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RUDIKE [14]
2 years ago
10

A line passes through the point (4, –6) and has a slope of -3/4. Which is the equation of the line?

Mathematics
1 answer:
marysya [2.9K]2 years ago
7 0

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{-6})~\hspace{10em} slope = m\implies -\cfrac{3}{4} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-6)=-\cfrac{3}{4}(x-4) \\\\\\ y+6=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x-3

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A number is multiplied to itself the product is 49/9 find the number​
Usimov [2.4K]

Answer:

the number is 20

Step-by-step explanation:

let 'n' represent the number

2n + 9 = 49

2n = 40

n = 40/2 = 20

8 0
2 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.

5 0
2 years ago
What is the best estimate for 142.45 ÷ 7.4
Schach [20]

Answer:

19.25

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A trapezoid has an area of 30m^2. if all of its side lengths are tripled, what will its new area be​
Norma-Jean [14]

Answer:

270

Step-by-step explanation:

Because we do not know what the side lengths are, as long as they multiply to 30m^2, it's fine

For this question, let's just say the base is 5, and the height is 6. If we triple 5, we get 15, and if we triple 6, we get 18. 15*18=270

Now what if, the sides are not 5 and 6. Will the area still be the same? Let's find out.

10*3=30 so we can say for this answer, the base is 3, and the height is 10.

10 tripled is 30, and 3 tripled is 9. 30*9=270

So as we look at these 2 answers. we can conclude that the new area, no matter the side lengths, will be 270

Hope this helpes!

5 0
3 years ago
How do I multiply (4-√2)(5+√3)
bonufazy [111]

Answer:

17.4076456756

Step-by-step explanation:


6 0
2 years ago
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