Answer:
1. b=39.497
2. c=3.606
3. a=18.974
Step-by-step explanation:
1.
41^2-11^2=b^2
1681-121=b^2
b^=1560
b=39.497
2.
2^2+3^2=c^2
4+9=c^2
c^2=13
c=3.606
3.
21^2-9^9=a^2
441-81=a^2
a^2=360
a=18.974
Answer:
x=1/2
Step-by-step explanation:
First you distribute the 8 over the (x-3) giving you 8x-24. Do the same for 2x and (4-17). That should give you 8x-34x.
Your equation should look like : 8x-24+7=8x-34x
Next try to balance out your equation. You want your x's all by themselves in order to solve.
The 8x's cancel eachother out so you have -24+7= -34x.
Add the like terms of -24 and 7 to get -17.
Equation: -17= -34x
Divide both sides by -34 to get x by itself.
-17/-34 = x
Reduce by dividing the numerator and denominator by 17 to get -1/-2
Since they are both negative the fraction turns positive.
So the answer should be x=1/2
Answer:
Why???
Step-by-step explanation:
Let s represent the length of any one side of the original square. The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.
The area of this rectangle is (s+9)(s-2) = 60 in^2.
This is a quadratic equation and can be solved using various methods. Let's rewrite this equation in standard form: s^2 + 7s - 18 = 60, or:
s^2 + 7s - 78 = 0. This factors as follows: (s+13)(s-6)=0, so that s = -13 and s= 6. Discard s = -13, since the side length cannot be negative. Then s = 6, and the area of the original square was 36 in^2.
