Answer: QE = 10
Step-by-step explanation: To solve this problem, it's important to understand that the diagonals of a parallelogram bisect each other.
This means that E is the midpoint of diagonal SQ.
So we can setup the equation x² + 9x = 4x + 6.
To solve this polynomial equation, set it equal to zero first.
So we have x² + 5x - 6 = 0 and we get (x + 6)(x - 1) = 0
when we factor the left side of the equation.
So this means that x = -6 or x = 1.
However, -6 will give us a negative length when we plug it in
to find QE so this will not work.
However, plugging 1 in will give us 10 as a length so QE = 10.
Answer:
C. The value for Group A is double the value for Group B
Step-by-step explanation:
First, you add all the numbers from each group.
A: The distance in total is 39.06
B: The distance in total is 19.53
To find the mean, which is another way of saying the average, you divide the sum with how many numbers there are. (hope this makes sense, I suck at wording)
A: There are 9 numbers in total, hence, 39.06/9 = 4.34
B: There are 9 numbers in total, hence, 19.53/9 = 2.17
Those are the mean distance for the two groups.
2.17 * 2 = 4.34
Hence, C (third statement)
-12 + 2a = -6 (1+a)?
Answer is 0 = 6
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The correct answer is Option Three .
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Given:
Consider the expression is

To find:
The simplified form of the given expression.
Solution:
We have,

Using the properties of exponents, we get
![\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5Cright%5D)


Therefore, the simplified form of the given expression is
.