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3 years ago

For each ordered pair, determine whether it is a solution to y=6.

Mathematics

1 answer:

Darya [45]3 years ago

4 0

Answer:

yes

if their is a 6 in the y spot of the coordinate than it is a yes

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Can you please answer this question

tamaranim1 [39]

$3tan^{2} \theta +7sec\theta=3$
First I converted the equation terms into sine and cosine.
$tan^{2}\theta = \frac{sin^{2}\theta}{cos^{2}\theta}$ and $sec\theta= \frac{1}{cos\theta}$
Substitution:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7}{cos\theta} =3$
Common Denominator Created:
$\frac{3sin^2\theta}{cos^2\theta} + \frac{7cos\theta}{cos^2\theta} =3$
Multiply each term by the LCD:
$3sin^2\theta+7cos\theta=3cos^2\theta$
Substitution: Recall ⇒ $sin^2\theta =1-cos^2\theta$
$3(1-cos^2\theta)+7cos\theta=3cos^2\theta$
Distribute and collect all terms on one side:
$6cos^2\theta-7cos\theta-3=0$
Factor and set each factor equal to 0:
$(2cos\theta-3)(3cos\theta+1)=0$
$2cos\theta-3=0$ ⇒ $theta=cos^{-1} \frac{3}{2}$
$3cos\theta+1=0$ ⇒ $theta=cos^{-1} \frac{-1}{3}$
The 2nd factor provides only possible answer 109.5 degrees

4 0

3 years ago

Claire is 12 years old. Her brother roger is 4 years old, and their mother is 36 years old. Which fraction shows the ratio of Cl

ki77a [65]

Answer:

D.) 1/3

Step-by-step solution:

12/36 can be simplified to 1/3.

5 0

3 years ago

Read 2 more answers

A) 90 clockwise

nydimaria [60]

Answer:

A.) 90 clockwise

E.)270 Counter Clockwise

Step-by-step explanation:

A.) Ro, -90 Rotation about the origin (0,0) 90° clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

E.) Ro, 270 Counter Clockwise

(x, y) ⇒ (y, -x)

(-1, 5) ⇒ (5, 1)

6 0

3 years ago

2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step

Nutka1998 [239]

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6 7/2=21/6 5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

8 0

3 years ago

Read 2 more answers

You are a real estate agent with ABC Real Estate company. You help sell a home for $155,000. The total commission is 6.5%. Your

gtnhenbr [62]

Answer:

$3,929.25.

Step-by-step explanation:

First, calculate the total commission. That's found by multiplying the selling price ($155,000) by 0.065. The result: The total commission is $10,075.

Your company receives 60% of that. So we multiply $10,075 by 0.60, obtaining $6,045.

Your share of the commission is 65% of that, so we multiply $6,045 by 0.65:

0.65($6,045) = $3,929.25.

Your personal share of the commission is thus $3,929.25.

4 0

4 years ago