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MAVERICK [17]
3 years ago
5

Find the surface area of the prism​

Mathematics
1 answer:
AfilCa [17]3 years ago
4 0

Answer:

156 in^2

Step-by-step explanation:

find the areas of all the faces and add them up

area of a rectangle: bh

area of a trapezoid: \frac{1}{2} (b_1 + b_2)(h)

(5*3)+(6*3)+(5*3)+(3*12)+2(\frac{1}{2}*(6+12)*4) \\=15+18+15+36+2(\frac{1}{2}*18*4)\\=84+2(36)\\=156

the area of the trapezoid is multiplied by 2 because there's a top and bottom

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Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.
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Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b)  f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

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I'll reorder it

 f(x+2)= x^2+4x+6x+12+2+4

    f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0
2 years ago
In the diagram, the length of segment QV is 15 units.
Andrews [41]

Answer:

The answer is 15 units.

Step-by-step explanation:

The reason it is 15 units is because  We know that QV = 15 and TQ = TS, QV = SV;4 x - 1 = 154 x = 15 + 14 x = 16x = 16 : 4 = 4 henceforth the answer being 15 units

6 0
3 years ago
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OlgaM077 [116]

Answer:

10 by 5 =50

10 by 5=50

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10 by 2=20

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2 by 5=10

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3 0
3 years ago
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patriot [66]

Answer:

circle

Step-by-step explanation:

The equation

x² + y² = r²

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x² + y² = 25 ← is in this form and

is a circle centre (0, 0) with r = 5

7 0
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WILL GIVE BRAINLIEST!!!
tamaranim1 [39]

Answer:

The correct answer is D

Step-by-step explanation:

6 0
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