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stira [4]
3 years ago
9

Can someone help me plzzzzzz

Mathematics
1 answer:
Alex3 years ago
5 0
Big rectangle
3x-4 (2x+2) = 6x^2-8x+6x-8
=6x^2-2x-8 = 3x^2-x-4

Small rectangle
(X-3) (x-6) = x^2-3x-6x+18
=x^2-9x+18

Big-small= 2x^2+8x-22 is the area of the shaded region
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Enter the correct answer in the box. Write the factored form of the least common denominator needed to simplify this expression.
Dennis_Churaev [7]

Answer:

(g+5)x(g-3)

Step-by-step explanation:

Edmentum/PLATO answer:

Rewrite the expression:

g+1/g^2+5g-3g-15 + g+3/g+5

Factor out g from expression:

g+1/gx(g+5)-3g-15 + g+3/g+5

Factor out g+5:

g+1/(g+5)x(g-3) + g+3/g+5

Least common denominator: (g+5)x(g-3)

8 0
3 years ago
Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs
elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is d = \sqrt{l^{2} + w^{2} + h^{2} }. Let's put in those numbers:

d = \sqrt{32^{2} + 24^{2} + 9^{2} } =  41

Therefore, the support is 41 inches long.

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

Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c

Again, the support is 41 inches long.

4 0
4 years ago
How many triangles are there?
Thepotemich [5.8K]

Answer:

20

Steps-by-step explanation:

sorry mistake

8 0
2 years ago
Read 2 more answers
The measure of the supplement of an angle is three times the measure of the
gtnhenbr [62]
<h2>Answer:</h2>

<h3><em>x=45degrees</em></h3>

<h2>Step-by-step explanation:</h2>

Let the angle to be solved be x

Let the supplement/compliment by y

x+y=90 Complimentary angles add up to 90 degrees.

x+3y=180 Supplementary angles add up to 180 degrees, the other angle is thrice the other compliment.

Evaluating this as a system:

x+y=90 Isolate x:

x=90−y Input into the other equation:

(90−y)+3y=180 Combine like terms, isolate y and its coefficients:

2y=90 Isolate y

y=45 Input into the first equation:

x+45=90 Isolate x:

x=45degrees

5 0
3 years ago
Help me please owo due today​
Allushta [10]

Answer:

the area of the mat = total area added minus the original area of the water color painting.

length of the mat is:

L = 21 in + 3 in + 3 in because 3 in  is added to each side

L = 27 inwidth of the mat is:w = 11 in + 3 in + 3 inw = 17in

Area mat = (27 in x 17 in) - ( 21 in x 27 in)

area mat = 108 sq in is the area of the mat

4 0
3 years ago
Read 2 more answers
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