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olchik [2.2K]
3 years ago
14

An observer is standing 20 feet from a

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer:

x+20 squared = 25 squared ; 15ft

Step-by-step explanation:

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Solve the equation 3(x−4)=12x .
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Answer:

x = -4 / 3

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If the mountain at a convergent plate boundary is growing at a rate of 1.6 mm per year, how much higher will it be in 50 years ?
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What is the slope of the line that passes through the points(-5,-9) and (-5,-13)? Write your answer in simplest form.
Valentin [98]

Answer:

slope is undefined

ex. a straight vertical line like x = 2 would have an undefined slope

Step-by-step explanation:

formula is

y2-y1 / x2-x1

-13 + 9 / -5 + 5

-4 / 0

slope is undefined

straight vertical line like x = 2 would have an undefined slope

undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

cuemathcomgeometryundefinedslope

mathbootcampscom

7 0
2 years ago
Rewrite the explicit formula in function form. The identify the y
Katyanochek1 [597]

Answer: y-intercept: (0, 12)

Step-by-step explanation:

a_n = 9 − 3 (n − 1)

Use the slope-intercept form to find the slope and y-intercept.

  The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

     y = mx + b

  Find the values of m and b using the form y = mx + b.

     m = −3

     b = 12

  The slope of the line is the value of m, and the y-intercept is the value of b.

     Slope: −3

     intercept: (0, 12)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

  Find the x-intercept.

     To find the x-intercept(s), substitute in 0 for y and solve for x.

        0 = −3x + 12

      Solve the equation.

        Rewrite the equation as −3x + 12 = 0.

              −3x + 12 = 0

         Subtract 12 from both sides of the equation.

              −3x = −12

         Divide each term by −3 and simplify.

              x = 4

     x-intercept(s) in point form.

     x-intercept(s): (4, 0)

  Find the y-intercept.

     To find the y-intercept(s), substitute in 0 for x and solve for y.

        y = −3 ⋅ 0 + 12

   Solve the equation.

     Remove parentheses.

           y = −3 ⋅ 0 + 12

       Simplify −3 ⋅ 0 + 12.

           y = 12

     intercept(s) in point form.

     intercept(s): (0, 12)

  Create a table of the x and y values.

     <u> x | y </u>

     0 | 12

     4 | 0

Graph the line using the slope and the y-intercept, or the points.

Slope: −3

intercept: (0, 12)

6 0
3 years ago
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