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1 year ago

Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below.

Mathematics

2 answers:

kakasveta [241]1 year ago

4 0

we conclude that the graphed equation is:

y = 4*cos(pi*x)

<h3></h3><h3>Which trigonometric equation is the one in the graph?</h3>

First, we can see that the graphed function is even, so we know that it wiill be a cosine.

We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.

Then we have something like:

y = 4*cos(b*x)

To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2

Then:

b*1/2 = pi/2

b = pi

Finally, we conclude that the graphed equation is:

y = 4*cos(pi*x)

If you want to learn more about trigonometric equations:

brainly.com/question/8120556

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Dimas [21]1 year ago

3 0

The trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

<h3>How to Interpret a Trigonometric Graph?</h3>

From the trigonometric general form of y = a sin bx, we can say that;

a is amplitude

period = 2π/b

Now, from the graph it is clear that the amplitude is 4 because that is the highest and also lowest point of the curve. Thus, a = 4

Now, the period of the graph will be 2 because from definition of period of a trigonometric graph function we can see that period = 2.

Thus, our trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

Read more about Trigonometric Graph at; brainly.com/question/22068269

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the area of a triangle is 124 square units. what would it's new area be if its base was half as long and its height was three ti

Montano1993 [528]

To solve this problem you must apply the proccedure shown below:

1. You have that the formula for calculate the area of a triangle is:

A=bh/2

Where A is the area of the triangle, b is the base of the triangle and h is the height of the triangle.

bh/2=124
bh=124x2
bh=248

2. The problem asks for the new area of the triangle <span>if its base was half as long and its height was three times as long. Then, you have:

Base=b/2
Height=3h

3. Therefore, when you substitute this into the formula for calculate the area of a triangle, you obtain:

A'=bh/2

(A' is the new area)

A'=(b/2)(3)/2
A'=3bh/4

4. When you substitute bh=248 into </span>A'=3bh/4, you obtain:
<span>
A'=186 units</span>²
<span>
The answer is: </span>186 units²

3 0

3 years ago

Suppose you are determining the growth rate of two species of plants. Species A ls 25 cm tall and grows 3 cm per month. Species

exis [7]

Answer: Last Option

$H (m) = 25 + 3m\\H (m) = 10 + 8m$

Step-by-step explanation:

The initial height of the plant of species A is 25 cm and grows 3 centimeters per month.

If m represents the number of months elapsed then the equation for the height of the plant of species A is:

$H (m) = 25 + 3m$

For species B the initial height is 10 cm and it grows 8 cm each month

If m represents the number of months elapsed then the equation for the height of the plant of species B is:

$H (m) = 10 + 8m$

Finally, the system of equations is:

$H (m) = 25 + 3m\\H (m) = 10 + 8m$

The answer is the last option

8 0

3 years ago

The line AB has midpoint (2,5).<br> A has coordinates (1, 2).<br> Find the coordinates of B.

Gekata [30.6K]

Answer:

$X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

Step-by-step explanation:

For this case we know that the midpoint for the segment AB is (2,5)

And we know that the coordinates of A are (1,2)

We know that for a given segment the formulas in order to find the midpoint are given by:

$X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2$

And we can solve for $B_x$ and we got:

$1+B_x = 4$

$B_x = 3$

$Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5$

And we can solve for $B_x$ and we got:

$2+B_y = 10$

$B_y = 8$

So then the coordinates for B are (3,8)

7 0

3 years ago

1/3 (x + 4 ) = 20 wt the answer

sashaice [31]

Answer:

x = 56

Step-by-step explanation:

To start, distribute the 1/3 onto the x and the 4 in the parenthesis. That leaves you with

1/3x + 4/3 = 20

We want the x value by itself so we're going to subtract the 4/3 from the left and the right side, leaving us with

1/3x + 4/3 = 20 - 4/3

1/3x = 18 & 2/3 (since we're dealing with fractions, I'm going to change the 18 & 2/3 into an improper fraction just to make the next step easier.)

1/3x = 56/3

The last step is to divide the 1/3 off of the x, so x is by itself. To divide a fraction by a fraction, just flip the fraction you're dividing with and multiply.

56/3 x 3/1 = 56 (56 x 3 is 168, and 3 x 1 is 3, so when you reduce 168/3, you get 56)

So, 56 is our answer, because after dividing off the 1/3, we're left with x = 56

3 0

3 years ago

What is the cube root of 27 in radical notation

vitfil [10]

Answer: hi im mongraal

Step-by-step explanation:

In mathematics, a cube root of a number x is a number y such that y³ = x. All nonzero real numbers, have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted ³√8, is 2, because 2³ = 8, while the other cube roots of 8 are −1 + √3i and −1 − √3i. The three cube roots of −27i are 3i, 3√(3)/2-3/2i, and -3√(3)/2-3/2i.

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3 years ago

Read 2 more answers