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aev [14]
3 years ago
6

Factor the expression completely. (If the expression is not factorable using integers, enter PRIME.)

Mathematics
2 answers:
Archy [21]3 years ago
8 0
First you have to put like terms together:
bf+af+be+ae
Now you factor the first two terms and then the two last terms:
f(b+a)+e(b+a)
Now you factor even further. By putting what is in parentheses by what is outside the parentheses:
(b+a)(f+e)
What you got is correct as mine is too. I hope this formula helps for future problems:
ax+bx+ac+bc=x(a+b)+c(a+b)
=(a+b)(x+c)


MatroZZZ [7]3 years ago
6 0
(a + b)(e + f)
a(e + f) + b(e + f)
a(e) + a(f) + b(e) + b(f)
ae + af + be + bf
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In the figure, three line segments cross at a common point. Angle A is 45°, and angle E is 85°. What is the measurement of angle
katen-ka-za [31]

Answer: Measure angle H = 42°


Step-by-step explanation:

"In a triangle, the measure of the exterior angle is equal to the sum of the measures of the two non-adjacent angles to the exterior angle"

In given we have,

angle E is an exterior angle to triangle DFH

The two non-adjacent angles to angle E are angles D and H

Based on the above rule,

measure angle E = measure angle D + measure angle H

We are given this:

angle E = 87°

angle D = 45°

Substitute with the givens in the above rule and solve for the measure of angle H as follows:

angle E = angle D + angle H

87° = 45° + measure angle H

measure angle H = 87° - 45°

measure angle H = 42°

Hope this helped!

5 0
3 years ago
What is the scientific notation 3,400,000,000
Diano4ka-milaya [45]
3.4^9 is the answer/.............
6 0
3 years ago
Angelina wins money in a competition. She is given the choice as to how she is paid.
NISA [10]

Answer:

  • Choice 1
  • 20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

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<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

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<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

  Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

  Sn ≥ 1,000,000

  1 × (2^n -1)/(2 -1) ≥ 1,000,000

  2^n ≥ 1,000,001 . . . . add 1

  n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

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8 0
2 years ago
What is 95% of 6700<br><br> and 45% 0f 910
oksian1 [2.3K]
1. 0.95 x 6700 = 6365
2. 0.45 x 910 = 409.5
7 0
3 years ago
Read 2 more answers
Solve.<br> X = -7<br> 4x - 4y = 12<br> (x,y)
Fynjy0 [20]

Answer:

(-7, -10)

x=-7\\y=-10

Step-by-step explanation:

4x-4y=12

Substitute x for -7.

4(-7)-4y=12

Multiply 4 by -7.

-28-4y=12

Add 28 on both sides.

-4y=40

Divide -4 on both sides.

y=-10

4 0
3 years ago
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