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Maslowich
2 years ago
5

What is the distance between (5, 7) and (-2,-2)? Round to the nearest tenth, if necessary.

Mathematics
1 answer:
lakkis [162]2 years ago
5 0

Answer:

The distance between (5, 7) and (-2,-2) is 11.4 units.

Step-by-step explanation:

We are given the following in the question:

Points:

(5, 7) and (-2,-2)

We have to find the distance between the two points.

Distance formula:

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

Putting values, we get,

(x_1,y_1) = (5,7)\\(x_2,y_2) = (-2,-2)\\\\d = \sqrt{(-2-7)^2 + (-2-5)^2} = \sqrt{130} \approx 11.4\text{ units}

Thus, the distance between (5, 7) and (-2,-2) is 11.4 units.

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Suppose Paul went to the store and bought 4 peaches to add to the basket.Write two new numerical expressions to represent the to
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Answer:

1. n + 4

2. x(n) + 4

Step-by-step explanation:

The two solutions were arrived at based on the following :

1. The total number of fruit, irrespective of the kind or type.

In this case, let the number of fruit be n.

Adding 4 peaches gives: n + 4 fruits.

2. The second expression takes into account the peaches only.

This times around, let the total fruits be n.

The number of peaches in the basket can be given as a fraction. Let the fraction be <em>x</em>

The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: <em>x</em>n

However, 4 peaches are added, therefore, the total number will be <em>x</em>n+4

This figure denotes the number of peaches in the basket.

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3 years ago
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What is an equation of the line that passes through the point (8,-5) and is parallel
HACTEHA [7]

Answer:

y=-5/4x+5

Step-by-step explanation:

Hi there!

We're given the line 5x+4y=24 and we want to find the line parallel to it that passes through (8,-5)

Parallel lines have the same slopes

First, we need to find the slope of 5x+4y=24.

We'll do that by converting 5x+4y=24 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b where m is the slope and b is the y intercept)

subtract 5x from both sides

4y=-5x+24

divide by 4 on both sides

y=-5/4x+6

since -5/4 is in the place where m should be, it is the slope.

So the equation of the line parallel to it will also have -5/4 as the slope

Here's the equation so far in slope-intercept form:

y=-5/4x+b

we need to find b

because the equation will pass through (8,-5), we can use it to solve for b

substitute 8 as x and -5 as y

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multiply

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add 10 to both sides

5=b

substitute 5 as b into the equation

<u>y=-5/4x+5</u>

That's the equation of the line parallel to 5x+4y=24.

Hope this helps!

6 0
3 years ago
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asambeis [7]

Answer:

To  get system B, the SECOND equation in system A was replaced by the sum of that equation and the FIRST equation multiplied by FOUR. The solution to system B IS de same as the solution to system A

Step-by-step explanation:

x-y=3  equation 1

-2x+4y=-2   equation 2

so, multiplying by four the equation 1 we have

4x-4y=12   equation 3

later sum equation 3 and equation 2 we have

2x=10

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