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2 years ago

Pythagoras theorem line on a graph

Mathematics

1 answer:

quester [9]2 years ago

7 0

3-(-5)=8
6-(-1)=7
Use the Pythagorean Theorem, 8²+7²=a²
64+49=a²
113=a²
a=√113
But I don't think is the distance, this is your answer.
(3, -1) (-5, 6)
Bring it to the expression, y=mx+b
3m+b=-1
-5m+b=6
m=-7/8
b=13/8
the final expression is y=-7/8x=13/8

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The coordinates of the midpoint of gh are m(-13/2,-6) and the coordinates of one endpoint are g(-4,1). what is the other endpoin

Alex777 [14]

Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

<h3>How to Apply the Midpoint Formula?</h3>

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

Learn more about the midpoint formula on:

brainly.com/question/13115533

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Kate decides to replace all the lights in her college apartment with energy saving light bulbs beginning this month. The packagi

tatyana61 [14]

Answer:

Kate's electric bill will be $9 for this month for bulb use only.

Step-by-step explanation:

Given:

Electricity bill lass month from bulb use = $12

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We need to find this month electric bill for bulb use.

Solution:

First we will find the reduction in bill after using new bulbs.

reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.

framing in equation form we get;

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Now we will find this month electric bill for bulb use only.

this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.

framing in equation form we get;

this month electric bill for bulb use only = $\$12-\$3=\$9$

Hence Kate's electric bill will be $9 for this month for bulb use only.

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