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dlinn [17]
4 years ago
5

Mrs. Lowndes was building a play house for her grandson.

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
8 0

Answer:

21.25ft

Step-by-step explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}

All you need to do is solve for x. You can do this by first cross multiplying:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\\dfrac{2xin}{2in}=\dfrac{42.5in.ft}{2in}\\\\x=21.25ft

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Need help with this please
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Using the distributive property, which number completes the statement correctly?
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Line segment AB has endpoints A(3, -7) and B(-9,-5). Find the equation of the perpendicular bisector
kupik [55]

Answer:

y = 6x + 12

Step-by-step explanation:

We require the midpoint M and slope of AB

Using the midpoint formula, then

M = [ \frac{1}{2} (3 - 9) , \frac{1}{2} (- 7 - 5) ] = (- 3, - 6 )

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(3, - 7) and (x₂, y₂ ) = B(- 9, - 5)

m = \frac{-5+7}{-9-3} = \frac{2}{-12} = - \frac{1}{6}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{1}{6} } = 6

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 6 , thus

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- 6 = - 18 + c ⇒ c = - 6 + 18 = 12

y = 6x + 12 ← equation of perpendicular bisector

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