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Jet001 [13]
3 years ago
5

Finding Distance in the Coordinate Plane

Mathematics
1 answer:
GuDViN [60]3 years ago
5 0

The distance between the two points (-1, 4) and (5, 4) is 6 units.

<u>Step-by-step explanation:</u>

The given Coordinate points are (-1, 4) and (5, 4).

The points are considered as (x1,y1) and (x2,y2).

Here,

x1 = -1 and x2 = 5

y1 = 4 and y2 = 4

<u>The distance formula is given by :</u>

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

<u>To find the distance between these two points :</u>

The distance formula is used,

Distance = \sqrt{(5+1)^2+(4-4)^2}

⇒ √(6)²

⇒ √36

⇒ 6

Therefore, the between the points is 6 units.

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Evaluate the expression -7 1/4x + 3 5/8 for x= -4
Misha Larkins [42]

Answer:

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Step-by-step explanation:

Okay, so this problem is asking for us to solve this problem with the substitution of a variable: x = -4. Before we fully solve this problem, we need to replace all of those x variables with -4 so that it is easier to solve.

-7 1/4(-4) + 3 5/8.

To make this problem even easier to solve, let's turn these mixed numbers into improper fractions. To do this, multiply the denominator by the whole number. Then add the numerator to this number. The new number that you just got is now your new numerator for this number.

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Repeat the last step to turn the other mixed number into an improper fraction.

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(-29/4 * -4/1) + 29/8.

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Now to solve the rest of this problem, let's convert the whole number of 29 so that it has a denominator of 8. This is that these two numbers are addable.

<u>29</u> x <u>8</u> = <u>232</u>

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Now these numbers are addable. So:

232/8 + 29/8 = 261/8 = 32 5/8.

I hope that this helps.

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Answer:

2x^2

Step-by-step explanation:

If you're going to double x^2, you just need to multiply it by 2. You can just put the 2 in front of the x^2 because the order of operations says to do exponents before multiplication.

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