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4 years ago

8x 6x 7. Solve for x.*

Mathematics

1 answer:

jarptica [38.1K]4 years ago

3 0

Answer:

X = {0, -1.166666667}

Step-by-step explanation:

Simplifying

8X(6X + 7) = 0

Reorder the terms:

8X(7 + 6X) = 0

(7 * 8X + 6X * 8X) = 0

(56X + 48X2) = 0

Solving

56X + 48X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '8X'.

8X(7 + 6X) = 0

Ignore the factor 8.

Subproblem 1

Set the factor 'X' equal to zero and attempt to solve:

Simplifying

X = 0

Solving

X = 0

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

Simplifying

X = 0

Subproblem 2

Set the factor '(7 + 6X)' equal to zero and attempt to solve:

Simplifying

7 + 6X = 0

Solving

7 + 6X = 0

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

Add '-7' to each side of the equation.

7 + -7 + 6X = 0 + -7

Combine like terms: 7 + -7 = 0

0 + 6X = 0 + -7

6X = 0 + -7

Combine like terms: 0 + -7 = -7

6X = -7

Divide each side by '6'.

X = -1.166666667

Simplifying

X = -1.166666667

Don't get mad if it is wrong I had to do the math fast.

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3 years ago

From Alexa's eyesight to the top of the tree has an angle of 56.789 degrees and its distance of 23.45 feet. Match the following

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Answer:

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Height of tree = 19.620 + height of eyesight from ground

Perimeter of triangle formed = 55.914 ft

Step-by-step explanation:

From the given data, the attached image is drawn ( refer attachment)

Assume

Height of eye line as $h_{A}$ , height of tree as $h_{T}$ , distance of tree from Alexa as X and vertical distance between eye line and top of tree is y.

To find: distance of tree from Alexa

consider triangle ATE. Here

X = 23.45 * cos ( $56.789^{o}$ ) = 12.844 ft

y = 23.45 * sin ( $56.789^{o}$ ) = 19.620 ft

Hence distance of tree from Alexa = 12.844 ft

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= 19.620 + $h_{A}$

Perimeter of triangle = X + Y + 23.45 ft

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= 55.914 ft

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