1. (3 + xz)(–3 + xz)
2. (y² – xy)(y² + xy)
3. (64y2 + x2)(–x2 + 64y2)
Explanation
The difference of 2 squares is in the form (a+b)(a-c).
(3 + xz)(–3 + xz) = (3 + xz)(xz -3)
= (xz + 3)(xz - 3)
= x²y²-3xy+3xy-9
=x²y² - 3²
(y² – xy)(y² + xy) = y⁴+xy³-xy³-x²y²
= y⁴ - x²y²
(64y2 + x2)(–x2 + 64y2)= (64y²+x²)(64y²-x²)
= 4096y⁴-64y²x²+64y²x²-x⁴
= 4096y⁴ - x⁴
Answer:
the length and width . Round to the nearest tenth are 8.8 inches and 3.8 inches respectively.
Step-by-step explanation:
The area A of a rectangle is the product of the length L and width W. This may be expressed mathematically as
A = L * W
As such, given that the length is 5 inches more than the width,
L = W + 5
33 = W(W + 5)
W² + 5W - 33 = 0
Using the formula method which states that
s = -b±√(b²-4ac)/2a
W = -5 ± √5² - 4(1)(-33)/2
= -5 ± 12.53/2
= 7.53/2 (since length cannot be negative)
= 3.755 inches
L = 3.755 + 5
= 8.755 inches
Answer:
-15.875
Step-by-step explanation:
First, we can sum up the first 5 terms.
-8 + (-4) = -12
-12 + (-2) = -14
-14 + (-1) = -15
-15 + (-1/2) = -15.5
Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have
-15.5 - 1/4 = -15.75
-15.5 - 1/8 = -15.875 as our answer
