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3 years ago

What is an equation of the line that passes through the point (1,−7) and is parallel to the line 3x+y=3

Mathematics

1 answer:

levacccp [35]3 years ago

6 0

If I’m not wrong, I got y=-3x-4

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fomenos

Answer:

150 cm squared

Step-by-step explanation:

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3 years ago

What decimal number is about equal to 1/6?

baherus [9]

Answer:

Step-by-step explanation: 0.16

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2 years ago

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Using Cavalieri's Principle, what is the general formula for the volume of a cone?

Anit [1.1K]

Answer:

The volume for a cone and pyramid are the same, V = 1/3 Bh where B is the area of the base.

Step-by-step explanation:

So even though the base is a different shape, as long as the areas and heights are the same, they will have the same volume.

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3 years ago

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Butoxors [25]

Answer:

6 % is the answer

Step-by-step explanation:

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6.50+0.39=6.89

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3 years ago

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