The equation x² − 10x − 11 = 0 that is equivalent to (x – 5)² = 36. Then the correct option is A.
<h3>What is an equivalent expression?</h3>The equivalent is the expressions that are in different forms but are equal to the same value.
The equation is given below.
x² − 10x − 11 = 0
Then the equation can be written as
x² − 10x + 25 – 25 − 11 = 0
(x – 5)² = 36
Then the correct option is A.
The complete question is attached below.
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Answer:
<h2>11.4</h2>Solution,
∆ ACB = ∆ EFD
finding the value of X,
Apply cross product property
Calculate the product
Divide both sides by 5
Calculate
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The college student took 13 courses of 3 credit hours.
Step-by-step explanation:
Given,
Total credits = 59
Total courses = 18
Let,
Number of 3 credit hour courses = x
Number of 4 credit hour courses = y
According to given statement;
x+y=18 Eqn 1
3x+4y=59 Eqn 2
We will eliminate y to find the number of 3 credit hour courses, therefore,
Multiplying Eqn 1 by 4
Subtracting Eqn 2 from Eqn 3
The college student took 13 courses of 3 credit hours.
Keywords: linear equation, subtraction
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