$1040.00
______________________________________________
Raphael paid $624
624/.60= 1040.00
Answer:
-10 is the correct answer to the given question .
Step-by-step explanation:
Missing information:
Following question is incomplete there is no information about the vertices and the rules .Following are the complete question that is mention below
Triangle PQR has vertices 
It is translated according to the rule 
. What is the y-value of P'?
Now coming to the solution as already mention in the question
The translated rule is 
Now calculated the vertices P value according to the rule of translated
So -10 is the value of y in P vertices .
We can use the vertex form of a quadratic,
, to find that
. Plugging
ordered pairs into g(x), we see that a = 1. For example, for
,
. Solving for a gives 1.
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
