Answer:
a.7(6xy-2z)
=7*6xy-7*2z
=42xy-14z
b.5(2w+3)-6(w+2)
=5*2w+5*3-6*w-6*2
=10w+15-6w-12
=4w+3
c.2f(2f+g-3)
=2f*2f+2f*g-2f*3
=4f^2+2fg-6f
Step-by-step explanation:
The name for facts in subtraction problems: Fact Family is a group of math facts that uses the same numbers, for addition, and subtraction.
Answer: =====> I believe is, Subtraction Fact Strategies, or Fact Families.
1. ). Strategy: ===> Think Addition:
1.). Subtraction Description ====> Using the known addition fact to solve the subtraction problem. Ex. 13-5, think what goes with 5 to make 13?
2.). Strategy: ===> Fact Families
2.). Subtraction Description ====> Think of the fact family to recall the missing number.
3.). Strategy ===> Build Up Through
3.). Subtraction Description ===> Ten
Used when either the subtrahend or minuend is 8 or 9. Ex: 14-9: start with 9 and work up through 10: 9 and 1 is 10 and 4 more makes 5.
4.). Strategy ==> Back Down Through Ten
4.). Subtraction Description: ==> Working backward with 10 as a “bridge”. Ex. 15-6, Take 5 away from 15 to get to ten. Then take one more away, leaving 9.
Hope that helps!!! : )
The geometric mean for the above set of data given is: 1.1475 (Option B). See the explanation below.
<h3>What is Geometric Mean?</h3>
The geometric mean can be defined as the average rate of return of a set of values obtained by multiplying the terms together.
Geometric mean is best suited for series with serial correlation, which is notably true for investment portfolios.
<h3>What is the computation justifying the above answer?
</h3>
The formula for geometric mean is given as:
![\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}](https://tex.z-dn.net/?f=%5Cleft%28%5Cprod%20_%7Bi%3D1%7D%5E%7Bn%7Dx_%7Bi%7D%5Cright%29%5E%7B%5Cfrac%20%7B1%7D%7Bn%7D%7D%3D%7B%5Csqrt%5B%7Bn%7D%5D%7Bx_%7B1%7Dx_%7B2%7D%5Ccdots%20x_%7Bn%7D%7D%7D)
Hence,
The geometric Mean =
1.0147506490423
1.1475
Learn more about Geometric Mean:
brainly.com/question/23706022
#SPJ4
Answer:
Step-by-step explanation:
In a parallelogram, diagonals bisect each other.
7y - 2 = 5y + 4
7y - 2 - 5y = 4
2y - 2 = 4
2y = 4 +2
2y = 6
y = 6/2
y = 3
3x +2 = 23
3x = 23 - 2
3x = 21
x = 21/3
x = 7
Answer:
#16 = (0, -10)
#17 = (-18, -3)
Step-by-step explanation:
U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).
