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Troyanec [42]
2 years ago
5

The map shows the location J of Jose's house, the location of Tyrell's house, and the

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
7 0

Using distance between two points, it is found that Jose traveled 25 units of length to football practice.

The distance between two points (x_1, y_1) and (x_2, y_2) is given by:

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

First, Jose goes from his house, at (-6,8), to Tyrell's house, at (6,8), thus:

D_1 = \sqrt{(6 - (-6))^2 + (8 - 8)^2} = \sqrt{12^2} = 12

Then, he goes from Tyrell's house, at (6,8), to the football field, at (6, -5), thus:

D_2 = \sqrt{(6 - 6)^2 + (-5 - 8)^2} = \sqrt{13^2} = 13

The total distance is:

D = D_1 + D_2 = 12 + 13 = 25

Jose traveled 25 units of length to football practice.

A similar problem is given at brainly.com/question/22532602

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lara31 [8.8K]

Answer:

a. (1, -0.5)

b. (-0.2, 0.4)

c. 15 units

Step-by-step explanation:

a. The midpoint of PQ

To calculate this, we use the midpoint formula;

(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}

From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)

So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)

The coordinates of the midpoint of pq is (1,-0.5)

c. Length of pq

Mathematically;

Length = √{(x2-x1)^2 + (y2-y1)^2}

Length = √{(7-(-5))^2 + (-5-4)^2}

Length = √(12)^2 + (-9)^2

Length = √(144 + 81) = √(225) = 15

b. What we will use here is the internal division formula of the section formula;

Mathematically the coordinates can be calculated using the formula;

(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n

in this case, m = 2 and n = 3

(x1,y1) = (-5,4)

(x2,y2) = (7,-5)

So substituting these values, we have;

(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)

(x,y) = (14 -15)/5 , (-10 + 12)/5

= (-1/5, 2/5) = (-0.2, 0.4)

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3 years ago
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I've attached a graph if the circle with it

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Answer:

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Step-by-step explanation:

<u>Given information:</u>

35, 40, 12, 16, 25, 10

<u>Given formula:</u>

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<u>Substitute values into the formula</u>

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Mean~=~\frac{75~+~28~+~35}{6}

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\Large\boxed{Mean=23}

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Please let me know if you have any questions

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