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4 years ago

7

Find the correct answer and solve?|y-9|=6

1 answer:

balandron [24]4 years ago

5 0

|y-9|=6

y-9=6
y-9=-6

y=15
y=3

So, y=15,3

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lilavasa [31]

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3 years ago

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Cerrena [4.2K]

Answer:

y= -2x+4

Step-by-step explanation:

To find the slope find 2 points and use "rise/run", that will get -2

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3 years ago

Solve the equation for 0° ≤ x ≤ 90°. Round to the nearest degree. tan^2 B = 4

Anettt [7]

<u>ANSWER</u>

$B=63\degree$

<u>EXPLANATION</u>

We want to solve the trigonometric equation;

$tan^2(B)=4$ , where $0\degree \le B \le 90\degree$ .

Taking square root of both sides gives,

$tan(B)=\pm \sqrt{4}$

$tan(B)=\pm 2$

Since B is in the first quadrant, we proceed with;

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$\Rightarrow B =arctan(2)$

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Correct to the nearest degree,

$B =63\degree$

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3 years ago

Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Roun

beks73 [17]

Answer:

(i) The equivalent coordinates in rectangular form are $(x, y) = (-3.277,-2.294)$ .

(ii) The equivalent coordinates in rectangular form are $(x, y) = (0.866, 0.5)$ .

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

$(x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)$

Where:

$r$ - Norm of vector, dimensionless.

$\theta$ - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ( $r = 4$ , $\theta = 215^{\circ}$ )

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The equivalent coordinates in rectangular form are $(x, y) = (-3.277,-2.294)$ .

(ii) ( $r = 1$ , $\theta = 30^{\circ}$ )

$(x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})$

$(x, y) = (0.866, 0.5)$

The equivalent coordinates in rectangular form are $(x, y) = (0.866, 0.5)$ .

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3 years ago