<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.
To solve first move the 98 to the other side by subtracting it from both sides. Then divide by - 1 on both sides to that the x^2 is no longer a negative. You are left with:

Now square root both sides to get

The two factors that make up 98 are 49 and 2. 49 can be square rooted. So we are left with these answers:

and
Answer:
C. y = x² - 6x + 10
Step-by-step explanation:
Formula f(x)=a(x-h)^2+k (h,k) is vertex
Y=a (x-3)^2+1
Plug in y intercept
10=a (0-3)2+1
10=-3^2a+1
10=9a+1
9=9a
A=1
Y=(x-3)2 +1
Y=x2-6x+9+1
Y=x2-6x+10
brainly.com/question/3584775#citedsource
Answer
That should be it!
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Let's solve for b.
−2(bx−5)=16
Step 1: Add -10 to both sides.
−2bx+10+−10=16+−10
−2bx=6
Step 2: Divide both sides by -2x.
−2bx/−2x=6/−2x
b=−3x
Answer:
b=−3x
———————————————————
Let's solve for x.
−2(bx−5)=16
Step 1: Add -10 to both sides.
−2bx+10+−10=16+−10
−2bx=6
Step 2: Divide both sides by -2b.
−2bx/−2b=6/−2b
x=−3b
Answer:
x=−3b
Hope this helps you out