All categories

2 years ago

The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r.

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

5 0

The value of r is -24

Step-by-step explanation:

Given points are:

(1,r) and (5,-4)

Let the points be:

(x1,y1) = (1,r)

(x2,y2) = (5,-4)

m = 5

The slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}\\5 = \frac{-4-r}{5-1}\\5 = \frac{-4-r}{4}\\5 * 4 = -4-r\\20 = -4-r\\20+4 = -4-r+4\\24 = -r\\r = -24$

Hence,

The value of r is -24

Keywords: Slope, coordinates

Learn more about slope at:

#LearnwithBrainly

You might be interested in

The radius of a sphere decreases at a rate of 6 m/sec. find the rate at which the surface area decreases when the radius is 20 m

DanielleElmas [232]

The radius of the sphere decreases at the rate of 6 m/ sec

That is, $\frac{dr}{dt}=-6$

Surface Area of the sphere of radius r is given by $S=4\pi r^2$

Differentiating with respect to t,

$\frac{dS}{dt}=4\pi (2r)\frac{dr}{dt}=8\pi r\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi (20)^2(-6)=-960\pi \: m^2/sec$

8 0

3 years ago

The numbers below show a pattern 0.006 0.6 6

Ivenika [448]

Answer:

Yes

Step-by-step explanation:

The decimal points moves to the right at a constant pace.

0.006 -> 0.06 -> 0.6 -> 6

In other words, we are just multiplying each one by 10 to get the next value.

Best of Luck!

7 0

3 years ago

( 3.6 +0.4 ) + 0.25 =

gtnhenbr [62]

Answer:

Step-by-step explanation:

Simplify 3 ratical- 1000

8 0

2 years ago

Find the solutions to the equation below. check all that apply

BartSMP [9]

Answer:

A and E

Step-by-step explanation:

Given

20x² - 26x + 8 = 0 ( divide through by 2 )

10x² - 13x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 10 × 4 = 40 and sum = - 13

The factors are - 5 and - 8

Use these factors to split the x- term

10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )

5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(5x - 4) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = $\frac{1}{2}$ → E

5x - 4 = 0 ⇒ 5x = 4 ⇒ x = $\frac{4}{5}$ → A

6 0

2 years ago

If ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is {(1, 5),(2, 6),(3, 7),(1, 8),(7, 9)} {1, 2, 3, 7} {5, 6, 7, 8,

julsineya [31]

You need to just rewrite this

6 0

2 years ago

The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r. ​

The points(1,r) and (5,-4) lie on a line with slope 5. find the missing coordinate r.