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Vlad1618 [11]
2 years ago
13

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value

of this function?
−2


5


5 square root of 29 over 29


negative 2 square root of 29 over 29
Mathematics
1 answer:
Ivenika [448]2 years ago
6 0

Answer:

The last choice is your answer

Step-by-step explanation:

Plot your point in an x/y coordinate plane.  We are in QII where x is negative and y is positive.  From that point, if you drop an altitude to the negative x axis, you have a right triangle with a base measure of -2, a height of 5 and a hypotenuse that is unknown as of right now.  We will find it using Pythagorean's Theorem.  5^2+(-2)^2=c^2

The length of the hypotenuse is √29.  That means that the cosine of that angle is the side adjacent over the hypotenuse.  Rationalizing the denominator gives us -\frac{2\sqrt{29} }{29}

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Answer:

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Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. a
ddd [48]

The formula for distance is equal to:

d = v * t

where d is distance, v is velocity or speed, and t is time

 

Since the distance travelled by the two airplane is similar, therefore we can create the initial equation:

 

v1 * t1 = v2 * t2

 

We know that v1 = 496, and v2 = 558 so:

 

496 t1 = 558 t2

or

x = 558 t2 / 496

 

We also know that airplane 1 travelled 30 minutes (0.5 hours) earlier than airplane 2, therefore:

 

x = t2 + 0.5

 

Hence,

496 (t2 + 0.5) = 558 t2

496 t2 + 248 = 558 t2

t2 = 4 hours

 

x = t2 + 0.5 = 4 + 0.5

x = 4.5 hours

 

 

So the equation is:

x = 558 t2 / 496

 

And the first plane travelled:

x = 4.5 hours

5 0
2 years ago
The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).
NARA [144]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Y=x² + 16x + 64
motikmotik

I'll do the first one to get you started

The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64

Compare that to y = ax^2+bx+c and we see that

a = 1

b = 16

c = 64

Use the values of 'a' and b to get the value of h as shown below

h = -b/(2a)

h = -16/(2*1)

h = -8

This is the x coordinate of the vertex.

Plug this x value into the original equation to find the corresponding y value of the vertex.

y = x^2+16x+64

y = (-8)^2 + 16(-8) + 64

y = 0

Since the y coordinate of the vertex is 0, this means k = 0.

The vertex is (h,k) = (-8, 0)

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

So we found that a = 1, h = -8 and k = 0

Therefore,

f(x) = a(x-h)^2 + k

f(x) = 1(x-(-8))^2 + 0

f(x) = (x+8)^2

is the vertex form

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

<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
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3 years ago
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here is the process hope it helps you

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