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3 years ago

Slope-intercept form of the equation of the line that is perpendicular to -2x + 3y = 10 and contains P(10,-10)

1 answer:

8 0

Slope intercept: y = mx + b
3y = 2x + 10
Y = 2/3x + 10/3
Perpendicular = opposite sign and reciprocal slope
Y = -3/2x + b
-10 = -3/2(10) + b
-10 = -15 + b, b = 5
Equation: y = -3/2x + 5

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two trucks leave a factory at the same time. one travels east 60 miles per hour, and the other travels west at the 39 miles per

Dahasolnce [82]

Answer:

Both trucks are 150 miles after 1.516 hours

Solution:

Given, Two trucks leave a factory at the same time.

one travels east 60 miles per hour, and the other travels west at the 39 miles per hour.

We have to find In how many hours will they be 150 miles apart?

Let the time after which they will be 150 miles apart be t.

Now, we know that, distance = speed x time. 

For 1st truck ⇒ distance from factory = 60 x t

For 2nd truck ⇒ distance from factory = 39 x t

Here, t is same for both trucks as time is seen from common point of view.

Now, according to the given information,

distance of 1st truck from factory + distance of 2nd truck from factory = 150 miles.

60t + 39t = 150

99t = 150

t = 1.516 approximately.

Hence, both trucks are 150 miles after 1.516 hours.

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Advocard [28]

Answer: Answer is below (decimal form is 3.3)

Step-by-step explanation: Explanation is below.

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3 years ago

Find the area of the following circle.

djyliett [7]

A = pi r^2
A = 3.14 x (5.5)^2
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answer
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4 years ago

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What is the slope-intercept equation of the line below?

Kay [80]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 1, 1)

m = $\frac{1+1}{-1-0}$ = $\frac{2}{-1}$ = - 2

Note the line crosses the y- axis at (0, - 1) ⇒ c = - 1

y = - 2x - 1 → C

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3 years ago

Amiraneli [1.4K]

3x+x=96

(4x=96)/4

x=24

3(24)=72

Hector is 24 and his grandma is 72.

hope this helps!

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