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Factor
x
2
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using the AC method.
Tap for fewer steps...
Factor
x
2
−
x
−
2
using the AC method.
Tap for more steps...
(
2
x
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x
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Remove unnecessary parentheses.
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Answer:
x = 18 and y = 6√10
Step-by-step explanation:
First using pythagoras theorem on the small triangle
h² = 6² + 2²
h² = 36 + 4
h² = 40
h= √40
h = √4 * 10
h = 2√10
Using the similarity theorem;
y/2√10 = 6/2
y/√10 = 6
y = 6√10
To get x we will use the pythagoras theorem
y² = x²+6²
(6√10)² = x² + 36
360 = x² + 36
x² = 360 - 36
x² = 324
x = 18
Hence x = 18 and y = 6√10
Answer:
Step-by-step explanation:
Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:
8 + 23(x) ≤ 100
8 + 23x ≤ 100
23x ≤ 100 - 8
23x ≤ 92
x ≤ 92/23
x ≤ 4
The number of people that can go to the amusement park will be at most 4
10² - 2 (8) + 11 . Use PEMDAS, which is the order of operation to follow:
P = parenthesis → 10² - 2x8 +11
E = exponent → 100 - 2x8 +11
M = Multiplication → 100 -16 +11
D = Division → NO DIVISION
A = Addition → 111 -16
S = Subtraction → 95 (answer 3)
Apply the same logic for the 2nd exercice and you will find 26 (I don't see the 26 in your answer but I am sure it's 26)
