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Slav-nsk [51]
2 years ago
5

Find the slope of the line that passes through the points f(4) = 6 and f(-2) = 8.

Mathematics
1 answer:
leonid [27]2 years ago
6 0

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are

(4, 6 ) and (- 2, 8 )

calculate slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )

m = \frac{8-6}{-2-4} = \frac{2}{-6} = - \frac{1}{3}

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Find the values for θ that make each statement true. <br> a. sinθ=cos32 <br> b. cosθ=sin(θ+20).
faltersainse [42]

Answer:

a. 58

b. 35

Step-by-step explanation:

a. Given,

sinθ = cos 32

We know that cos x = sin (90 - x)

⇒ sin θ = sin (90 - 32)

⇒ sin θ = sin 58

⇒ θ = 58

Thus, the value of θ would be 58.

b. Given,

cosθ = sin(θ+20),

sin (90 - θ) = sin (θ + 20)

⇒ 90 - θ = θ + 20

⇒ 90 - 20 = θ + θ

⇒ 70 = 2θ

⇒ θ = 35

Thus, the value of θ would be 35.

8 0
3 years ago
Which ordered pairs lie on the graph of the exponential function f(x)=2(x+4)−8f(x)=2(x+4)−8 ?
sergejj [24]
Simplify the equation
f(x) = 2x + 8 - 8
f(x) = 2x

Now substitute the x values 
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f(-2) = 2(-2) = -4

The correct answer is 4. (-2,-4)
6 0
3 years ago
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vagabundo [1.1K]
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3 years ago
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Given that < 1 and < 3 are corresponding angles with the same measure, and that < 1 and m < 38 ° are supplementary angles in which their measures add up to 180°:

Then:

m< 1 + m < 38° = 180°

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m < 1 = 142°

Since m < 1 = m < 3, then m < 3 = 142°
7 0
3 years ago
A company finds that there is a linear relationship between the amount of money that it spends on advertising and the number of
Kay [80]

The formula for the equation of y, the number of units sold as a function of x is y = 0.00625x + 250

<h3>How to illustrate the equation?</h3>

From the information given, when the company spends no money on advertising, it sells 250 units and for each additional $4000 spent, an additional 25 units are sold.

The formula for y will be:

y = (25/4000)x + 250

y = 0.00625x + 250

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

8 0
2 years ago
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