First, let\"s find the point\"s position in the x-y coordinate. Because x is positive and also y is negative, we deserve to place the suggest in the fourth quadrant. You may examine the image so the next measures will be fingerprint as well. Seeing the the foot of the right triangle developed are 16 and also 30, us can use the Pythagorean theorem to fix for the triangle\"s hypotenuse. Hence, we havehypotenuse = √(16² + 30²) = 34Recall that the cosine the a triangle\"s edge is the value of the ratio the the side surrounding to the angle and also the triangle\"s hypotenuse. Or simply, us have
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Which relation is a function?
andrey2020 <161>

medtox.org:

the one the looks favor a V

1. Take it a ruler

2.move it across the graph

3.see if it crosses double

ex:if that is a directly line 보다 it wont work-related if that is choose a V shape it will certainly work


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7 months ago
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The radius that a quarter circle is 3 kilometers. What is the quarter circle\"s area?
ZanzabumX <31>

medtox.org:

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6 0
4 months ago

Find all solutions to the adhering to system the equations -y²+6y+x-9=0 ; 6y=x+27.Illustrate through a graph.

You are watching: For an angle θ with the point (16, −30) on its terminating side, what is the value of cosine?


Dimas <21>

medtox.org:

The solution to the mechanism is the pair (9, 6)

Step-by-step explanation:

Hi!

First, let´s write the device of equations:

-y² + 6y + x -9 = 0

6y = x +27

The services of the mechanism are the bag (x, y) that accomplish both equations.

Let´s take the second equation and also solve it because that x:

6y = x +27

Subtract 27 indigenous both political parties of the equation

6y - 27 = x

Now, we deserve to replace x in the very first equation and solve it because that y:

-y² + 6y + x -9 = 0

-y² + 6y + 6y - 27 -9 = 0

-y² + 12y - 36 = 0

Notice the -y² + 12y - 36 = -(y - 6)², then:

-(y - 6)² = 0

y - 6 = 0

y = 6

(alternatively you can solve the quadratic equation using the quadratic formula).

Now let´s find the worth of x:

x = 6y -27

x = 6·6 -27

x = 9

The solution to the mechanism is the pair (9, 6)

Please view the attached figure. The allude where the curves intersect is the equipment to the system.


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7 months ago
What is the y-intercept of the line whose equation is y=-x-2?
dalvyx <7>

medtox.org:

-2

Step-by-step explanation:

If we have actually an equation that the kind y = mx +b then the y-intercept is b.

So now right here we have actually y =-x - 2. Thus b = -2 and we conclude the y-intercept is -2.


8 0
10 months ago
Read 2 an ext medtox.orgs
What is the loved one maximum value of the role f(x) = –x3 + 6x2 – 9x – 1?
Vlad <161>

medtox.org:

-1.

Step-by-step explanation:

First find the derivative the f(x):

f\"(x) = -3x^2 + 12x - 9 = 0 for a best or minimum.

-3(x^2 - 4x + 3) = 0

(x - 1)(x - 3) = 0

x = 1, 3.

To uncover which offers a family member maximum we discover the 2nd derivative:

f\"(x) = -6x + 12

When x = 1 f\"(x) = 6, positive.

when x = 3, f\"(x) = -6, negative.

So x = 3 gives a maximum value of f(x).

See more: Moises Y Los Diez Mandamientos Capitulo 157, Moisés Y Los Diez Mandamientos Capítulo 157

f(3) = -(3)^3 + 6*(3)^2 - 9(3) - 1 = -1 (medtox.org).


7 0
10 months ago
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