Please help 100 points please

Mathematics

1 answer:

Schach [20]2 years ago

4 0

Solution:

We know that:

Area of trapezoid = (a₁ + a₂)h/2
a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.

This means that:

Area of trapezoid = (8 + 8 + 4 + 4)6/2

Step-by step calculations:

Simplify the numerator:

Area of trapezoid = (8 + 8 + 4 + 4)6/2
=> Area of trapezoid = (24)6/2

Cancel the denominator:

=> Area of trapezoid = (24)3

Simplify the term:

=> Area of trapezoid = 72 in²

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ratelena [41]

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2 years ago

What is parallel to 2x-y=1 and contains (4, -6)? Please show your work!

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$k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\\text{We have}\\\\k:\ 2x-y=1\ \ \ |-2x\\-y=-2x+1\ \ \ \ |\cdot(-1)\\y=2x-1\to m_1=2\\\\l:\ y=m_2x+b\\\\l\ ||\ k\iff m_2=2\\\\l:\ y=2x+b\\\\\text{The line l contains (4, -6)}\\\\\text{Put the values of coordinates to the equation of line l}\\\\-6=2(4)+b\\-6=8+b\ \ \ \ \ |-8\\b=-14\\\\Answer:\ y=2x-14\to 2x-y=14$