All categories

3 years ago

Write an equation in point-slope form for the line through the given point with the given slope. (-3,-5); m=-2/5

1 answer:

3 0

The point-slope formula is y-y1=m(x-x1). So you will substitute the numbers into the equation. The answer is y+5=-2/5(x+3).

You might be interested in

Find the equation of the line

wel

The slope is -1/4 and the y intercept it -6

3 0

2 years ago

How to round 65.85 to the nearest tenth

Contact [7]

Ok if the number behind the decimal is 4-0... round down, But if the number is 5-9 round up.

Example:65.85

The number behind the decimal is a 8.. So round this number up to the next availible whole number, which is 66.

7 0

3 years ago

Read 2 more answers

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

Sedbober [7]

Answer:

0.675 m/s

Step-by-step explanation:

Let height of shadow= y,CD=x

Height of man=2 m

Speed of man= $\frac{dx}{dt}=1. 8 m/s$

$\triangle ABD\sim\triangle ECD$

Therefore, $\frac{AB}{EC}=\frac{BD}{CD}$

$\frac{y}{2}=\frac{12}{x}$

$xy=24$

Differentiate w.r.t t

$x\frac{dy}{dt}+y\frac{dx}{dt}=0$

$x\frac{dy}{dt}=-y\frac{dx}{dt}$

$\frac{dy}{dt}=-\frac{y}{x}\frac{dx}{dt}$

When the man is 4 m from the building

Then, we have x=12-4=8 m

$\frac{dx}{dt}=1.8 m/s$

Substitute the values in above equation then, we get

$8y=24$

$y=\frac{24}{8}=3$

Substitute the values then we get

$\frac{dy}{dt}=-\frac{3}{8}\times 1.8=-0.675 m/s$

Hence, the length of his shadow on the building decreasing at the rate 0.675 m/s.

8 0

3 years ago

How many gallons of water could a 5 feet by 2 feet by 2 feet aquarium hold? How much the 150 gallons of water would weigh?

Marianna [84]

Answer:

V = (5 feet) (2 feet) (2 feet) V = 20 cubic feet To convert the volume into gallons, multiply the above answer by 7.48 since there are 7.48 gallons of water in one cubic foot. This will give us an answer of 150 gallons of water.

Step-by-step explanation:

4 0

2 years ago

Which of the following equations have exactly one solution?

Tems11 [23]

Answer:

A, B, & C

Step-by-step explanation:

A: -5x +12 = -12x - 12

+12x +12x

7x + 12 = -12

-12 -12

7x = -24 [Divide both sides by 7 to get x]

x = -24/7

B: −5x + 12 = 5x + 12

-5x -5x

-10x + 12 = 12

-12 -12

-10x = 0 [Divide both sides by -10 to get x]

x = 0

C: −5x + 12 = 5x − 5

-5x -5x

-10x + 12 = -5

-12 -12

-10x = -17 [Divide both sides by -10 to get x]

x = 17 / 10

D: −5x + 12 = −5x − 12

+5x +5x

12 ≠ -12 [The statement is false, so it isn't the correct answer]

8 0

3 years ago