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Lera25 [3.4K]
3 years ago
6

Write an equation of each line

Mathematics
2 answers:
natka813 [3]3 years ago
4 0

Answer:

y = x - 3

3y = 2x + 3

y = -x - 1

Step-by-step explanation:

19. Slope = (1 - -2) / 6 - 3) =  1

y - y1 = 1(x - x1)

y - -2 = 1(x -  1)

y + 2 = x - 1   so y = x - 3 Answer

20.   slope =  2/3 and y intercept = 1  so its

y = 2/3x + 1

or  3y =  2x + 3

21.   Slope = -1 and y-intercept = -1, so its

y = -x - 1

lions [1.4K]3 years ago
3 0
20. Y=2/3x+1
21. Y=1x-1
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If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.
Natasha_Volkova [10]
The correct answers are:
1) sin(x) = \frac{ \sqrt{3} }{2}
2) tan(x) = \sqrt{3}

Explanation:
Given:
cos(x) =  \frac{1}{2}

Step 1:
Since, according to the Trigonometric identity:
sin^2(x) + cos^2(x) = 1 -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x)  =  \frac{3}{4}

Step 3:
Take square-root on both sides:
\sqrt{sin^2(x)} =  \sqrt{\frac{3}{4}}

sin(x) = \frac{ \sqrt{3} }{2}

Now to find the tan(x), we would use the following formula:

tan(x) = \frac{sin(x)}{cos(x)} --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = \frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }

Hence tan(x) = \sqrt{3}
6 0
3 years ago
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Step-by-step explanation:

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Express p/q form of 10.03636......
Crank

Let's assume x= 10.03636........ (1)

Multiply each sides by 100. So,

100x = 1003.63636.......... (2)

Next step is to subtract the equation (1) and (2)

100x - x= 1003.63636- 10.03636

99x= 993.6

99x*10 = 993.6 (By multiplying each sides by 10 to get rid of decimal)

990x = 9936

990x/990 = 9936/990 ( Divide each sides by 990)

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x = \frac{552}{55}

So, 10.03636...... can be represent as 552/55.

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