What is Probability?

Probability is a branch of mathematics which deals with the occurrence of a random event.

Drawing a certain card from a deck probability depends on whether or not another card has been drawn previously, as  it changes the number of cards remaining in the deck and the likelihood of drawing a certain card.

Drawing a pair of cards from a deck is the  pair of events which are dependent on one another.

Hence, putting on a pair of pants and a shirt without looking at them are pair of events which are dependent on one another

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ6

The semi-circle has a diameter of 8. What is the perimeter of the semi-circle?​

Answers

Answer:

roughly 12.56 units

Step-by-step explanation:

Since the perimeter of a circle is 2*pi*r, we can divide it by two or multiply by half in order to find the perimeter of a semicircle

half of the diameter is the radius, so 8/2 =4, r=4

Plug in what we know...

C=2*pi*4

Solve

2*3.14*4

25.12

divide by 2

25.12/2=12.56

12.56 units is the perimeter

Answer:

Approx. 20.566 units

Step-by-step explanation:

Find the circumference of the whole circle first by doing:

C = 2πr

r = 4 (8 divided by 2)

C ≈ 25.133

Then divide that by two because a semi-circle is half a circle:

12.566

Then add 8 (diameter) to that number for the open side.

Hope this helps :)

Write down the inequality described by five is greater than the result of taking six away from x", and solve for x.

Answers

Answer:

x < 11

Step-by-step explanation:

Taking the problem piece by piece;

five is greater than

5 >

the result of taking six away from x

x - 6

Solve for x;

5 > x - 6

5 + 6 > x

11 > x

x < 11

can anyone tell me the answer for b

Answers

Answer:

88....................

Answer:

88 people

Hope it helps!!!!

Please help, I just need this and I’m done and I can go play Xbox

Answers

Step-by-step explanation:

The top answer is x and the bottom answer is 14.

HELP i’m having a hard time doing this, please

Answers

Answer:

<2 <4 <5

Step-by-step explanation:

When two lines are parallel and crossed by a transversal, the opposite interior angles are congruent.

2/5 times 6 enter the product in simplest form.

Answers

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

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