Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
(0,-3)
Step-by-step explanation:
You can just graph it and find the center.
Please put me as brainliest. Thank you.
A linear inequality to represent the algebraic expression is given as 492.46 - x ≥ 500
<h3>Linear Inequality</h3>
Linear inequalities are inequalities that involve at least one linear algebraic expression, that is, a polynomial of degree 1 is compared with another algebraic expression of degree less than or equal to 1.
In this problem, her minimum balance must not decrease beyond $500 or she will pay a fee.
where
The inequality to represent this can be written as
524.96 - 32.50 - x ≥ 500
Simplifying this;
492.46 - x ≥ 500
The linear inequality is 492.46 - x ≥ 500
Learn more on linear inequality here;
brainly.com/question/23093488
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Answer:
Cos E= 24/25
Step-by-step explanation:
Length of hypotenuse: 7^2+24^2=625. 625 square root=25
Thus, DE is 25.
Sin D= 24/25, so that is false.
Tan D= 24/7, so that is false.
Cos E= 24/25, so that is true
Sin E= 7/25, so that is false.
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
- Side #1 = 18
- Side #2 = 2x - 3
- Side #3 = x
<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>
<u />
<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>
<u />
<u />
<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>
<u />
<em />
<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>
