Answer:
Her final answer should have been x = 1/2.
Step-by-step explanation:
Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.
Correct solution:
8(x-3)+7=2x(4-17)
8x-24+7=8x-34x
-17=-34x
The negatives on both sides cancel each other out
x = 1/2
9514 1404 393
Answer:
14.4
Step-by-step explanation:
The Pythagorean theorem tells you ...
7² +a² = 16²
a² = 256 -49
a = √207
a ≈ 14.4
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2.
Answer:Two such terms are 7x^3*y^9 and -3x*y^5
Their quotient is
7x^3*y^9
--------------
-3x*y^5
This can be simplified as follows:
The numerical coefficients become -7/3.
x^3/x = x^3*x^1 = x^(3 - 1) = x^2 (we subtract the exponent of x in the denominator from the exponent of x in the numerator).
Next, y^9*y^5 = y^4.
The quotient in final reduced form is then (-7/3)x^2*y^4
Answer:
141.37 cm
Step-by-step explanation:
If we're going off of the blue shaded region, the area of the full circle is 254.47 cm^2. Then we calculate the area of the inner circle. This gives you 113.1. Now you must subtract the area of the inner circle by the area of the outer circle. 254.47-113.1. This gives you 141.37, which should be your answer.
