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2 years ago

If you are smart in ranges, graphs, and functions, pls help me out. Look at the screenshot below!

Mathematics

1 answer:

jeka942 years ago

6 0

Answer:

Graph of the equation y = 2/5x - 1

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

Step-by-step explanation:

Given the equation

y = 2/5x - 1

Determining the y-intercept:

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

As the equation is given such as

y = 2/5x - 1

substitute x = 0

y = 2/5(0) - 1

y = 0 - 1

y = -1

so the ordered pair (0, -1) represents the y-intercept.

Thus, the y-intercept is: -1

Determining the x-intercept:

We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.

As the equation is given such as

y = 2/5x - 1

substitute y = 0

0 = 2/5x - 1

2/5x = 1

x = 5/2

x = 2.5

so the ordered pair (2.5, 0) represents the x-intercept.

Graph of the equation y = 2/5x - 1

Please check the attached graph of the equation where:

The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.

The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.

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Answer:

Part A) Use the identity $tan^2(A)+1=sec^2(A)$

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Step-by-step explanation:

we know that

$tan^2(A)+1=sec^2(A)$ ----> by trigonometric identity

we have

$sec(A)=\frac{4}{3}$

substitute in the expression above

$tan^2(A)+1=(\frac{4}{3})^2$

solve for tan(A)

$tan^2(A)+1=\frac{16}{9}$

$tan^2(A)=\frac{16}{9}-1$

$tan^2(A)=\frac{7}{9}$

square root both sides

$tan(A)=\pm\frac{\sqrt{7}}{3}$

Remember that Angle A terminates in quadrant IV

The value of tan(A) is negative

$tan(A)=-\frac{\sqrt{7}}{3}$

Find the value of cot(A)

we know that

$cot(A)=\frac{1}{tan(A)}$ ----> is the reciprocal

therefore

$cot(A)=-\frac{3}{\sqrt{7}}$

simplify

$cot(A)=-\frac{3\sqrt{7}}{7}$

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Answer:

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Step-by-step explanation:

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