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3 years ago

Solve the equation 2 cos ( x ) + 1 = 0 2 cos x + 1 = 0 , 0 ≤ x ≤ 2 π 0 ≤ x ≤ 2 π . Show all of your work

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

Answer:

2π/3, 4π/3

Step-by-step explanation:

I interpret your question as asking us to solve the equation

2cos(x) + 1 = 0

2cos(x) = -1

cos(x) = -½x

x = arccos(-½), 0 ≤ x ≤2π

Since the cosine is negative, x must be in the second or third quadrant.

Referring to the unit circle, we find that

x = 2π/3 (120°) or x = 4π/3 (240°)

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Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

8 0

3 years ago

Which student's work is correct? Explain please

Lunna [17]

Step-by-step explanation:

Wendy

-20 = x/2 + 7

-20 -7 = x/2 + 7 -7

-27 = x/2

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x = -54

because it's math rule

8 0

3 years ago

select the values that make the inequality h/4 greater than or equal to -1 true then write an equivalent inequality in terms of

jok3333 [9.3K]

Answer:

Values that make it equal:

-4, -3, -1, 0, 4

Written equivalent inequality:

h≥−4

Step by Step for the written inequality:

h/4 ≥−1

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

h≥−4

I hope this helps you!! :)

3 0

3 years ago

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Alex73 [517]

Answer:

8Mm-18M

Step-by-step explanation:

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3 years ago

Read 2 more answers

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Juliette [100K]

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Step-by-step explanation:

$-\frac{1}{4}+2\frac{1}{4}y+2-y=y+2$

$(-\frac{1}{4}+2)+(2\frac{1}{4}y-y)=y+2\\$

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$(\frac{7}{4})+(\frac{9-4}{4} )y=y+2$

$(\frac{7}{4})+(\frac{5}{4})y=y+2$

5 0

3 years ago