Can someone answer this please
1 answer:
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Answer:
Step-by-step explanation:
The figure has been attached, to complement the question.
Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:
Solving (a): DG
If , then
Make DG the subject
Substitute 52 for DE
Solving (b): GE
If , then
Solving (c): DF
So:
Solving (d): CH
Solving (e): CE
If , then
We have a sequence that meets the given criteria, and with that information, we want to get the sum of all the terms in the sequence.
We will see that the sum tends to infinity.
So we have 5 terms;
A, B, C, D, E.
We know that the sum of each term and its neighboring terms is 15 or 25.
then:
- A + B + C = 15 or 25
- B + C + D = 15 or 25
- C + D + E = 15 or 25
Now, we want to find the sum of all the terms in the sequence (not only the 5 given).
Then let's assume we write the sum of infinite terms as:
Now we group that sum in pairs of 3 consecutive terms, so we get:
So we will have a sum of infinite of these, and each one of these is equal to 15 or 25 (both positive numbers). So when we sum that infinite times (even if we always have the smaller number, 15) the sum will tend to be infinite.
Then we have:
If you want to learn more, you can read:
The y-intercept of the given table is 2000.
<u>Step-by-step explanation:</u>
Write the table in the ascending order.
From the table, calculate the rise and run to find the slope of the line.
Choose points (0,2000) and (1,1800).
rise= -200 and run=1.
Slope m = -200.
The line equation is y=mx+c.
Apply the slop value in the equation,
y= -200x+c.
To find the y-intercept substitute a value in the above equation.
Substitute(1,1800),
1800 = -200(1)+c.
2000=c.
y= -200x+2000.
The y-intercept is the point where the line passes through in the vertical y-axis at the origin.
