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marin [14]
4 years ago
7

5(2^(2x+7)) How do you solve this equation??

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
3 0
Simplifying
0x + 7 + 5x = 2x + 30 + 40

Anything times zero is zero.
0x + 7 + 5x = 2x + 30 + 40

Combine like terms: 0 + 7 = 7
7 + 5x = 2x + 30 + 40

Reorder the terms:
7 + 5x = 30 + 40 + 2x

Combine like terms: 30 + 40 = 70
7 + 5x = 70 + 2x

Solving
7 + 5x = 70 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
7 + 5x + -2x = 70 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = 70 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = 70 + 0
7 + 3x = 70

Add '-7' to each side of the equation.
7 + -7 + 3x = 70 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 70 + -7
3x = 70 + -7

Combine like terms: 70 + -7 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21
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A florist uses 200 liliesto make 8 identical flower arrangements. How many lilies would the floristuse to create 6identical arra
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3 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
2 years ago
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