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stellarik [79]
3 years ago
15

What is the midpoint of the line segment with endpoints (-2, -2) and (4,6)?

Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

(1,2)

Step-by-step explanation:

To find the midpoint, add the x coordinates and divide by 2

(-2+4)/2 = 2/2 =1

add the y coordinates and divide by 2

(-2+6)/2 = 4/2 = 2

The midpoint is

(1,2)

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Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

y = 5x

6 0
3 years ago
Blake and his brother are participating in their school’s food drive. Blake has collected 6 1/3 pounds of food and his brother h
sergejj [24]

They will need 2 5/12 more pounds to reach their goal.

<h3>Sum and difference of fractions</h3>

Given the following information as shown:

  • Amount Blake collected = 6 1/3 pounds
  • Amount his brother collected = 5 3/4 pounds

If their goal is to collect 14 1/2 pounds of food by the end of the month, the remaining food they need to collect will be expressed as:

y =14 1/2 - (6 1/3 + 5 3/4)

y = 14 1/2 - (19/3  + 23/4)

y = 29/2 - (76+69/12)

y = 29/2 - (145/12)

y = 174-145/12

y = 29/12

y = 2 5/12

Hence they will need 2 5/12 more pounds to reach their goal.

Learn more on sum and difference of fractions here:  brainly.com/question/24205483

5 0
3 years ago
Four more than the product of three and a number x.
saul85 [17]

Answer:

3x +4

Step-by-step explanation:

4 more= 4+

the product of 3 and x = 3 times x

=

4+ 3x

3 0
3 years ago
Read 2 more answers
Jonathan records how 90 pupils travelled to school on one day and represents this information on the pie chart below.
xeze [42]

Answer:

86.4

Step-by-step explanation:

First adding up all the percentages on the chart you get 360

Then figuring out what 24° of 360 is

You then get 86.4

4 0
2 years ago
A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before
Fynjy0 [20]
I would say about 40 kilometers it’s ifs 20 around her neighborhood that 20+20=40 and walking tha rest made the question easier but yea 40
8 0
3 years ago
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