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madreJ [45]
3 years ago
6

Rewrite it in factored form: x4 - y2 x2

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

(x^2+xy)(x^2-xy)

Step-by-step explanation:

I'm going to write it so I can see it better:

x^4-y^2x^2

You can use the difference of squares formula:

(x^2+xy)(x^2-xy)

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M(5.9) is the midpoint ofRS. The coordinates of Sare (6,8). What are the coordinates of R?
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Coordinates of R (4,10)

•————•————•
(?,?) (5,9) (6,8)

You have to see how the x & y changed from point M to S and do the same thing for point R to M


M S
(5,9) >>>> (6,8) (x+1, y-1)

R M
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The function y=−16x2+36 represents the height y (in feet) of an apple x seconds after falling from a tree. Find and interpret th
Lapatulllka [165]

Answer:

A. x-intercept=x=1.5 , y-intercept=y=36

B.the apple will hit the ground after x=1.5 seconds.

Step-by-step explanation:

A. X-intercept and Y-intercept:

X-intercept:

  • the point where the line passes through X-axis i.e. point where y=0

Y-intercept:

  • the point where the line passes through Y-axis i.e. point where x=0

Given Equation:

  • y=-16x^2+36

Finding X-intercept:

to find x-intercept, put y=0 in the given equation as

0=-16x^2+36\\

adding -16x^2 to both sides of the equation, we get

16x^2=36

dividing both sides by 16, we get

x^2=\frac{36}{16}\\x^2=2.25

taking√ on both sides of the equation, we get

x=\sqrt{2.25}\\ x=1.5

Finding Y-intercept:

to find y-intercept, put x=0 in the given equation

y=-16(0)^2+36\\y=36

thus x-intercept=x=1.5

and y-intercept=y=36

B.when will the apple hit the ground after x seconds?

In the given equation if x represent the time in seconds then y represents the height of the tree from which the apple is fallen down

so if the apple hits the ground, at this stage the height is zero so y=0, thus we get x as

0=-16x^2+36\\

dividing both sides by 16, we get

x^2=\frac{36}{16}\\x^2=2.25

taking√ on both sides of the equation, we get

x=\sqrt{2.25}\\ x=1.5

the apple will hit the ground after x=1.5 seconds.

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