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Alex_Xolod [135]
3 years ago
8

In ABC, and intersect each other at point Q. According to a theorem on medians, Q divides in the ratio 2 : 1. What are the coord

inates of point Q?

Mathematics
1 answer:
Flauer [41]3 years ago
5 0
How to find rapidly the coordinates of Q:
since Q is the center of gravity of the triangle ABC, so we have the following vector relationship
vecQA +vecQB +vecQC =<span>vec0
</span><span>vecQA=(x-3, y+2)
</span><span>vecQB=(x-1, y+5)
</span><span>vecQC=(x-7, y+5)
</span><span>vec0=(0, 0)
</span>
so, vecQA +vecQB +vecQC =<span>vec0 is equivalent to 

</span>x-3 +x-1+x-7 =0, and y+2+y+5+<span>y+5=0 so 3x-11=0 implies x=11/3
</span><span>and 3y+12=0 implies y=-12/3

finally the </span><span>the coordinates of point Q is (11/3, -4)</span><span>

</span>
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Answer:

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Step-by-step explanation:

Find how much saline is in both solutions:

7(0.27)

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Add this together:

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Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:

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3 years ago
Please help w/ #18 (10 points)
patriot [66]
Answer: y=-(1/8)x+(21/2)


Explanation:

The new equation’s slope needs to be perpendicular to y=8x-1

To get the new slope, we take the negative reciprocal of the slope from above

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Now we have y=-(1/8)x+b but it needs to pass through (4,10), so we need to find the value of b that makes this possible.

Since (4,10) is in the form of (x,y) we can plug in these values into the new equation to solve for b:

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Now put b back into the new equation

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6 0
2 years ago
Find the formula for the geometric sequence 4, 20, 100, 500, ...
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anyanavicka [17]

Answer:

answer is 7

Step-by-step explanation:

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