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2 years ago

What is the equation of the line that goes through the points (- 2, 1) and (0, 4) ? (Write your answer in standard form .)

Mathematics

1 answer:

tekilochka [14]2 years ago

5 0

Answer:

$3x-2y+8=0$

Step-by-step explanation:

The slope of the line that goes through the points (-2, 1) and (0, 4) is

$\frac{4-1}{0-(-2)} = \frac{3}{2}$

The slope of the line that goes through the points (x, y) and (0, 4) is

$\frac{4-y}{0-x} = \frac{4-y}{-x}$

So $\frac{3}{2}=\frac{4-y}{-x}\\-3x=2(4-y)=8-2y\\3x-2y+8=0$

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Someone help me please!!!

NikAS [45]

- a • [- b] = c

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[- c] / - b = a

[- c] / [b] = - a

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3 years ago

What is the slope of the line graphed on the coordinate plane?

julia-pushkina [17]

Rise ÷ Run = 8/1 = 8

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3 years ago

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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r

san4es73 [151]

The volume of the balloon is $2352\pi cc/min$

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula $V=\frac{4}{3} \pi r^3$

The rate of change of r with respect to time t is given by,

$\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$

Now, we shall determine the $\frac{d}{d t}(V)$

$\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}$

Now, we shall determine the $\frac{d}{d t}(V)$ at $r=14 \mathrm{cm}$ and substituting $\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}$ , we get,

$\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}$

Thus, The volume of the balloon is $2352\pi cc/min$

7 0

3 years ago

If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))

grandymaker [24]

Answer:

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

The given functions are:

$f(x)=4x+3$

$g(x)=x^2-3$

It's required to find f( g( 2 ) )

Find g(2):

$g(2)=2^2-3$

Operating:

$g(2)=4-3 =1$

g(2)=1

Now find f(1):

$f(1)=4(1)+3$

$f(1)=4+3 =7$

Thus:

f( g( 2 ) )=7

4 0

3 years ago

A restaurant buys 56 pounds of beef at $1.12/pound and 24 quarts of milk at $.90/quart. How much money was spent?

Gre4nikov [31]

Answer:

84.80

Step-by-step explanation: 62.72+22.08=84.80

3 0

3 years ago

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