Can anyone answer these questions
1 answer:
Answer:
see explanation
see explanationStep-by-step explanation:
21
Note that
(a - )²
= a² - 2 +
= a² + - 2
= 11 - 2
= 9
Thus
(a - )² = 9 ( take the square root of both sides )
a - = 3
22
Since the expression is a perfect square, then
(4x + 5y)²
= 16x² + 40xy + 25y²
Comparing coefficients, then
a - 1 = 40 ( add 1 to both sides )
a = 41
23
99² - 87² ← is a difference of squares and factors as
= (99 - 87)(99 + 87)
= 12 × 186 = 1152, thus
24a = 1152 ( divide both sides by 24 )
a = 48
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Answer:
Width is 12 inches and height is 4 inches.
Step-by-step explanation:
Let the width of the piece of cardboard be = w inches
Then length is = inches
As given, 4 inch squares are cut from each corner;
So, the width is = inches
Length is = inches
When we are folding the cut portion, that gives the height as = 4 inches
The volume is given by : length x width x height
And volume is given as 256 cubic inches
So,
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or
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We get , ; w = -8(neglect the negative value)
; w = 12 inches
And length = inches
Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches
We can check by putting these values in equation :
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=>
Answer:
1
Step-by-step explanation:
When you take the log of ...
b = b^1
you get ...