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A square has sides of 10x. Write and simplify an expression for the perimeter of that square?
2 answers:
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Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
The value of the function is 6
Step-by-step explanation:
The function that we have in this problem is
This means that:
when x is between -4 (excluded) and 6 (excluded), the value of the function is
when x is between 6 (included) and 9 (excluded), the value of the function is 6
In this problem, we are asked to evaluate f(x) when x = 6. Therefore, we are in the second case: therefore, the value of the function is 6,
Learn more about functions:
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