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raketka [301]
1 year ago
11

What is the equation of the line through the origin and (-2,3)?

Mathematics
1 answer:
MAVERICK [17]1 year ago
4 0

Step-by-step explanation:

algenbraic

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Can someone help with this question? thanks
Stels [109]
I can’t see make clearer plz
5 0
3 years ago
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu
arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

          A cylinder and a cone have the same volume

          Cylinder has a radius 2 inches and height of 3 inches.

          Cone has a radius of 3 inches

Step:1

           For Cylinder'

           Formula to calculate the volume of cylinder is,

                        V = \pi r^{2} h..................................................(1)

          where,

                      r - 2 inches

                      h - 3 inches

         From the equation (1)

                           = \pi × 2^{2} × 3

                           = 37.70

                        V = 37.70 cubic inches

Step:2

         For cone,

         Formula to calculate the volume of cone is,

                     V = \pi r^{2} \frac{h}{3}..................................................(2)

         From the statement,

                      cylinder and a cone have the same volume

                      V_{cylinder} = V_{cone}

                          37.70 = \pi × 3^{2} × \frac{h}{3}

                          37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

            Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0
2 years ago
Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the
Artist 52 [7]

Answer:

(a)

f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4

(b)

f(a+h)-f(a)=2ah+h^{2} -3h

(c)

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4

(b)

Evaluate (a) in the function:

f(a)=a^{2} -3a-4

Using the previous answers lets calculate f(a+h)-f(a)

f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11

7 0
3 years ago
A delivery truck traveled 324 miles on 18 gallons of gas. How far can be traveled on 41 gallons of gas?
bekas [8.4K]
Set up the equation:
<u>324</u> = <u> </u><u>x </u>
 18     41

(324 * 41)/18  = 738 miles<u />
6 0
3 years ago
3x − 2y = 6 <br> 3x + 10y = −12<br> Find the common x and y.
Ganezh [65]

x = 1

y = -3/2

Solution: (1, -3/2)

//Hope it helps.

7 0
2 years ago
Read 2 more answers
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