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3 years ago

What is the equation in point-slope form for the line parallel to y=3x-3 that contains P(-4,7)?

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

The answer t oyur question is: (y -7) = 3(x + 4)

Step-by-step explanation:

Data

Equation point-slope

Line parallel = y = 3x - 3

P (-4, 7)

As the lines are parallels, they have the same slope

slope = 3

Equation slope - point

(y - y1) = m(x - x1)

Substitution (y -7) = 3(x + 4)

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Answer:

x= 2/7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7/3x 3/7=2/3(3/7)

so 2/7

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3 years ago

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2 years ago

A right circular cylinder has a height of 22 1/4 ft and a diameter 2 2/5 times its height. What is the volume of the cylinder? E

Triss [41]

Answer:

The volume of cylinder is:

49806.06 ft^3

Step-by-step explanation:

We are given a right circular cylinder with:

Height(h)= $22\frac{1}{4}ft=\dfrac{89}{4}ft$

and a diameter is $2\frac{2}{5}$ times it's height.

i.e. $\dfrac{12}{5}$ times it height.

i.e. the diameter is given as:

$\dfrac{12}{5}\times \dfrac{89}{4}=\dfrac{267}{5}ft.$

We know that the radius of cylinder is half the diameter.

Hence, radius(r) of cylinder is:

$\dfrac{1}{2}\times \dfrac{267}{5}\\\\=\dfrac{267}{10}$

The volume(V) of cylinder is given by:

$V=\pi r^2h$

$V=3.14\times (\dfrac{267}{10})^2\times \dfrac{89}{4}\\\\V=\dfrac{19922423.94}{400}\\\\V=49806.06ft^3$

Hence, the volume of cylinder is:

49806.06 ft^3

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3 years ago

Given f(x)=x-7 and h(x)=2x+3 what is the rule for h(f(x))

Paul [167]

Answer:

h(f(x)) = 2x - 11

Step-by-step explanation:

To evaluate h(f(x)) substitute x = f(x) into h(x)

h(x - 7)

= 2(x - 7) + 3

= 2x - 14 + 3

= 2x - 11

6 0

3 years ago