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sammy [17]
3 years ago
6

Simplify the algebraic expression 8y-2(y+4)

Mathematics
2 answers:
Ludmilka [50]3 years ago
8 0

Answer

8y-2(y+4) first we open bracket     8y-2y-2*4

                                                          8y-2y-8

                                                          6y-8

                   we take common        2(3y-4) answer


Goshia [24]3 years ago
7 0

Answer:

6y -8

Step-by-step explanation:

8y-2(y+4)

Distribute the 2

8y -2y -8

Combine like terms

6y -8

You might be interested in
Which of the following is equal to the rational expression when x does not equal -2 or -6?
MissTica

Answer:

B. 3 / (x+6)

Step-by-step explanation:

3(x+2)/(x+6)(x+2) = 3 / (x+6)

6 0
3 years ago
Square has side lengths of 13 units. Point lies in the interior of the square such that units and units. What is the distance fr
romanna [79]

The distance from E to side AD is 25/13.

<h3>What is a distance?</h3>
  • The length of the line connecting two places is the distance between them.
  • If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.

To find what is the distance from E to side AD:

  • If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
  • Let's call F the point where E meets side AD, so the problem is to find the length of EF.
  • By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
  • Since they're similar, the ratios of their side lengths are the same.
  • EF/EA = EA/AB (they're corresponding side lengths of similar triangles).

Substitute them with known lengths:

  • EF/5 = 5/13
  • EF = 5 × (5/13) = 25/13

Therefore, the distance from E to side AD is 25/13.

Know more about distance here:

brainly.com/question/2854969

#SPJ4

The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.

8 0
1 year ago
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
Illusion [34]

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

8 0
3 years ago
Use the difference of two squares to find the product of 22 and 18.
vladimir2022 [97]

Answer:

396

Step-by-step explanation:

Difference of two squares is breaking down numbers into pieces and using the distributive property to solve. The pieces should be in the form (a-b)(c+d).

Write 22 as (20 + 2) and 18 as (20-2).

(20+2)(20-2) = 400 + 40 - 40 - 4 = 400 - 4 = 396

4 0
3 years ago
The function f(x) = x^2 - 2x + 8 is transformed such that g(x) = f(x-2). Find the vertex of g(x).
Serjik [45]

Answer:

Step-by-step explanation:

Since g(x) is f(x-2), every time there is a "x" in the f(x) equation, substitute "x-2". So g(x) would be (x-2)^2-2(x-2)+8. Use the method of trial and error: substitute x as 1,-1, and 3, until you found the right vertex. The answer is B (3,7).

7 0
3 years ago
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