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3 years ago

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Mathematics

1 answer:

Leviafan [203]3 years ago

8 0

Answer:

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WILL MARK THE BRAINLIEST!! What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?

xxMikexx [17]

Answer:

Step-by-step explanation:

Amplitude is twice the coefficent of the sine function. In this case, $2*2=4$

Period is $2\pi$ divided by the coefficent of x, in this case, $\frac {2\pi} 1 =2\pi$

Phase shift, is how much you sum or subctract from x inside the sine, in this case $\pi$ .

Midline you get by hiding the sine and reading what's left, in this case, -4.

3 0

4 years ago

what is the volume of the cone? use 3.14 for pi and round to the nearest hundredth. do not enter units

Free_Kalibri [48]

Answer:

Volume = PI * radius^2 * height / 3

Volume = PI * 9^2 * 6 / 3

Volume = 3.14 * 162

Volume = 508.68

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

6 0

3 years ago

The vertex of a parabola is at (6,5), and its axis of symmetry is vertical. One of the x-intercepts is at (8, 0). What is the x-

Elena-2011 [213]

Answer:

$x=4$

Step-by-step explanation:

Vertex form of the quadratic equation: $f(x) = a(x - h)^2+k$

where the vertex is $(h, k)$

Given vertex = (6, 5):

$\implies f(x) = a(x - 6)^2+5$

If one the x-intercepts is (8, 0):

$\implies f(8) =0$

$\implies a(8 - 6)^2+5=0$

$\implies 4a+5=0$

$\implies a=-\dfrac{5}{4}$

Therefore, equation of parabola:

$\implies f(x) = -\dfrac54(x - 6)^2+5$

x-intercepts occur when f(x) = 0:

$\implies f(x)=0$

$\implies -\dfrac54(x - 6)^2+5=0$

$\implies -\dfrac54(x - 6)^2=-5$

$\implies (x - 6)^2=4$

$\implies x-6=\pm 2$

$\implies x=8, x=4$

Therefore, the x-coordinate of the other x-intercept is 4.

5 0

2 years ago

HELPPPPPP MEEEE!! A deep-sea diver found an amazing reef 15 kilometers below sea level. What integer would represent this situat

Leviafan [203]

Answer:

-15

Step-by-step explanation:

Sea-level can be seen as 0 on a number line. The Diver is going below the sea-level, so think of this as him going below the number zero, into the negatives. He is going down 15km, so -15km would represent the integer (whole number) that you're looking for.

3 0

3 years ago

In 2 years, I will be twice as old as I was 5 years ago. My little brother is 3 years younger than I am. Our baby sister is 2 ye

beks73 [17]

Answer:

Step-by-step explanation:

let my present age=x

then 2(x-5)=x+2

2x-10=x+2

2x-x=2+10

x=12

my age=12 years

age of brother =12-3=9 years

age of sister= 9-2=7 years.

7 0

3 years ago