What is the amplitude of y=1/2sin2x
1 answer:
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Perimeter (p) = length around a shape.
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
P = 24 + 4.47 = 28.47
D) 28.472
So any horizontal sides we can add based upon their length in x-values and any vertical sides we can add based upon their length in y-values. The diagonal sides we can find by the distance formula:
So the bottom base goes from x=1 to x=8, then up 1, right 1, and up from y=3 to y=9, then left from x=9 to x=6, down from y=9 to y=6, left from x=6 to x=3.
So far that is: (8-1)+1+1+(9-3)+(9-6)+(9-6)+(6-3)
= 7+2+6+3+3+3 = 24
Now for the diagonal:
P = 24 + 4.47 = 28.47
D) 28.472
Answer:
The area of LQM is
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
Substitute 8 for Area
The area of LPQ is calculated as:
Substitute 16 for Area
From the attachment:
Make LP the subject
So:
We have:
and
Equate both expressions:
Divide both sides by PQ
Multiply both sides by 2
Since PNQ is similar to LNM, the following equivalent ratios exist:
Substitute
Area of LQM is:
This gives:
Recall that:
So:
