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Alecsey [184]
3 years ago
7

The diagram below shows the measurements of two identical rectangular prisms joined together. Austin says the combined volume of

the prisms is 225 cubic meters. Explain Austin’s error and give the correct volume.
Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

450 cubic meters

Step-by-step explanation:

  1. ( 15 X 5 X 3) + ( 15 x 5 x 3)
  2. 225 + 225
  3. 450 cubic meters

Austin didn't add the 2 prisms, he multiplied the 1st prism and kept it as the answer.  

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sukhopar [10]

Answer:

A) (-5, -34)

Step-by-step explanation:

f(x) = x^2 + 10x - 9

We complete the square to get the equation in vertex form

Take the coefficient of the x term and divide by 2 then square it.  We add it and then subtract it not to change the value of the equation

f(x) = x^2 + 10x +(10/2)^2 - (10/2)^2 - 9

f(x) = x^2 +10x +25 -25 -9

f(x) = (x^2 +10x +25) -34

The term in parentheses simplified to (x+10/2) ^2

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   = (x - -5)^2 -34

This is in the form (x-h)^2 +k

The vertex is (h,k)  h=-5 and k=-34

(-5,-34)

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2 years ago
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Answer:

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