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Murljashka [212]

3 years ago

7

which of the following is a correct equation for the line passing through the point -3,2 and having a slope m=2/3 check all that

apply

2 answers:

arlik [135]3 years ago

7 0

Answer:

2x-3y = =12

y= 2/3x + 4

y-2 = 2/3 (x+3)

Step-by-step explanation:

Sveta_85 [38]3 years ago

3 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))

Since you know m = 2/3, plug it into the equation

y = 2/3x + b

To find "b", plug in the point into the equation (-3,2)

y = 2/3x + b

2 = 2/3(-3) + b

2 = -2 + b

4 = b

y = 2/3x + 4

Point-slope form:

y - y₁ = m(x - x₁)

You know:

m = 2/3

(x₁ , y₁) = (-3,2)

Plug this into the equation:

y - y₁ = m(x - x₁)

y - 2 = 2/3(x - (-3))

y - 2 = 2/3(x + 3)

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jolli1 [7]

Try it with some random number, like a=3.

Is "3+0 = 0+3 = 0" true? No.

If you were doing multiplication, then it would be true, but not with addition.

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3 years ago

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oksian1 [2.3K]

Answer:

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Step-by-step explanation:

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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Help pls.!! 247 heart beats in 6 1/2 minutes

Likurg_2 [28]

Answer: 60

Step-by-step explanation:

6 0

3 years ago

Please help me with this

yan [13]

ANSWER: 127

The shape has 5 sides so it’s inner angles add to 540°.
from this you can add up the angles shown on the diagram and subtract this from 540
the answer this gives you is 127 :)

6 0

3 years ago

Read 2 more answers