Find the volume of the pyramid shown. L=4 W=5 H=6
1 answer:
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Answer:
y=7/3x²-13/3x+2
Step-by-step explanation:
<u>Determine the value of c:</u>
y=ax²+bx+c
2=a(0)²+b(0)+c
2=c
<u>Substitute (1,0) into the quadratic and create an equation with a and b:</u>
y=ax²+bx+2
0=a(1)²+b(1)+2
0=a+b+2
-2=a+b
<u>Do the same with (3,10) to get a second equation:</u>
y=ax²+bx+2
10=a(3)²+b(3)+2
10=9a+3b+2
8=9a+3b
<u>Set the two equations equal to each other and solve for a and b:</u>
-2=a+b
8=9a+3b
<u>Multiply first equation by 3 and eliminate b to find a:</u>
-6=3a+3b
- (8=9a+3b)
_______
-14=-6a
14/6=a
7/3=a
<u>Substitute 7/3=a into the first equation:</u>
-2=7/3+b
-2-(7/3)=b
-13/3=b
<u>Final equation:</u>
y=7/3x²-13/3x+2
See the graph for a visual representation
Hello there! :)
<em><u>Answer:</u></em>
<em><u>=33p+58x</u></em>
<em><u>*The answer must have a positive sign.*</u></em>
Step-by-step explanation:
Distributive property: a(b+c)=ab+ac
First, expanded form. Then you can also multiply from left too right.
Next, rewrite the problem down.
And finally, you add by the similar elements. Then you add by the numbers too.
Final answer: →
Hope this helps!
Thanks!
Have a great day!
-Charlie
:)
:D