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lozanna [386]
3 years ago
11

What is the amplitude, period, and phase shift of f(x) = −4 sin(2x + π) − 5?. .

Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

Answer:

Amplitude = 4; period = π; phase shift: x = negative pi over two

Step-by-step explanation:

In this problem you have to use the form <em>a sin (bx-c)+d </em>to find the amplitude, period, and phase shift.

Amplitude:4

Period : π

Phase shift: -\frac{\pi }{2}

I hope this helped! Have an amazing day :)

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the diameter of joseph bicycle wheel is 28 in Find the circumference of the circle to the nearest tenth use 3.14 for \pi
yKpoI14uk [10]

Answer:

The circumference of the circle to the nearest tenth is 87.9

Step-by-step explanation:

In order to find the circumference using the diameter, you multiply the diameter times pi which is 3.14. 28*3.14 equals 87.92 which rounded to the nearest tenth is 87.9.

8 0
3 years ago
How to find if a triangle is acute or obtuse with side lengths?
elena55 [62]
You would have to determine if<span> the following </span>lengths<span> make an </span>acute<span>, right or </span>obtuse triangle<span>. Plug in each set of </span>lengths<span> into the Pythagorean Theorem.</span>
8 0
3 years ago
Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final a
vlabodo [156]

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

6 0
3 years ago
A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank
Varvara68 [4.7K]

Answer:

2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : \pi 10^{2} = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2\pi10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = 2036.75088022^{2} or 2036.8^{2} rounded to the nearest tenth

6 0
3 years ago
2(x+1) please do full steps and answer thank you i will give brainlist
alisha [4.7K]

Distribute the parentheses:

2(x + 1)

2 · x = 2x

2 · 1 = 2

2(x + 1) = 2x + 2

7 0
3 years ago
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