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2 years ago

What is the midpoint of EC ?

Mathematics

1 answer:

Reika [66]2 years ago

8 0

Answer:

A: (t + p, r)

Step-by-step explanation:

To find the midpoint of EC

Let (x1, y1) = E(2t, 0) and (x2, y2) = C(2p, 2r)

Midpoint = [(2t + 2p)/2 , (0 + 2r)/2]

= (2(t + p)/2 , 2r/2)

= (t + p, r)

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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFra

Stels [109]

Answer:

Third option: $y= \frac{1}{4}x+2$

Step-by-step explanation:

<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is $y -4 = \frac{1}{4}(x -8)$ . What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>

<em> </em>The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the equation of the line in Point-Slope form:

$y -4 = \frac{1}{4}(x -8)$

You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.

Then, this is:

$y -4 = \frac{1}{4}(x -8)\\\\y-4= \frac{1}{4}x-\frac{8}{4}\\\\y-4= \frac{1}{4}x-2\\\\y= \frac{1}{4}x-2+4\\\\y= \frac{1}{4}x+2$

You can identify that the slope "m" is:

$m=\frac{1}{4}$

And the y-interecept "b" is:

$b=2$

7 0

3 years ago

Read 2 more answers

|x + 3| < 5

Elden [556K]

Answer:

Step-by-step explanation:

$|x+3|$

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2 years ago

Larry made 5 batches of punch. Each batch ises 24 fluid ounces of lemon juice and 5 pints of orange juice. If each serving is 1

kkurt [141]

Answer:

65 servings

Step-by-step explanation:

Larry made 5 batches of punch.

In each batch, she uses the amount of lemon juice = 24 fluid ounces

and the amount she uses of orange juice = 5 pints

Since 1 pint = 16 fluid ounces

∴ 5 pints = 16 × 5 = 80 fluid ounces

Total quantity of punch in each batch = 24 + 80

= 104 fluid ounces

Total quantity of punch in 5 batches = 104 × 5

= 520 fluid ounces

If each serving is 1 cup.

and 1 cup = 8 ounces

He made the number of servings all together = $\frac{520}{8}$

= 65 cups

He made 65 servings all together.

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3 years ago

Fifteen gallons of gasoline can be represented by the coordinates (15,40.8) true or false

sineoko [7]

Answer:

false?

Step-by-step explanation:

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3 years ago

Convert the angle 0 equals eight pi over 9 rad to degrees

Helen [10]

Answer:

160°

Step-by-step explanation:

Please represent the angle with a Greek letter, such as Ф, α, β, etc. Click on the 'omega' symbol at the bottom of your screen, to display math symbols.

8π 180 deg

------ * -------------- = 160° This is the formula for

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2 years ago