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KatRina [158]
3 years ago
14

Find the surface area of the prism.

Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

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7 0
3 years ago
Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11
brilliants [131]

Answer:

46 and 277

Step-by-step explanation:

Given

f(x) = x^{4} - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) = 3^{4} - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) = (-4)^{4} - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277

4 0
3 years ago
Which is log x+ 6 log(x+7) written as a single logarithm.
Elina [12.6K]

Answer: option d.

Step-by-step explanation:

 To solve this problem you must keep on mind the properties of logarithms:

log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

5logx+6log(x+7)=logx^5+log(x+7)^6=logx^5(x+7)^6

Then, the answer is the option d.

4 0
3 years ago
Read 2 more answers
X^2+y^2+14x+10y=7 <br> center and radius
Sholpan [36]
(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-the\ coordinates\ of\ the\ center\\r-the\ radius\\\\==================================\\Use:(k+l)^2=k^2+2kl+l^2\ (*)\\==================================

x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

Answer:\\\boxed{(-7;-5)-center;\ 9-radius}
8 0
3 years ago
Read 2 more answers
15 one half subtracted by 3 wholes and seventh eights
FromTheMoon [43]
15 and one half is 31/2. 3 and seven eighths is 31/8. 31/2 also equals 124/8. Then the answer is 124/8 - 31/8 is 91/8. Hope that helped.
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3 years ago
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