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3 years ago

Find the line with the slope m=½ through point (8,1)

Mathematics

1 answer:

Stels [109]3 years ago

4 0

Answer:

$y=\frac{1}{2}x-3$

Step-by-step explanation:

$y-y_1 =m(x-x_1 )\\
y-1=\frac{1}{2} (x-8)\\y=\frac{1}{2}x-3$

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Solve for y: 3(4y - 1) = 2(5y + ).<br> The solution is y =<br> The solution is

timofeeve [1]

Answer:

12y-3=2(5y+1/2)

12y-3=10y+1

12y-10y-3=1

12y-10y=1+3

2y=1+3

2y=4

y=2

Step-by-step explanation:

8 0

4 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

Surface area decreases at a rate of 3 cm2/min

This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

$-3 = 2*9\pi\frac{dd}{dt}$

$\frac{dd}{dt} = -\frac{3}{18\pi}$

$\frac{dd}{dt} = -0.053$

The diameter decreases at a rate of 0.053 cm/min.

7 0

3 years ago

What is the slope Intercept form of 8x-2y=-72

Anarel [89]

Answer:

y = 4x + 36

Step-by-step explanation:

To find the equation in slope-intercept form, rearrange to <u>isolate "y"</u>.

Slope-intercept form is y = mx + b. The variables mean:

"x" and "y" - points that are on the line, or solutions.

"m" - the slope, how steep the line is

"b" - the y-intercept, when the line touches the y-axis

Isolate "y".

8x - 2y = -72

8x - 8x - 2y = -72 - 8x Subtract 8x from both sides.

-2y = -72 - 8x Left side : 8x - 8x = 0

$\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x$ Divide both sides by -2

y = 36 - (-4)x Simplify the fractions

y = 36 + 4x Remember two negatives make a positive, add 4x.

y = 4x + 36 Put "4x" in front of 36. It looks like y = mx + b now.

"m" would be 4.

"b" would be 36.

7 0

3 years ago

A 2.0 kg pendulum swings from point A of height YA

Vedmedyk [2.9K]

Answer: =0.39 J

Step-by-step explanation:

6 0

3 years ago

What is the mean deviation of 4, 3, 4, 5, 6, 6, 8, 4?

MrRa [10]

Calculate mean:
4+3+4+5+6+6+8+4=40
40/8=5

Calculate MAD:
1+2+1+0+1+1+3+1=10
10/8= 1.25

Final answer: 1.25

5 0

4 years ago

Read 2 more answers

Find the line with the slope m=½ through point (8,1)​

Find the line with the slope m=½ through point (8,1)