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Kipish [7]
2 years ago
9

Select the correct answer.

Mathematics
1 answer:
ratelena [41]2 years ago
5 0

Answer:

A.x(x+12) -7(x+12)

Step-by-step explanation:

Factoring is the process of taking common terms out of an expression such that one can represent the expression as the result of smaller values. When given the following expression:

x^2 +5x - 84

First, represent the linear term as the sum of two terms such that each term shares a common factor with the other terms in the expression.

x^2 +12x - 7x - 84

Now take out the common factors,

x(x+12) -7(x+12)

Thus, the correct option is choice (A).

You might be interested in
I need help is for geometry
emmainna [20.7K]
Answers:
mAE = 78°
mABD = 206°
mDA = 154°
mBCE = 255°
mECA = 282°
--------------------------------------------
Explanation:
The total arc measure of a circle is 360.

This circle shows that mDE has the same arc as mDC. mDC's arc will equal 76.

To find mAE, add all the known arc values, set mAE to x, and set the equation equal to 360.

27 + 103 + 76 + 76 + x = 360

Combine all like terms.

27 + 103 = 130
76 + 76 = 152
130 + 152 = 282

282 + x = 360

Subtract 360 from both sides to get x by itself.

x = 78

The arc measure of mAE is 78.


Now we can find all of the arc values.

mAE = 78°

mABD = measure of mAB + mBD
27 + (103 + 76) = 27 + 179 = 206

mABD = 206°

mDA = mDE + mEA

76 + 78 = 154

mDA = 154°

mBCE = mBC + mCD + mDE

103 + 76 + 76 = 179 + 76 = 255

mBCE = 255°

mECA = mED + mDC + mCB + mBA

76 + 76 + 103 + 27 = 152 + 130 = 282

mECA = 282°
6 0
3 years ago
Will expand and fill the container into which it is placed
Rashid [163]
What is the question?
6 0
3 years ago
a social worker is paid $264 to conduct an initial home site visit. how much does the worker earn for 8 intial site visits
Paul [167]

Answer:

its 264 times 8 so the answer is 2112

3 0
3 years ago
Read 2 more answers
Alex has a small notebook that is shaped like a rectangle . She knows one side is 6 cm and another side is 4 cm .Explain how to
gayaneshka [121]

Answer:

20 cm

Step-by-step explanation:

Since it is a rectangle, we know that there are two pairs of sides the same length. All we have to do is add each number by itself, and add those numbers together, or you can envision it like this graph I made.

4+4=8

6+6=12

8+12=20

5 0
3 years ago
A rectangular bird sanctuary is being created with one side along a straight riverbank. the remaining three sides are to be encl
Mariana [72]
<span>2 km wide by 4 km long with the long side parallel to the river. So we can enclose a rectangular area using just 3 sides since the 4th side is provided free by the river. I'll use the variable L to represent the length of the side that's parallel to the river and W to represent the distance from the river that parallel side is. So the total perimeter of the fence will be 2W + L. Let's write down some equations. Area enclosed A = W * L Length of L expressed in terms of W 8 = 2W + L 8 - 2W = L Now substitute (8-2W) for L in the equation for the area. A = W * L A = W * (8-2W) A = 8W - 2W^2 Since we're looking for a maximum value, that will happen when the slope of the function is equal to 0. And the first derivative of the function tells you the slope at each point. So we need to calculate the first derivative. For simple functions such as what we have, we just need to multiply the coefficient of each term by the exponent of that term, then subtract 1 from the exponent. So let's calculate the first derivative of A = 8W - 2W^2 A = 8W - 2W^2 The term 8W has an implied exponent of 1 for W, so 8 * 1 = 8. And 1 - 1 = 0. So we have 8W^0. And since W^0 = 1, we have 8 as the 1st term of the derivative. The next term is -2W^2. So -2*2 = -4 and 2-1 = 1, giving us -4W^1. And we can get rid of the explicit exponent of 1 since that's assumed to exist giving us a term of -4W. So the first derivative becomes A' = 8 - 4W Now let's solve that equation for A' = 0. A' = 8 - 4W 0 = 8 - 4W 4W = 8 W = 2 So the ideal width of the fence is 2. And looking back at the equation 8 - 2W = L, we can calculate the length as 8 - 2*2 = 8 - 4 = 4, so the length of the fence is 4. So the dimensions of the sanctuary is 4 km parallel to the river and extended 2 km from the river for a total area of 4*2 = 8 km^2. To demonstrate that is the ideal size, let's show that if the width is either smaller or larger, then we'll have a smaller sanctuary. Let's show the smaller case. For this we'll introduce a variable called "e" which represents a very tiny, but non-zero amount of length. So we'll call the width W+e or 2+e and the length will be 8 - 2*(2+e) = 8 - 4 - 2e = 4 - 2e So the area is A = WL A = (2+e)(4-2e) A = 8 -4e + 4e - 2e^2 A = 8 - 2e^2 And as you can see, as long as e is none zero the area will be smaller than 8 km^2. Now let's try a width that's less than 2 by a tiny amount. Our width is now (2-e) and that makes our length (4+2e). So A = WL A = (2-e)(4+2e) A = 8 + 4e -4e - 2e^2 A = 8 - 2e^2 And once again, if the width is slightly smaller so the length is slightly longer, the area is once again, slightly smaller. So the absolute best side for the sanctuary is 2 km wide by 4 km long.</span>
6 0
3 years ago
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