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kifflom [539]
3 years ago
11

Find the y value for point I such that DI and EI form a 3:5 ratio.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0
The y value of I is (5(2) + 3(5))/(3 + 5) = (10 + 15)/8 = 25/8 = 3.125
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Answer:

2.8

Step-by-step explanation:

8.6 - 5.8

6 0
3 years ago
What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

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2 years ago
What is the lcm of 9202 and 23,782?? will mark brainliest
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Answer:

109,420,982

Step-by-step explanation:

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2 years ago
H(1) = -26<br> h(n) = h(n-1) x (-9)<br><br> Find an explicit formula for h(n).<br><br> h(n)= ___
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Answer:

you do not have to state explicitly which limit law(s) you are using. 1 - 5n ... Q: 9) n(x) = 2x - 2 g(x)= x2 + 5 Find h(g(1) A) 5 B) 10 C) 21 D) 40.

Step-by-step explanation:

4 0
3 years ago
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Answer:

Extrapolation

Step-by-step explanation:

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3 years ago
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