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True [87]
3 years ago
12

A linear relationship has the point (4, 48) and its rate of change is 12.

Mathematics
1 answer:
Triss [41]3 years ago
5 0

Answer:

0

Step-by-step explanation:

Y-48=12(x-4)

Y= 12x

So the y intercept is 0

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Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta
Kazeer [188]

Answer:

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Step-by-step explanation:

Given: \sin\theta = \dfrac{1}{3}

0\leq \theta \leq \dfrac{\pi}{2}

Theta lie in first quadrant.

Multiply both sides by 2

0\leq 2\theta \leq \pi

2theta lie in I and II quadrant.

\tan2\theta is positive in I and negative in II quadrant.

\sin\theta=\dfrac{1}{3}

\cos\theta=\dfrac{2\sqrt{2}}{3}

\sin2\theta=2\sin\theta\cos\theta

\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}

\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}

\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}

\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

Hence, The value of \tan2\theta=\pm\dfrac{4\sqrt{2}}{7}

5 0
3 years ago
Read 2 more answers
Graph the following exponential functions and determine the y-intercept, domain, range, and
Ne4ueva [31]

The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.

<h3>How to draw the graph of an exponential Function?</h3>

We want to draw the graph of the exponential function;

f(x) = 5(2)ˣ

At input of x = 0, we have;

f(x) = 5(2)⁰ = 5

At input of x = 1, we have;

f(x) = 5(2)¹ = 10

At x = -1, we have;

f(x) = 5(2)⁻¹ = 2.5

At x = -2, we have;

f(x) = 5(2)⁻² = 1.25

Read more about Graph of Exponential Function at; brainly.com/question/12940982

#SPJ1

8 0
2 years ago
Solve for the values of x and y in the diagram
qaws [65]

Answer: y = 0.5, x = 50

Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:

a triangle has 180 degrees so we subtract the given 50 which gives us 130

2(2y + 64) = 130

4y + 128 = 130

y = .5

This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:

2(45 - x/4) = 65

x = 50

This means the bottom 2 angles of the second triangle are both 32.5.

7 0
2 years ago
Read 2 more answers
A movie rental club charges a one time fee of $25 to join and $2 for every movie rented which equation could represent how much
tia_tia [17]

<u>Answer:</u>

The correct answer option is B. c = 25 + 2m.

<u>Step-by-step explanation:</u>

We are given that a movie rental club charges a one time fee of $25 to join and $2 for every movie rented.

We are to determine whether which of the given equations in the answer options represent how much you would spend to join the club and rent movies for a year.

The correct answer option is B. c = 25 + 2m.

One time charges = 25 plus $2 multiplied by the number of movies rented.

7 0
3 years ago
Multiple Choice –64 ÷ 4 = ? A. 15 B. –15 C. 16 D. –16
Alja [10]

Answer:

D

Step-by-step explanation:

- ÷ + = -

AND 64/4 IS 16

SOO -16 IS THE CORRECT ANSWER

4 0
3 years ago
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