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Blizzard [7]
3 years ago
9

Find the equation of the line that satisfies the given conditions

Mathematics
1 answer:
prisoha [69]3 years ago
5 0
To find the equation use this form:

y - y0 = m * (x - x0)

y - 0 = 2 (x - 7)

y = 2x - 14

That is the slope intercept form

The standard form is Ax + By = C

Where A, B and C have to be integer and simplified (divided by the greatest common divisor of A, B and C).

Starting with y = 2x -14

2x - y = 14.

Tha is the standard form


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What is 8(2x+5)=16x+40?
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Answer:

x = infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

8(2x + 5) = 16x + 40

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 8:                                  16x + 40 = 16x + 40
  2. Subtract 40 on both sides:          16x = 16x
  3. Divide 16 on both sides:               x = x

Here we see that <em>x</em> does indeed equal <em>x</em>.

∴ <em>x</em> has an infinite amount of solutions.

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3. A utility pole is 38 ft tall. The pole creates a 53 ft shadow. What is the angle of elevation of the sun? Round your answer t
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The angle of elevation of the sun is 36\degree.

Step-by-step explanation:

Let x be the angle of elevation of the sun as shown in the diagram.


Then the side length which is 38 feet is opposite to x and the side length which is 53 feet is adjacent to x.


Therefore we use the trigonometric ratio that involves the opposite and adjacent sides, which is the tangent ratio.


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We solve for x to get,


x=\arctan (0.71698)


\Rightarrow x=35.63981


To the nearest degree, the angle of elevation is 36\degree







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