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Sergeeva-Olga [200]
3 years ago
13

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of po

int r is 3 more than the y-coordinate of point q
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

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Find the length of the missing side
inn [45]
<h3>Answer:  9</h3>

================================================

Work Shown:

a = unknown  = leg #1

b = 12  = leg #2

c = 15 = hypotenuse

Plug those values into the pythagorean theorem and solve for 'a'

a^2 + b^2 = c^2

a^2 + (12)^2 = (15)^2  .... substitution

a^2 + 144 = 225

a^2 = 225 - 144  ... subtracting 144 from both sides

a^2 = 81

a = sqrt(81)  .... applying square root to both sides

a = 9

7 0
3 years ago
A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of the track
tino4ka555 [31]

Answer:

54 Pounds

Step-by-step explanation:

We know that they start off with 67.5 pounds of sugar and they need to reduce it by 20%. We also know from the problem that we want to know the MAXIMUM amount of sugar consumed by each track member.

The typical high school student consumes about 67.5 pounds of sugar per year. That is our first piece of the problem

67.5

We now know that 20% of it needs to be reduced. This means that we can multiply it by 0.8 because that is 20% less than 100% of the sugar.

67.5 x 0.8

This leads the answer to be 54 Pounds

Hope this helped :D

4 0
3 years ago
3 7/8 convert to decimal
xxTIMURxx [149]

3 7/8 Converted into decimal equals 3.875


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