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2 years ago

What is the slope of the function represented by the table of values below

Mathematics

1 answer:

Over [174]2 years ago

7 0

Answer:

The correct option is A....

Step-by-step explanation:

We have a table of x,y pairs. To compute the slope we can use any two pairs, say the first two, and plug them into our formula:

m = y2-y1 / x2-x1

m = 5-13/ 0-(-2)

m = -8/0+2

m = -8/2

m = -4

We can check this answer by using a different pair: Take the last two pairs.

m = -27-(-15)/ 8-5

m = -27+15/3

m = -12/3

m = -4

Thus the slope is -4

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Let (8,−3) be a point on the terminal side of θ. Find the exact values of cosθ, cscθ, and tanθ.

denis23 [38]

Answer:

$\text{Cos}\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

$\text{Csc}\theta=-\frac{\sqrt{73}}{3}$

$\text{tan}\theta =\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Step-by-step explanation:

From the picture attached,

(8, -3) is a point on the terminal side of angle θ.

Therefore, distance 'R' from the origin will be,

R = $\sqrt{x^{2}+y^{2}}$

R = $\sqrt{8^{2}+(-3)^2}$

= $\sqrt{64+9}$

= $\sqrt{73}$

Therefore, Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Cscθ = $\frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}$

6 0

4 years ago

Simplify each expression <br><br> 1. -7(6v+4)+3v(v+3)<br><br> 2. -3k(2k-3)+7(k-7)

Olegator [25]

1. -7(6v+4)+3v(v+3)
-42v-28+3v ²+9v
-33v-28+3v ²
=3v ²-33v-28

2. -3k(2k-3)+7(k-7)
-6k ²+9k+7k-49
= -6k ²+16k-49

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3 years ago

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vovangra [49]

Answer:

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Step-by-step explanation:

Use the following formula to convert Fahrenheit to Celsius:

$C=\frac{5}{9}(F-32)$

Substitute the value for the variable and solve for C.

$C=\frac{5}{9}(59-32)\\C=\frac{5}{9}(27)\\C=15$

Therefore, 59°F is equivalent to 15°C.

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