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Novay_Z [31]
2 years ago
10

Which is an equation in point slope form of the line that passes through the points 7,5 and -4,-1

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
6 0

Answer:

the second option is the correct one

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 4, - 1)

m = \frac{-1-5}{-4-7} = \frac{-6}{-11} = \frac{6}{11}

Use either of the 2 points as (a, b)

using (- 4, - 1), then

y- (- 1) = \frac{6}{11}(x - (- 4)), that is

y + 1 = \frac{6}{11}(x + 4)

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Break Even Analysis for Small Business 1) Jesse wants to start a business making and selling skateboards. She will charge $75 fo
Bas_tet [7]

Answer:

  a) r(b) = 75b

  b) c(b) = 30b +500

Step-by-step explanation:

Revenue is the product of the selling price per unit and the number of units. The cost will be the sum of fixed (overhead) cost and production cost per unit multiplied by the number of units produced.

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Let b represent the number of skateboards Jesse produces in a month.

<h3>a)</h3>

Jesse receives $75 for each skateboard sold. Her revenue from selling 'b' skateboards is ...

  r(b) = 75b

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<h3>b)</h3>

It costs Jesse $30 for each skateboard produced, and $500 for overhead. Her total cost is ...

  c(b) = 30b +500

_____

<em>Additional comment</em>

In order to break even, Jesse's revenue must equal her cost:

  75b = 30b +500

  45b = 500

  b = 11 1/9

Jesse must produce and sell 12 skateboards each month to cover her costs. (In a real business, there are additional considerations related to inventory, shrinkage, returns, discounts, and other things that may increase cost or reduce revenue.) After covering costs, each additional skateboard sold will give Jesse a profit of $45.

5 0
2 years ago
The sum of the measure of the interior angles of a polygon is 1980°. What polygon is it?
Gwar [14]
Answer:

tridecagon/triskaidecagon

Explanation:

sum of interior angles= <span>180<span>(n−2)</span></span> degrees, n being the number is sides in the polygon.

sum of interior angles= 1980

<span>180<span>(n−2)</span>=1980</span>

divide by 180:

<span>n−2=<span>1980180</span>=11</span>

add 2:

<span>n=11+2=13</span>

If a polygon has 13 sides, it is called a tridecagon or a triskaidecagon.


8 0
3 years ago
he regular nonagon has rotational symmetry of which angle measures? Check all that apply. 40° 45° 120° 240° 260° 320°
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40 240 and 320 is the correct answers

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bagirrra123 [75]

Answer:

huh? no speak english nomore

Step-by-step explanation:

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2 years ago
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I believe it’s 0.4cm ...
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