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Genrish500 [490]
3 years ago
7

Find the distance from Point A (4,2) to Point B (-3,2).

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0

Answer:

The distance is:

d=7

Step-by-step explanation:

The distance d between two points (x_1, y_1) and (x_2, y_2) is calculated using the following formula:

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

In this case the points are:

A (4,2), B (-3,2).

Then the distance is:

d=\sqrt{((-3)-4)^2 + (2-2)^2}

d=\sqrt{((-7)^2 + (0)^2}

d=\sqrt{49}

d=7

AURORKA [14]3 years ago
4 0

Answer:

7

Step-by-step explanation:

You can use the distance formula, but since both points have the same y-coordinate, they lie on a horizontal line. Just find the difference between the x-coordinates and take the absolute value.

distance = |-3 - 4| = |-7| = 7

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3 years ago
Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, trave
USPshnik [31]

Answer:

Julio travel <u>3 hours</u> by biking and <u>4 hours</u> by walking.

Step-by-step explanation:

Given:

Julio started biking to the park traveling 8 mph, after some time the bike got a flat so Julio walked the rest of the way, traveling 7 mph.

If the total trip to the park took 7 hours and it was 52 miles away.

Now, to find the time Julio travel at each speed.

The speed travelled by the bike = 8 mph.

The speed travelled by the walking = 7 mph.

Let the time Julio travel with bike be x.

And the time Julio travel by walking be y.

As, given Julio started biking to the park traveling, after some time the bike got a flat so Julio walked the rest of the way,

Thus, the total time taken:

x+y=7

y=7-x\ \ \ .......(1)

So, the distance travelled by bike:

Speed × time

8\times x=8x

And, the distance travelled by walking:

Speed × time

7\times y=7y

Now, the total distance travelled by Julio:

8x+7y=52

Substituting the value of x from equation (1) we get:

8x+7(7-x)=52

8x+49-7x=52\\\\x+49=52

<em>Subtracting both sides by 49 we get:</em>

x=3.

<em>The time Julio travelled with bike = 3 hours.</em>

Now, to get the time Julio travelled by walking by substituting the value of x:

y=7-x\\\\y=7-3\\\\y=4\ hours.

<em>The time Julio travelled by walking = 4 hours.</em>

Therefore, Julio travel 3 hours by biking and 4 hours by walking.

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Answer:

310.23

Step-by-step explanation:

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