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3 years ago

Move the dot to 12 on the number line. -3

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

3 0

Answer: include a picture of the graph, there is not enough information

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Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

Step-by-step explanation:

Given two points are:

$(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)$

Slope intercept form of line is given as:

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}$

Putting the value of slope in slope-intercept form we get

$y = \frac{1}{2}x+b$

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

$4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2$

Putting the value of b

$y = \frac{1}{2}x-2$

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

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3 years ago

The Johnson family is trying to conserve energy by having lights on in the house no more than 105 minutes a day. If they have al

bagirrra123 [75]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A certain server works four 6-hour shifts a week at a restaurant and has a base salary of $9.75/ℎ. An average server sells $1400

mezya [45]

Answer:

$52,936

Step-by-step explanation:

1400(.14)(4) + 4(6)(9.75) = 784 + 234 = $1018/week

52(1018) = $52,936

4 0

3 years ago

Which expression is equivalent to 4x + 3 - 2x + 5.

My name is Ann [436]

2x+8 is equivalent to 4x+3-2x+5

Step-by-step explanation:

4x+3-2x+5

4x+2x+3+5

2x+8

7 0

3 years ago

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In which quadrant is the value of the x-coordinate of a point on the unit circle always greater than the y-coordinate?

Yuliya22 [10]

Answer:

In the fourth quadrant (IV).

Step-by-step explanation:

In the IV quadrant the x coordinate is always positive and the y coordinate is always negative. So the x coordinate is always larger than the y coordinate.

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2 years ago