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3 years ago

Write the equation of the line in fully simplified slope intercept form

Mathematics

1 answer:

aleksandrvk [35]3 years ago

4 0

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

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Based on the figure below, the ratio of x/y is equivalent to which trigonometric function?

Ede4ka [16]

Answer: OPTION D.

Step-by-step explanation:

For this exercise it is important to remember the following Trigonometric Functions:

$sin\alpha =\frac{opposite}{hypotenuse}\\\\cos\alpha =\frac{adjacent}{hypotenuse}\\\\tan\alpha =\frac{opposite}{adjacent}\\\\sec\alpha =\frac{hypotenuse}{adjacent}\\\\csc\alpha =\frac{hypotenuse}{opposite}\\\\cot\alpha =\frac{adjacent}{opposite}$

Knowing this, we can identify that:

$cosA=\frac{AC}{AB}=\frac{x}{AB}\\\\sinB=\frac{AC}{AB}=\frac{x}{AB}\\\\secA=\frac{AB}{AC}=\frac{AB}{x}\\\\tanB=\frac{AC}{BC}=\frac{x}{y}$

Therefore, the ratio $\frac{x}{y}$ is equivalent to this Trignometric function:

$tanB=\frac{x}{y}$

8 0

4 years ago

What is the solution to the equation? 2/3x=10 A. 15 B. 30 C. 6 2/3 D. 6 1/2

Andreyy89

It is A
23x=10Step 1: Multiply both sides by 3/2.(32)*(23x)=(32)*(10)x=15
Answer:x=15

8 0

3 years ago

Read 2 more answers

Convert 40/9 into a mixed number. PLEASE HURRY!

kolbaska11 [484]

Answer:

Step-by-step explanation:

40/9=4 4/9 ...

7 0

3 years ago

Read 2 more answers

Help please live or death

iogann1982 [59]

Angle 2 is 143
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angle 7 is 143
angle 8 is 37

8 0

3 years ago

A gum ball machine has 6 red gum balls, 3 green gum balls, and 5 blue gum balls. What is the probability that the next gum ball

lord [1]

Answer:

Step-by-step explanation:

P(red gum ball)= 6/14=3/7

6/14 can be simplified to 3/7 by dividing by 2. 6/2=3. 14/2=7.

P(red gum ball)=3/7

7 0

3 years ago