Step-by-step explanation:
step 1. m + 7.02 = 6.32
step 2. m = -0.70. (subtract 7.02 from each side)
Answer:
x = 100
Step-by-step explanation:
The ratios of long side to hypotenuse are the same for all these triangles.
x/(x+10) = (x+10)/(x+21)
x^2 +21x = x^2 +20x +100 . . . . . multiply by (x+10)(x+21), expand
x = 100 . . . . . . . . . . . . . . . . subtract x^2 +20x
The fence is a 8x4 fence as they multiply up to 32 square feet and 8 is double 4. If you add 8+8+4+4 you will get 24. Then you multiply the perimeter (24) by 3 to get the final cost. This means that the final cost will be $72.00.
To determine this, we need to set up fractional proportions.
First, put 12.5% (what we're looking for) over 100%, which is the total (256).
12.5/100 should be your first fraction.
Now, put x over 256, x being 12.5% of 256.
x/256 should be your second fraction.
Now put these two fractions as an equation.
x/256 = 12.5/100
This may be where things get tricky if you don't pay attention.
Cross multiply the top number (numerator) of x/256 with the bottom number (denominator) of 12.5/100.
You should end up with 100x.
Now, cross multiply the top number of 12.5/100 with the bottom number of x/256.
You should end up with 3200.
Now our equation is:
100x = 3200
Divide both sides by 100 to get x.
100x/100 = x
3200/100 = 32
x = 32 is now your simplified equation.
Your final answer is:
32 is 12.5% of 256.
Also, since 12.5% is 1/8 of 100%, we can test our answer.
Multiply 32 by 8 to get 8/8 (100%).
32 x 8 = 256.
Your answer is 32.
I hope this helps!
Answer:
(
x
+
5
i
)
(
x
−
5
i
)
Step-by-step explanation:
Multiply the constant by −
i
^2 and factor.
