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3 years ago

Match the scenarios to the equations.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

8 0

Answer:

first one is -4+y=20 second is 4+y=-20

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At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be

baherus [9]

Answer:

$x=\frac{\pi}{2}$ and $x=\frac{3\pi}{2}$

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

<em>Note: </em>The identity $cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)$

$cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}$

So they intersect at $x=\frac{\pi}{2}, \frac{3\pi}{2}$

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3 years ago

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This is a two-way table that displays a relative frequency of the rows Make a statement about the chocolate toppings for the stu

Andrej [43]

Answer:

The students that prefer caramel on their ice cream "tend to" not want chocolate.

I hope that helps!

Please mark Branliest!

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3 years ago

Let f(r) = 6,<br> find f-¹(r)

I am Lyosha [343]

There is no answer because there cannot be one to one function inverse.

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2 years ago

the ratio of the length of shantels pool to the length of juan's pool is 3 to 5 shantels pool is 30 meters how long is Juan’s po

love history [14]

Step-by-step explanation:

the ratio of the pool lengths is 3/5.

that means for every 3 meters of length on Shantel's pool, there are 5 meters of length on Juan's pool.

it the other way around : to get to the size of Shantel's pool, every 5 meters of length on Juan's pool are converted to 3 meters.

x = length of Juan's pool

x × 3/5 = 30

3x = 150

x = 50 meters

you see the relationship ?

3/5 = 30/50 = 300/500 = ...

but it is true for any factor

3/5 = 15/25 = 24/40 = 6/10 = ...

once you see the factor for one part of the ratio, you know there is the same factor for the other part (or parts) of the ratio. otherwise the ratio would not stay the same and keep the relationship.

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2 years ago

Which equation can be used to find AB?

kogti [31]

Answer:

cos 42 = 10 / AB

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos theta = adjacent / hypotenuse

cos 42 = 10 / AB

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3 years ago

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