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Yuri [45]
3 years ago
14

On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).

Mathematics
1 answer:
Semenov [28]3 years ago
7 0

Answer:

Approximately 9 units.

Step-by-step explanation:

To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.

d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9

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Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station o
Nonamiya [84]

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

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5 0
3 years ago
Pluto is 5913000,000 km from the sun. Express the number in standard form.​
hram777 [196]

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5.913000000 \times  {10}^{9}

8 0
3 years ago
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4 0
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Please show your work and thank you!
Makovka662 [10]

old weight - decrease = new weight


decrease = weight * percent

decrease = 72 * .125 = 9 lbs


old weight - decrease = new weight

72 - 9 = new weight

63 lbs

A healthy weight for the dog  is 63 lbs


4 0
3 years ago
Myong is collecting rainwater for the garden in the first week she collected 5 gallons in the second week she collected 12 quart
RUDIKE [14]
1 gallon = 16 cups
1 quart = 4 cups
1 pint = 2 cups
Therefore...

Multiply
5 gallons × 16 cups = 80 cups
12 quarts × 4 cups = 48 cups
7 pints × 2 cups = 14 cups

Then...

Addition
80 cups + 48 cups + 14 cups = 142 cups

Answer
Myong has 142 cups of rainwater after 3 weeks of collecting rainwater.
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4 years ago
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