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lyudmila [28]
3 years ago
12

Write the slope-intercept form of the equation of the line (y=Mx+b) through the given point:

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

<h2>          y = 2x + 6</h2>

Step-by-step explanation:

M=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-0}{-2-(-3)}=\dfrac21=2

y = 2x + b  passes through point (-3, 0), so:

0 = 2(-3) + b

0 = -6 + b

b = 6

Therefore the equation:  <u>y = 2x + 6</u>

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Calculate the area of quadrilateral ABCD.<br> State the units of your answer.
cluponka [151]

Answer:

158.76 cm²

Step-by-step explanation:

Quadrilateral ABCD is composed of 2 right triangles

Construct the line BD, then

Δ ABD and Δ BCD are the 2 right triangles.

The area (A) of a triangle is calculated using

A = \frac{1}{2} bh ( b is the base and h the perpendicular height )

Δ ABD with b = 18 and h = 7.5

A = \frac{1}{2} × 18 × 7.5 = 9 × 7.5 = 67.5 cm²

Δ BCD with b = 15.6 and h = 11.7

A = \frac{1}{2} × 15.6 × 11.7 = 7.8 × 11.7 = 91.26 cm²

Thus

area of ABCD = 67.5 + 91.26 = 158.76 cm²

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3 years ago
What is the volume of the prism?
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4 1/2
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-3/8x - 11 = 4
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7 0
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Is 100 in greater than 3yd 1ft
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Answer:

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