X² - 4x - 77 = 0
( x + 7) ( x - 11)
x + 7 = 0
x - 11 = 0
x = -7
x = 11
Step-by-step explanation:
1)
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
therefore,
c2 = (10)2 in + (24)2 in
c2 = 100 + 576
c2 = 676
c = √676
c = 26
Answer:
3/4
Explanation:
15 is 3/4 of 20
3 is 3/4 of 4
6 is 3/4 of 8
The answer is: " 19 " .
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Explanation:
To solve:
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Given:
" 4² + 6 ÷ 2 " ;
We solve using "PE MD AS" (mnemonic device for order of operations in order of consideration); which stands for:
"Please Excuse My Dear Aunt Sally (or Aunt Susan)" ;
Alternately: "BE MD AS"
" Be Excused My Dear Aunt Sally (or Aunt Susan)" .
"Parentheses {alternative version: "Brackets" ; in which "Parentheses can be considered "Brackets" ; yet in reality, Brackets would come before Parentheses}, then Exponents, then "Multiplication then Division (from left to right as they occur in the problem) , then "Addition then Subtraction (from left to right as they occur in the problem) .
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As such:
Given: " 4² + 6 ÷ 2 " , we have:
"exponents", "addition" and "division" ;
So we can rewrite the problem as:
" (4²) + (6 ÷ 2) =
(4 * 4) + (3) =
(16) + (3) = 19 .
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The answer is: " 19 " .
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