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Marianna [84]
3 years ago
10

SIMPLE Factoring by Grouping

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
Group together the terms that have "like" variables or constants in them. The first 2 terms both have an x, but the second 2 don't, so the first two are grouped together. The second 2 terms, while they do not have a common variable, both have the number 2. So those are grouped together.
(xa - xb) - (2a + 2b)--> x(a-b) - 2(a-b). Now you can actually factor out the like term (a-b) to get this: (a-b)(x-2).
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Which of the following verbal expression represents the algebraic expression x/2+5
ycow [4]
It would be 5 more than half of a number.
6 0
3 years ago
What is the number of diagonals that intersect at a given vertex of a hexagon, heptagon, 30-gon and n-gon?
DENIUS [597]

Answer:

i. 9

ii. 14

iii. 405

iv. \frac{n(n-3)}{2}

Step-by-step explanation:

The number of diagonals in a polygon of n sides can be determined by:

\frac{n(n-3)}{2}

where n is the number of its sides.

i. For a hexagon which has 6 sides,

number of diagonals = \frac{6(6-3)}{2}

                                   = \frac{18}{2}

                                   = 9

The number of diagonals in a hexagon is 9.

ii. For a heptagon which has 7 sides,

number of diagonals = \frac{7(7-3)}{2}

                                   = \frac{28}{2}

                                   = 14

The number of diagonals in a heptagon is 14.

iii. For a 30-gon;

number of diagonals = \frac{30(30-3)}{2}

                                          = \frac{810}{2}

                                         = 405

The number of diagonals in a 30-gon is 405.

iv. For a n-gon,

number of diagonals = \frac{n(n-3)}{2}

The number of diagonals in a n-gon is \frac{n(n-3)}{2}

7 0
3 years ago
How Manu grams of oat flour does Mr.Price need to use? complete the table​
allochka39001 [22]

Answer:

225

Step-by-step explanation:

Because of 45 time 5

8 0
3 years ago
A family uses 1,303 kWh of electric energy in a month. If the power company charges $0.08 per kilowatt hour, what is the total e
prisoha [69]

The total electric energy bill for the month is \$104.24

<u>Solution: </u>

Given that

Electric energy consumed by family in a month = 1303 kWh

Power Company charges \$0.08 per kilowatt hour

Need to calculate total electric energy bill for the month.

Price of 1 kilowatt hour = \$0.08

\text { Price of } 1303 \text { kilowatt hour }=1303 \text { x Price of } 1 \text { kilowatt hour }=1303 \times 0.08=\$ 104.24

Total electric energy bill for the month = Price of Electric energy consumed by family in a month = Price of 1303 kilowatt hour = \$104.24

5 0
3 years ago
Find the solution set of the inequality.<br> 10c + 5 ≤ 45
Jlenok [28]
The answer is C < 4
-
8 0
2 years ago
Read 2 more answers
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