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zimovet [89]
3 years ago
13

A sinusoidal graph has a maximum at the point (–40, 3) and a midline of y = – 12. Determine the amplitude of the graph.

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0
The amplitude of y=sin(x) is 1 with a maximum of y=1 and minimum of y=-1.It’s amplitude is 1 because that is the distance the max (y=1)is from the mid line (y=0)or the distance the min (y=-1) is from the mid line (y=0).
Ainat [17]3 years ago
3 0

Answer:

15

Step-by-step explanation:

The amplitude of y=sin(x) is 1 with a maximum of y=1 and a minimum of y=-1. It's amplitude is 1 because that is the distance the max( y=1 )is from the mid line (y=0) or the distance the min( y=-1 ) is from the mid line (y=0).

So we just need to find the distance the mid line, y=-12, and the max,y= 3, is from each other.

3--12=3+12=15

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What is an equation of the line that passes through the points (5,5) and (-5,-7)?
tatyana61 [14]

Answer:

y=6/5x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-5)/(-5-5)

m=-12/-10

simplify

m=6/5

y-y1=m(x-x1)

y-5=6/5(x-5)

y=6/5x-30/5+5

y=6/5x-6+5

y=6/5x-1

7 0
4 years ago
Factor the trinomial completely <br>x^2+3x-40=□
Norma-Jean [14]
(x-5)(x+8) is your answer!

6 0
3 years ago
You want to install a 1 yard wide sidewalk around a circular swimming pool. The diameter of the pool is 20 yards. What is the di
Aleksandr-060686 [28]

Answer:

42pi or 131.95 yards

Step-by-step explanation:

circumfrence of a circle is 2*pi*r

since you added a side wall 1 yard wide you increase the radius of the circle by one yard

so 2*pi*21= 42pi or 131.95 yards

3 0
3 years ago
F(t)=t^2-3t<br> g(t)=2t+1<br> find f(g(t))
statuscvo [17]

Answer:

f (2t + 1) = 4t^{2} - 2t - 2

7 0
2 years ago
The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
liraira [26]

we know that

The LCD is the LCM (least common multiple) of all the denominators.

we have

1/3, 3/4, 5/32, 8/9

3=3^{1} \\ 4=2^{2} \\ 32=2^{5} \\ 9=3^{2}

LCM=2^{5} *3^{2} \\ LCM=32*9\\ LCM=288

So

The LCM of 3, 4, 32, 9 is 288 ,

which is the multiple of the highest power of prime factors from all of the given numbers

therefore

the answer is

288

8 0
3 years ago
Read 2 more answers
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