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Ede4ka [16]
3 years ago
11

Segment AB has endpoints on the coordinate grid where A is (- 18, 5) and B is (- 4, 5) Point Z is located exactly 1/8 of the dis

tance from A to B. Determine the value of the x-coordinate of point
Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Given:

Endpoints of segment AB are A(- 18, 5) and B(- 4, 5).

Point Z is located exactly 1/8 of the distance from A to B.

To find:

The value of the x-coordinate of point Z.

Solution:

Point Z is located exactly 1/8 of the distance from A to B.

AZ:AB=1:8

AZ:ZB = AZ:(AB-AZ)= 1:(8-1) = 1:7

It means point Z divided segment AB in 1:7.

Using section formula, the x coordinate of point Z is

x-coordinate=\dfrac{mx_2+nx_1}{m+n}

x-coordinate=\dfrac{1(-4)+7(-18)}{1+7}

x-coordinate=\dfrac{-4-126}{8}

x-coordinate=\dfrac{-130}{8}

x-coordinate=-16.25

Therefore, the required x-coordinate of point Z is -16.25.

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Total consumption of fruit juice in a particular country in 2006 was about 1.85 billion gallons. The population of that country
Eduardwww [97]

Given :

Population of country in 2006 , P = 300 million.

Consumption of fruit juice in 2006 by while population, C = 1.85 billion.

To Find :

The average number of gallons of fruit juice consumed per person in the country in​ 2006.

Solution :

We know, 1 billion = 1000 million.

C = 1.85 billion = 1850 million.

Now, average umber of gallons of fruit juice consumed per person in the country in​ 2006 is :

c =\dfrac{C}{P}\\\\c=\dfrac{1850}{300}\ gallons/person\\\\c=6.17 \ gallons/person

Hence, this is the required solution.

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5 0
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from these result that the 3rd choice is right sure 


6 0
3 years ago
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