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Lelu [443]
3 years ago
15

Find the distance between points P(2, 2) and Q(7, 4) to the nearest tenth.

Mathematics
1 answer:
kirill115 [55]3 years ago
8 0

The formula of a distance between two points:

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

We have the points P(2, 2) ans Q(7, 4). Substitute:

|PQ|=\sqrt{(7-2)^2+(4-2)^2}=\sqrt{5^2+2^2}=\sqrt{25+4}=\sqrt{29}\approx5.4

<h3>Answer: PQ = 5.4</h3>
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Solve by elimination using subtraction.<br> 2x + y = -5<br> 2x - 5y = 13
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Answer:

(- 1, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = - 5 → (1)

2x - 5y = 13 → (2)

Subtracting (1) from (2) term by term will eliminate the x-0 term

0 - 5y - y = 13 - (- 5) , that is

- 6y = 18 ( divide both sides by - 6 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

2x - 3 = - 5 ( add 3 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

solution is (- 1, - 3 )

5 0
3 years ago
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Answer:

y=10

Step-by-step explanation:

you first add 10 to both sides

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6 0
4 years ago
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Step-by-step explanation:

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3 years ago
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There is no photo of the equation I can’t help you if you don’t give me something to work with
6 0
3 years ago
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bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.
Nataly [62]

Answer:

<em>Johnny had </em><em>5</em><em> items and Bobby had </em><em>13</em><em> items.</em>

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

\Rightarrow y=3+2x  ----------1

Johnny asked for 8 fewer items than bobby. So,

\Rightarrow y-8=x  -----------2

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Putting the value of y in equation 2,

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\Rightarrow x=5

So, Johnny had 5 items and Bobby had 13 items.

3 0
3 years ago
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