Answer:
I. Length, L = 9.552 meters
II. Width, W = 7.96 meters
Step-by-step explanation:
Let the length = L
Let the width = W
Given the following data;
Perimeter = 35 m
Translating the word problem into an algebraic equation, we have;
Length = 1.2W
To find the dimension of the room;
The perimeter of a rectangle is given by the formula;
P = 2(L + W)
Substituting into the formula, we have;
35 = 2(1.2W + W)
35 = 2(2.2W)
35 = 4.4W
Width, W = 7.96 meters
Next, we would find the length of the rectangle;
L = 1.2*W
L = 1.2 * 7.96
Length, L = 9.552 meters
Answer:
x = -9
Step-by-step explanation:
You are solving for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 7 from both sides:
2x + 7 (-7) = -11 (-7)
2x = -11 - 7
2x = -18
Next, divide 2 from both sides:
(2x)/2 = (-18)/2
x = -18/2
x = -9
x = -9 is your answer.
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Answer:
x=12
Step-by-step explanation:
1/2x - 5 = 10 - 3/4x ---> move like terms to the same side
1/2x + 3/4x = 10 + 5 ---> calculate
5/4x = 15 ---> multiply both sides by 4/5
x = 12
Answer:
16^3
Step-by-step explanation:
16 x 16 x 16 is the same thing as 16 to the 3rd power. The power is how many times you multiply the number by itself.
Answer:
x ∈ {-5, -1}
Step-by-step explanation:
Here's the solution using the quadratic formula:
The real zeros are -5 and -1.
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There are many ways to check your answer. One of them is to look at the given quadratic, which has no changes of sign in its coefficients. (They are all positive.) That means there can be no positive real roots, so already you know that x=0.5 won't work.
Also, the constant in the quadratic is the product of the roots, For your roots, their product is -7/4, so even multiplying by 4 (the leading coefficient in the given quadratic), you don't get anything like 20.
