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Sholpan [36]
3 years ago
12

Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined are

a A of the picture and the frame?
A. A(x)=x^2+20x+96
B. A(x)=x^2+40x+96
C. A(x)=4x^2+20x+96
D. A(x)=4x^2+40x+96
Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

Step-by-step explanation:

Total dimensions = (12+2x) inches by (8+2x) inches

A = (12+2x)(8+2x) = 4x² + 40x + 96

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Answer:

Step-by-step explanation:

ax+bx-15=0\\=> (a+b)x-15=0\\=>(a+b)x=15\\=>x=\frac{15}{(a+b)}

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2 years ago
If w = -2 and v = -8, which of the following expressions shows the values correctly substituted in for the variables in the expr
Ahat [919]

Answer:

<em>(-2)2 - (-8) + 1</em>

Step-by-step explanation:

When you substitute values into an algebraic equation, you need to input the values exactly how they are given. "w" must go where there are "w"s, and "v" must go where the "v"s are, otherwise you will get an incorrect answer. All values must also carry over their signs--they are one unit--and must be inserted as such, which is why - (-8) is correct, but not - (8) or - 8. (This is because those two negatives will cancel each other out and become +8 when solving). The parenthesis around the values are important because they protect the original values of the variables, which is why (-2)2 is correct. In the case of (-2)2, it also signifies that they are "attached" by multiplication, and when solving would become -4. Without signifying that the variables are separate from the rest of the equation via the parenthesis, it becomes very easy to solve it incorrectly.

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2 years ago
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Step-by-step explanation:

Substitute and solve

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3 years ago
Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha
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Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

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Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

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List out the common angles

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\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

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2 years ago
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