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3 years ago

Find the start and end coordinates of y=2 sin x.

Mathematics

1 answer:

Fiesta28 [93]3 years ago

3 0

Answer:

Step-by-step explanation:

when x=0

y=2 sin 0=2×0=0

when x=π/2

y=2×sin (π/2)=2×1=2

when x=π

y=2 sin π=2×0=0

when x=3π/2

y=2 sin (3π/2)=2×-1=-2

when x=2π

y=2 sin (2π)=2×1=2

$if ~0\leq x\leq 2\pi \\initial ~point~is ~(0,2)\\end~point~is ~(2\pi ,0)$

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If the ratio of side lengths of similar polygons is 6:11, what is the ratio of perimeters

algol13

Answer:

6 : 11

Step-by-step explanation:

the ratio 6 : 11 applies to all linear measure in the similar polygons

Both side lengths and perimeter are linear, hence

ratio of both is 6 : 11

8 0

3 years ago

Carmen is a professor at a local university. In collecting data on her Introduction to Business course for a year, she wants to

AVprozaik [17]

Answer:

$\boxed {\boxed {\sf z=2.2}}$

Step-by-step explanation:

The z-score tells us how many standard deviations a value is away from the mean.

The formula is:

$z=\frac{x- \overline{x}}{s}$

where x is the value, $\overline {x}$ is the mean, and s is the standard deviation.

We want to find the z-score for the score of an 83, the mean is 72, and the standard deviation is 5.

$x=83 \\\overline {x}= 72 \\s=5$

Substitute the values into the formula.

$z=\frac{83-72}{5}$

Solve the numerator.

$z=\frac{11}{5}$

Divide.

$z=2.2$

The z-score is 2.2, which means the score of 83 is 2.2 standard deviations above the mean.

3 0

3 years ago

If the graphs of the equations in a system of linear equations coincide with each other, what does that tell you about the solut

salantis [7]

If by "coincide", in other words this is also known as intersect, it means that the solution to the system is that intersection point. For instance, if the intersection point of the 2 lines is (5,7) on the graph, it means that in both equations, x = 5 and y = 7. If you mean that the 2 equations result in the same line, it means that the 2 equations were really equal, but that one could be basic to be identical with the other. For example, if you have 2x + 2y = 8 and 4x + 4y = 16, they will give you the same line, and you can see that if you divide that second equation by 2 all the way crossways, it merely shows the first equation.

3 0

3 years ago

PLS HELP ILL GIVE BRAINLIEST

inysia [295]

<h3>Answer: 14x - 8</h3>

=======================================================

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

a = 12
b = -11
c = -5

This leads to...

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}$

Now use those roots to form these steps

$x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0$

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

L = length = 4x-5
W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0

2 years ago

A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?

PilotLPTM [1.2K]

Answer:

518

i don't know if this needs much explaining.

3 0

2 years ago

Read 2 more answers