B.) 81
sq rt of x= 12-3
sq rt of x=9
take the ^2 of both sides to get rid of the sq root
x^2= (9)^2
=81
Hello!
The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common
12: 1,12,2,6,3,4
33:1,33,3,11,
As you can see, the greatest number these two have in common is 3.
Now for the next set.
45: 1,45,3,15,5,9
70:1,70,2,35,5,14,7,10
As you can see, our GCF is 5.
Therefore, our answers are below.
9) 3
10) 5
I hope this helps!
Percent increase/decrease is:
(Change/original amount)x100
(.25/2.35)x100= 10.6%
A/c = 8.....a = 8c
a * c = 2 ...a = 2/c
a/b = -16 ...a = -16b
a * b = -1....
b/c = -0.5
2/c = 8c
2 = 8c^2
1/4 = c^2
sqrt 1/4 = c
0.5 (or 1/2) = c <===
a * c = 2
0.5a = 2
a = 2/0.5
a = 4 <===
a = -16b
4 = -16b
4/-16 = b
-1/4 (or - 0.25) = b <===
Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
-------
sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
