The expression that is equivalent to √1,120y is: 4√70y.
<h3>What are Equivalent Expressions?</h3>
Expressions are said to be equivalent when the value of one is the same as the value of the other when evaluated or simplified.
Given the expression, √1,120y, we can simplify as shown below:
√(16 × 70 × y)
= 4√70y
Thus, 4√70y is equivalent to √1,120y .
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Answer:
b. One
Step-by-step explanation:
A (standard-form) linear equation in one variable always has exactly one solution.
___
We add the qualifier "standard-form" to eliminate equations of the form
x = x . . . . infinite solutions
or
x = x + a . . . a ≠ 0 . . . . no solutions
When the first of these is put into standard form, it is ...
0 = 0 . . . . no longer a linear equation
When the second of these is put into standard form, it is ...
0 = a . . . . no longer a linear equation in x (and not true, either)
In standard form the given equation is ...
y = 6 . . . . . one solution
Answer:
a = 29/46
b= - 9/46
Step-by-step explanation:
<u>Given:</u>
- (5 + 2√3)/(7 + √3) = a - √3b
<u>Rationalizing the left side:</u>
- (5+2√3)(7-√3)/(7+√3)(7-√3) =
- (35 + 14√3 - 5√3 - 2√3²)/(7² - √3²) =
- (35 - 6 + 9√3)/(49 - 3) =
- (29 + 9√3)/46 =
- 29/46 + √3 (9/46)
<u>Comparing the left and right sides:</u>
- a - √3b = 29/46 + √3 9/46
- a = 29/46
- b = - 9/46
