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NeTakaya
3 years ago
13

FIND THE AREA OF THE SHADED REGION. SHOW ALL YOUR WORK.

Mathematics
2 answers:
RideAnS [48]3 years ago
6 0
The teachers this is commonly known as a doughnut problem. Basically you find the area of the large trays and subtract the area of the small shape.

Lg. Rectangle. Sm. Rectangle
A = lw. A=lw
A=(3x - 4)(2x + 2) A=(x - 3)(x - 6). Use FOIL on each
A = 6x^2 + 6x - 8x -8 A=x^2 - 6x - 3x + 18. Combine like terms
A = 6x^2 - 2x - 8. A=x^2 - 9x + 18. Subtract rectangles to find area of shaded region
A = 6x^2 -2x - 8 - (x^2 - 9x + 18) Distribute the negative into the parenthesis (multiply each term by -1)
A = 6x^2 - 2x - 8 - x^2 + 9x -18. Combine like terms
A = 5x^2 + 7x - 26. <— answer
erik [133]3 years ago
3 0

Answer:

he area that is un-shaded is (x-3)(x-6).

The entire area is (2x+2)(3x-4).

Area of the shaded region is:

(2x+2)(3x-4) - (x-3)(x-6) =

(6x2-2x-8) - (x2-9x+18) =

6x2-2x-8-x2+9x-18 =

5x2+7x-26 hopes this help btw (;

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Solve forx<br><br> A-15°<br> B-75°<br> C-90°<br> D-165°
SIZIF [17.4K]

Answer:

10.94 triangle

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The graph of y= sin (x-3pi/2) is the graph of the y = sin(x) shifted in which direction?
Nutka1998 [239]

Answer:

y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

Step-by-step explanation:

The given function is

y=\sin(x-\frac{3\pi}{2})

The base function of this trigonometric function is y=\sin x

In general, the transformation y=\sin(x-k) will shift the graph of the base function, y=\sin x, k units to the right.

Therefore, y=\sin(x-\frac{3\pi}{2}) is the graph of  y=\sin x shifted to the right by \frac{3\pi}{2} units.

4 0
3 years ago
Read 2 more answers
12. Simplify:<br> 5x + 3y - 2y + 3xy + 5xy - 10x
Serggg [28]

Hey there!

\textsf{5x + 3y - 2y + 3xy + 5xy - 10x}

\textsf{Combine like terms}

\textsf{(5x - 10x) + (3y - 2y) + (3xy + 5xy)}\\\mathsf{5x - 10x = -5x}\\\mathsf{3y - 2y = 1y}\\\mathsf{3xy + 5xy= 8xy}\\\boxed{\boxed{\mathsf{Answer: \bf{8xy-5x+y}}}}\huge\checkmark

\textsf{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

5 0
3 years ago
21 - 3 + 8 or -14 + 31 - 6
sergejj [24]

Answer:21-3+8=26

-14+31-6=11

Step-by-step explanation:

3 0
3 years ago
Find the surface area of the prism.
Maurinko [17]

Answer:

326m²

Step-by-step explanation:

Find the area of each side and find the total sum from each individual area:

2(15*4)+2(7*4)+2(7*15)=2(60)+2(28)+2(105)=2(163)=326

So the surface area of the prism is 326m²

5 0
2 years ago
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