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3 years ago

Find all solutions to the equation. cos x = - 1/2

Mathematics

1 answer:

madam [21]3 years ago

4 0

Answer:

$x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n$

Step-by-step explanation:

Radian: x = 2\pi /3 + 2\pi n\\x= 4\pi /3 + 2\pi n

Degree: x = 120 + 360n , x = 240 + 360n

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What is 29/4 simplyfied?

Mars2501 [29]

Answer:

7 and 1/4 or 7.25

Step-by-step explanation:

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Supplementary angles are angles whose son is 180. To supplementary angles are such that one angle is 4° less than three times th

zzz [600]

Answer:

The measures of angle are 46 degrees and 134 degrees.

Step-by-step explanation:

We are given the following in the question:

Let the measure of one the of the supplementary angles be x degrees.

Measure of other angle =

$(3x-4)\text{ degrees}$

Since, the two angles are supplementary, their sum is 180 degrees.

Thus, we can write and solve the equation:

$x + (3x-4) = 180\\4x = 184\\x = 46\\(3x-4) = 134$

Thus, the measures of angle are 46 degrees and 134 degrees.

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2 years ago

Given the graph of g(x), which is a transformation of f(x)=|x|, write the equation for g(x).

Mariulka [41]

Step-by-step explanation:

g(x) = -f(x+1) + 2

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2 years ago

A line has a slope of -3/4 and has a y intercept of 3. What is the x intercept of the line

natima [27]

Answer:

The x-intercept is 4

Step-by-step explanation:

We are given;

The slope of a line as -3/4

y-intercept is 3

We are supposed to determine the x-intercept;

We need to know that;

The slope of a line is given by the ratio of the change in y to the change in x

The coordinates of y-intercept are (0, 3)

Taking the x-intercept as a, then the coordinates of x-intercept is (a, 0)

But;

slope = Δ in y ÷ Δ in x

Therefore;

$\frac{0-3}{a-0}= \frac{-3}{4}$

Solving for a

$-3a = -12 \\ a =4$

Therefore, the x-intercept is 4

3 0

3 years ago