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sertanlavr [38]
11 months ago
10

Find the equation of each line with the following general informatie (c) r-intercept a and slope m (d) inclination and y-interce

pt b
Mathematics
1 answer:
VikaD [51]11 months ago
6 0

Let's use the slope-intercept equation:

\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \\ x-intercept=a \\ x=\frac{y-b}{m} \\ x=\frac{y}{m}-\frac{b}{m} \\ x=\frac{y}{m}-a \\ or \\ y=mx+ma=m(x+a) \end{gathered}

------------------------------------

d)

\begin{gathered} y=mx+b \\ m=slope=\theta \\ b=y-intercept \\ y=\theta x+b \\  \end{gathered}

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Answer:

The answer to the question is

37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.

Step-by-step explanation:

To answer the question, we note that  a parallelogram is a four sided polygon having two opposite parallel sides.

Therefore in this question, we select our parallelogram to be a rectangle

Number of pieces of parallelogram in a quilted block = 8

Number of parallelogram in each quadrant of the quilted block = 2

Therefore the height of the rectangle = 2 × the base = 2×3\frac{3}{4} = 7.5 inches

Therefore the area of each parallelogram = base × height

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\frac{225}{8} *8 = 225 in^2

Hence 24 blocks wil require 24×225 in² = 5400 in²

However, since 144 in² = 1 ft² we have

5400 in² = 5400 in²× 1/144  ft²/in² = 37.5 ft².

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