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3 years ago

What is the y intercept of the liner function that contains the points (4,1) (-3, -20)

Mathematics

1 answer:

myrzilka [38]3 years ago

8 0

Answer:

Step-by-step explanation:

To get the y-intercept, we need to get the slope first

Slope = y2-y1/x2-x1

Slope = -20-1/-3-4

slope = -21/-7

Slope = 3

Get the y-intercept. Substitute m = 3 and any point say (4, 1) into the expression y = mx+c

c is the y-intercept

1 = 3(4) + c

1 = 12 + c

c =1-12

c = -11

Hence the y-intercept is -11

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2(3x + 4) = 4x + 22 what is x

Misha Larkins [42]

Answer:

x = 7

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Step-by-step explanation:

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3 years ago

two random samples of 25 people were asking how many 12 oz cans of soda they consume each week first sample contains both males

dezoksy [38]

Answer:

One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.

Step-by-step explanation:

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3 years ago

Solve each equation by completing the square. n^2 - 6n + 6 = -2

Law Incorporation [45]

<h3><u>Explanation</u></h3>

Separate the constant out of expression.

$( {n}^{2} - 6n) + 6 = - 2$

Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.

$( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1$

Square Root both sides to get rid the squared expression. Make sure to write plus or minus.

$\sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1$

$n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2$

<h3><u>Answer</u></h3>

$\large \boxed {n = 4,2}$

3 0

3 years ago

A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that th

irina1246 [14]

Answer:

27 degrees

Step-by-step explanation:

First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.

We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees

4 0

3 years ago

The circle has a circumference of 9.42 units. What is the area of the square ? Use 3.14 for pi. Explain how you got your answer

Elan Coil [88]

So 9.42 is the circumference 9.42/3.14 is 3 and 3 is your diameter 1.5 is your radius and area is radius times radius then times pi so 1.5 x 1.5 = 2.25
2.25 x 3.14= 7.06500 so I believe your answer is about 7 units

3 0

3 years ago