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3 years ago

Please give me the correct answer. Thanks! I’m struggling on this.

Mathematics

1 answer:

Vesna [10]3 years ago

7 0

Answer:

I think the answer is yes........

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D. the perimeter of a regular n-gob is the area divided by the all them.

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Which shows all the exact solutions of sin^2 x + 3cos x - 1 = 2?

Zarrin [17]

Answer:

x = 2k $\pi$ is the solution of this equation.

Step-by-step explanation:

This question is related to trigonometric equations.

The given equation is,

$sin^{2} x + 3cos x - 1 = 2$

We have to find the solutions of this equation.

Put $sin^{2}x = 1 - cos^{2}x$

$1 - cos^{2}x$ + 3cosx - 1 = 2

$cos^{2}x -3cosx+2$ = 0

For this equation only cosx = 1 is possible solution.

Cosx = 1 happens when x is a multiple of 2 $\pi$

So x = 2k $\pi$ is the solution of this equation.

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3 years ago

Write an equation that represents the line. Use exact numbers.

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Answer:

Step-by-step explanation:

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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.

Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

$y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)$

We have to find the distance of this point from y=2x+5

$y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0$

The formula for finding distance of a point (x,y) from a line is:

$d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}$

A=2

B=-1

C=5

Putting the values in the formula

$d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units$

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

#LearnwithBrainly

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3 years ago