Answer:
A. ![\frac{(a-b)^{2} +b^{2} }{a^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-b%29%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%7D%7Ba%5E%7B2%7D%7D)
Step-by-step explanation:
So to get the area of a square, we need to find the length of one side.
We know the length of the larger square is a, so the area of the larger cube is ![a^{2}](https://tex.z-dn.net/?f=a%5E%7B2%7D)
We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.
We can plug it into pythagoreans theorem to get
(C represents the length of one side of the smaller square, and the hypotenuse of the triangle)
![C = \sqrt{ (a-b)^{2} +b^{2}}](https://tex.z-dn.net/?f=C%20%3D%20%5Csqrt%7B%20%28a-b%29%5E%7B2%7D%20%2Bb%5E%7B2%7D%7D)
The area of the smaller triangle is C squared to the area of the smaller triangle is
![(a-b)^{2} +b^{2}](https://tex.z-dn.net/?f=%28a-b%29%5E%7B2%7D%20%2Bb%5E%7B2%7D)
To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.
So the ratio should be
![\frac{(a-b)^{2} +b^{2} }{a^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%28a-b%29%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%7D%7Ba%5E%7B2%7D%7D)
<h3>
Answer: 2</h3>
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Explanation:
The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)
Compare this to y = mx+b and we see the slope here is m = -4
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Now let's find the slope of g(x)
use the slope formula with any two rows you want. I'll pick on the last two rows.
m = (y2-y1)/(x2-x1)
m = (21-9)/(3-1)
m = 12/2
m = 6 is the slope of g(x)
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From here, we add the two slope values
(slope of f)+(slope of g) = -4+6 = 2
Answer:
d
Step-by-step explanation:
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Answer:
70%
Step-by-step explanation:
Maths homework takes 1/6×150mins
=150/6=25 mins
science homework takes 20/100×150
=3000/100
=30mins
Language Arts homework uses 1/3×150
=150/3
=50 mins
percent of time left for Marsha's social studies homework=total time used / original time
=(25+30+50)mins
=105mins/150mins×100%
=0.7×100
=70%
Answer:
You have to make sure the y= is always on the left side and so it looks like ,y=mx+b. m=slope, x=independent variable and b = y intercept.
Step-by-step explanation:
Hope it helps :)