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miss Akunina [59]
3 years ago
13

Y= x^2 + 2 Find the slope of tangent line to graph when x= -1

Mathematics
1 answer:
ANTONII [103]3 years ago
4 0

dy%2Fdx+=+6x%5E2 So the slope at x = 2 is 6*(2^2) = 24
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POSSIBLE POINTS 10
Olin [163]
94.2 in would be your answer
5 0
3 years ago
What is the rate of change of y=-4/9x+5
WARRIOR [948]

Answer:

Rate of change of y is -  \frac{4}{9}

Step-by-step explanation:

y =  -  \frac{4}{9} x + 5 \\  \\ differentiating \: with \: respect \: to \: x \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} \frac{d}{dx} x +  \frac{d}{dx} 5 \\  \\  \frac{dy}{dx}  =  -  \frac{4}{9} .1 +  0 \\  \\  \huge \red{\frac{dy}{dx}  =  -  \frac{4}{9} } \\  \\ rate \: of \: change \: of \: y =-  \frac{4}{9}

8 0
2 years ago
The difference between two number is 9 and the product of the number is 162 find the 2 number
erik [133]

Answer:

18 and 9

OR

-18 and -9

Step-by-step explanation:

Let:

first number = x

second number = y

According to given conditions:

x -  y = 9 ---------- eq1

x * y = 162 ------- eq2

From eq1:

x = 9 + y

Put it in eq2:

(9+ y)*y = 162

9y + y^2 - 162 = 0

OR

y^2 + 9y -162 = 0

By factorizing we get:

y^2 -9y + 18y - 162 = 0

Taking common:

y(y - 9) + 18(y - 9) = 0

(y - 9)(y + 18) = 0

So:

y = -18 and y = 9

ignoring negative integer

Putting values of y in eq1:

   x - 9 = 9

  x = 9 + 9

   x = 18

So the two numbers are:

18 and 9

OR

-18 and -9

i hope it will help you!    

5 0
4 years ago
What is the quotient of 305 ÷5
gtnhenbr [62]
The quotient is 61 ☺☺☺
6 0
3 years ago
Find the volume of a right circular cone that has a height of 15.6 cm and a base with a radius of 7.8 cm. Round your answer to t
sergey [27]

Answer:

356.8cm3

Step-by-step explanation:

Volume of a cone= 1/3 * base area * height.

Note: don't be confused by right circular cone ; a cone is gotten from a cylinder by dividing it into three parts. One from the right vertex slanted to the middle of the base; another from the left vertex slanted to the middle of the base and the remaining portion with the surface base at the top.

Going forward; base area =pi * raduis * raduis [ area of a circle; the base is a circle]

Volume= 1/3 * (3.142 * 7.8 * 7.8 *5.6) = 356.83cm3

Volume= 356.8cm3 [ to the nearest tenth].

Tenth means 1/10= 0.1; that is value after the decimal point.

5 0
3 years ago
Read 2 more answers
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