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1 year ago

Find CD, given that point G is the centroid of

Mathematics

1 answer:

andrey2020 [161]1 year ago

7 0

let's recall that a Centroid in a triangle cuts the Medians into a 2:1 ratio, or namely CG : GD are in a 2: 1 ratio, we can also look at it that the side CD is 2/3 of CD whilst GD is 1/3 of CD, so

$CG=\cfrac{2}{3}CD\implies 17.7=\cfrac{2CD}{3}\implies 3(17.7)=2CD \\\\\\ \cfrac{3(17.7)}{2}=CD\implies 26.55=CD$

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Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

The swimming pool at spring valley high is a rectangle with a width of 65 meters and a length of 30 meters. Around the perimeter

pentagon [3]

65+w*30+w i think is the answer

4 0

2 years ago

Solve -2x + 6 = -20.<br><br> (A) -13<br> (B) 13<br> (C) -7<br> (D) 7

kow [346]

Answer: x=13

explanation:
-2x+6=-20
subtract 6 from both sides
-2x=-26
divide -2 by both sides
two negatives equals a positive
x=13

8 0

3 years ago

Read 2 more answers

1 4/5 lbs into ounces

AURORKA [14]

1 4/5lbs is equal to 28.8oz

7 0

2 years ago

Read 2 more answers

How many 12th are in 3 and describe situation

Mashutka [201]

Answer:

1) 36

2) My mom was trying to quiz me and she told me to pick a fraction and a number. I picked 1/12 and 3, she then told me to figure out how many 12ths there are in 3 which I found was 36.

Step-by-step explanation:

3 * 12 = 36

6 0

2 years ago