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QveST [7]
3 years ago
9

(9,5) and (4,-7) find the distance between two points

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

13 units

Step-by-step explanation:

Use the distance formula, d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}, where (x2, y2) and (x1, y1) are two different points on the line.

Plug in the values:

d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

d = \sqrt{(9 - 4)^2 + (5 + 7)^2}

d = \sqrt{5^2 + 12^2}

d = \sqrt{25 + 144}

d = \sqrt{169}

d = 13

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On a particular road map 1/2 inch represents 18 miles about how many miles apart are 2 towns that are 21/2 inches apart on this
andrew-mc [135]
So if 1/2 = 18 miles, we want to first find how many sets of 1/2 are in 21/2. We can just do this by dividing.

(21/2) / (1/2) = 21

So we know that there are 21 sets of 1/2 in 21/2, and since 1/2 and 18 are equal, we can say we know there are 21 sets of 18.

We can multiply to find this.

21 * 18 = 378

So two towns are 378 miles apart.
6 0
3 years ago
Read 2 more answers
Eight less a number is less than or equal to 17​
Karolina [17]

Step-by-step explanation:

n-8≤17

add 8 on both sides to isolate the variable.

n is less than or equal to 25

6 0
3 years ago
The square of a whole number 'n' lies between 80 and 150. Find all possible values for 'n'.
pychu [463]
The square of a whole number n lies between 80 and 150, so n lies between √80 and √150.

\sqrt{80} \approx 8.9 \\
\sqrt{150} \approx 12.2

n is a whole number and lies between 8.9 and 12.2, so n can be 9, 10, 11, or 12.

The possible values for n are 9, 10, 11, and 12.
5 0
4 years ago
57.036 in word form and in expanded form.
scoray [572]
Here is the answer: 

Expanded Form: 50 + 7 + 0.03 + 0.006

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7 0
3 years ago
Toni drives her car 99 mi on the highway on 3 gal of gas. At this rate how many miles can she drive on 11 gal of gas?
Helen [10]

Answer:

333.67 miles

Step-by-step explanation:

She drives her car 91 mi on 3 gal of gas

That’s 91 mi = 3 gal

How many miles can she drive on 11 gal of gas .

Let the mile she can drive by 11 gal of gas be A

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Cross multiply

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A x 3 = 1001

Divide both sides by 3

A x 3/3 = 1001/3

A = 333.67 miles

At the same rate she’ll drive 333.67 miles on 11 gal of gas

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3 years ago
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