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3 years ago

Solve by graphing y<7/3x + 5 and x<-3

Mathematics

1 answer:

Molodets [167]3 years ago

4 0

Slope : -7/3

Y-Intercept: 4

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For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po

9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

$\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)$

If you equals this derivative to zero you obtain the value of the angle:

$\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}$

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.

hence, the answer is:

$\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}$

answer b

7 0

3 years ago

Find the gcf and use it to reduce 36/63

alisha [4.7K]

Answer:

$\frac{4}{7}$

Step-by-step explanation:

The greatest common factor of 36 and 63 is 9.

Thus, $\frac{36}{63}$ = $\frac{4}{7}$ since (36 ÷ 9 = 4) and (63 ÷ 9 = 7).

4 0

3 years ago

Read 2 more answers

Write 4,706 × 10 11 in standard notation

aleksandrvk [35]

I am guessing that is 1011? Just to be safe, I will do 4706*10 and 4706*1011.

4706*10: So, 4,706 times 10 is 47060

4706*1011: 4,706 times 1011 is 4757766

Standard notation is the normal way of writing numbers. So the answers I wrote are all in Standard notation.

5 0

3 years ago

CosA+cosB+cosC+cos(A+B+C)= cos(A+B).cos(B+C).cos(C+A)

RoseWind [281]

Answer:

cos (A+B+C)

Step-by-step explanation:

as A,B,C, are triangle we have A,B and C as 180

cost

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3 years ago

Which point is a solution to the linear inequality below:

gayaneshka [121]

Answer:

A (0,0)

Step-by-step explanation:

y - 3x < 1

0 - 3(0) < 1

0 < 1

7 0

3 years ago