What is 540 divided by 100?

What is the slope of the line that passes through the points (-10,5) and (3,4)

steposvetlana [31]

Answer:

-1 / 13

Step-by-step explanation:

(x 1,y1) = (-10,5)

(x2, y2) = (3,4)

y2 - y1 / x2 - x1

8 0

3 years ago

Read 2 more answers

Calculate pt3 such that a line from pt1 to pt3 is perpendicular to the line from pt1 to pt2, and the distance between pt1 and pt

Leni [432]

Let the point_1 = p₁ = (1,4)
and      point_2 = p₂ = (-2,1)
and      Point_3 = p₃ = (x,y)

The line from point_1 to point_2 is L₁ and has slope = m₁
The line from point_1 to point_3 is L₂ and has slope = m₂
m₁ = Δy/Δx = (1-4)/(-2-1) = 1
m₂ = Δy/Δx = (y-4)/(x-1)
L₁⊥L₂ ⇒⇒⇒⇒ m₁ * m₂ = -1
∴ (y-4)/(x-1) = -1 ⇒⇒⇒ (y-4)= -(x-1)
(y-4) = (1-x) ⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒⇒ equation (1)

The distance from point_1 to point_2 is d₁
The distance from point_1 to point_3 is d₂
d = $\sqrt{Δx^2+Δy^2}$
d₁ = $\sqrt{(-2-1)^2+(1-4)^2}$
d₂ = $\sqrt{(x-1)^2+(y-4)^2}$
d₁ = d₂
∴ $\sqrt{(-2-1)^2+(1-4)^2} = \sqrt{(x-1)^2+(y-4)^2}$ ⇒⇒ eliminating the root
∴(-2-1)²+(1-4)² = (x-1)²+(y-4)²
(x-1)²+(y-4)² = 18
from equatoin (1) y-4 = 1-x
∴(x-1)²+(1-x)² = 18            ⇒⇒⇒⇒⇒ note: (1-x)² = (x-1)²
2 (x-1)² = 18
(x-1)² = 9
x-1 = $\pm \sqrt{9} = \pm 3$
∴ x = 4 or x = -2
∴ y = 1 or y = 7

Point_3 = (4,1) or (-2,7)

8 0

4 years ago

Please help me somebody! <3

Misha Larkins [42]

I believe it would be -17m-4/8

8 0

3 years ago

Read 2 more answers

What point on the graph of y = 0.5f(x) corresponds to (4, 16)? Explain.

SVETLANKA909090 [29]

We are given a coordinate (4,16).

Where first coordinate is the value of x and second coordinate is the value of y for the function y=f(x).

We need to find the value of given point (4,16) for function y= 0.5f(x).

Here function f(x) is being multiplied by 0.5.

On multiplying 0.5 by y, it will effect the value of y only. It does not effect value of x . Because x value is still x. Only function f(x) is being multiplied by 0.5.

Therefore, y= 0.5f(4) = 0.5 * 16 = 8.

So, (4,8) is the point on the graph of y = 0.5f(x) corresponds to (4, 16).

4 0

3 years ago

A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by –3.75 gallons in one hour. What is th

IRINA_888 [86]

Change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

<h3><u>Solution:</u></h3>

Given that

A clogged bathtub drains at a constant rate.

The amount of water in the bathtub changes by –3.75 gallons in one hour.

Need to determine change in the amount of water in the bathtub after 13 hour.

Change in amount of water in bathtub in one hour = -3.75 gallons

As given that clogged bathtub drains at a constant rate, so

Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours

=> Change in amount of water in bathtub in 13 hours = 13 x ( -3.75 ) = -48.75 gallons

Hence change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

4 0

3 years ago