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2 years ago

Which rotation transformed FGHI to F'G'H'I

Mathematics

2 answers:

kenny6666 [7]2 years ago

3 0

The answer is a 45 degree rotation Clockwise. Hope that helps! :)

Anettt [7]2 years ago

3 0

Clockwise 45° I believe

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A rectangle with an area of 240 in2 has a length 10 inches shorter than five times its width. Which equation could be used to so

almond37 [142]

L = 5W - 10
5W = L + 10
W = 1/5(L + 10)
Area = L x W
240 = L(1/5(L + 10)
L^2 + 10L = 240(5) = 1200
L^2 + 10L - 1,200 = 0

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2 years ago

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A recipe needs 1/4 tablespoons salt. the same recipe is made 5 times how much salt is used?

konstantin123 [22]

Answer: 1 and one fourths because 1/4 times 5 is 1 1/4

Step-by-step explanation:

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2 years ago

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ivann1987 [24]

Answer:

6. 10^3 ten to the third power

7. 10^5 ten to the fifth power

8. not sure

10. 60

19. 20

11-13: not sure

and i can't understand the rest

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3 years ago

Question:<br> (-11x-11x-11)=?

lakkis [162]

Answer:

-22x-11

Step-by-step explanation:

Your welcome! :)

4 0

2 years ago

Find the equation of the tangent line to the curve y equals left parenthesis x minus 3 right parenthesis superscript 7 baseline

Rashid [163]

We have been given the expression to be $y=(x-3)^7(x+1)^2$

Since we need to find the tangent at a point, we will have to find the derivative of $y$ as the slope of the tangent at a given point on the curve is always equal to value of the derivative at that point.

Thus, we have to find $\frac{dy}{dx}=\frac{d}{dx} (x-3)^7(x+1)^2$

We will use the product rule of derivatives to find $\frac{dy}{dx}$

Thus, $y'=7(x-3)^6(x+1)^2+(x-3)^7\times2(x+1)$ (using the product rule which states that $(fg)'=f'g+fg'$ )

Taking the common factors out we get:

$y'=(x-3)^6(x+1)(7(x+1)+2(x-3))$

$y'=(x-3)^6(x+1)(7x+7+2x-6)=(x-3)^6(x+1)(9x+1)$

Thus, $y'$ at $x=4$ is given by:

$y'_{x=4}$ =Slope of the tangent of y at x=4= $m$

Thus, $m=(4-3)^6(4+1)(9\times4+1)=185$

Now, the equation of the tangent line which passes through $(x_{1}, y_{1})$ and has slope m is given by:

$y-y_{1}=m(x-x_{1})$

Thus, the equation of the tangent line which passes through $(4,25)$ and has the slope 185 is $y-25=185(x-4)$

Which can be simplified to $y=185x-740+25=185x-715$

Thus, $y=185x-715$

This is the required equation of the tangent.

3 0

2 years ago