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Artyom0805 [142]
3 years ago
12

Create an equation for a line that contains 3 the point (2, 2) and has slope m = 2

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

y=2x-2

Step-by-step explanation:

We already know the slope so now we need to find the y-intercept.

See attached file.

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The radius of a cone is decreasing at a constant rate of 7 inches per second, and the volume is decreasing at a rate of 948 cubi
nadezda [96]

Answer:

Step-by-step explanation:

We have volume of cone as

V=\frac{1}{3} \pi r^2 h

and for a cone always r/h = constant

Given that r' = rate of change of radius = -7 inches/sec

(Negative sign because decresing)

V' =- 948 in^3/sec

Radius = 99 inches and volume = 525 inches

Height at this instant = \frac{525}{\frac{1}{3} \pi (99)^2} \\=\frac{0.1607}{\pi}

Let us differentiate the volume equation with respect to t using product rule

V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\

-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14  + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514

Rate of change of height = 0.08514 in/sec

8 0
3 years ago
How do you change the answers into the correct number of digit?
Jobisdone [24]
What is the question here that I should answer?
7 0
3 years ago
Find the midpoint between each pair of point<br> 15. (-1,-5) and (-5, 7)<br> 16. (5,-2) and (-4, 2)
n200080 [17]

Answer:

Midpoint of (-1,-5) and (-5,7) is (-3,1)

Midpoint of (5,-2) and (-4,2) is (0.5,0)

Step-by-step explanation:

Use the midpoint formula

4 0
3 years ago
After school Rayah skateboards at a constant rate from her house to her friend's house 1.8 miles away. It takes her 12 minutes t
Sonja [21]

Answer:

Step-by-step explanation:

Given that:

Distance to friends's house = 1.8 miles

Time taken = 12 minutes

Since the rate is constant :

The rate Is related to distance and time :

The two variable equation which represents the equation is :

Speed = Distance / time

5 0
3 years ago
What is the equation ?
andreev551 [17]

Answer:

y=x-5

Step-by-step explanation:

y-2=(7-2)/(12-7)(x-7)

y=1(x-7)+2

y=x-5

3 0
2 years ago
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