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3 years ago

Find the area of the shaded region in the image below. Write your answer as a simplified polynomial in standard form.

Mathematics

1 answer:

Misha Larkins [42]3 years ago

7 0

Answer:

6x^2+17x+9

Step-by-step explanation:

you have to subtract the area of the white rectangle from the area of the entire rectangle

to find the area of the inner rectangle do (2x-3)*(x+1)=2x^2-3x+2x-3=2x^2-x-3

to find the area of the entire rectangle do (4x+6)*(2x+1)=8x^2+12x+4x+6=8x^2+16x+6

(8x^2+16x+6)-(2x^2-x-3)=8x^2+16x+6-2x^2+x+3=6x^2+17x+9

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Please help w/ #18 (10 points)

patriot [66]

Answer: y=-(1/8)x+(21/2)

Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

8 —> -1/8

Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

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2 years ago

A suncatcher has 6 sections. Each section is in the shape of a parallelogram witha base of 12 cm and a height of 8 cm. What is t

jonny [76]

Answer:

576 cm²

Step-by-step explanation:

Given:

Number of sections in a suncatcher (n) = 6

Each section is in the shape of a parallelogram.

Base of parallelogram = 12 cm

Height of parallelogram = 8 cm

Now, area of a parallelogram is given as:

Area of parallelogram = Base × Height

Area of 1 parallelogram = 12 cm × 8 cm = 96 cm²

Now, there are 6 parallelogram shaped sections.

So, area of the sections = area of 1 section × total number of sections

∴ Area of 6 sections = 96 cm² × 6 = 576 cm²

Therefore, the total area of the sections of a suncatcher is 576 cm².

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