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Law Incorporation [45]
2 years ago
8

Write an equation that describes each line in slope-intercept form. slope = 0, y-intercept = -3

Mathematics
1 answer:
patriot [66]2 years ago
8 0

Answer:

y=0x+-3

Step-by-step explanation:

slope intercept form is y=mx+b

m is slope

b is y-intercept

y and x are points on a coordinate plane.

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Which of the following is true?
Illusion [34]

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The Correct choice is :

  • RT is an altitude of Triangle QRS
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2 years ago
Determine the total number of proper subsets of the set of letters from the English alphabet a,b, c, ...,j. The number of proper
Inga [223]
\{a,b,c,\ldots,j\} has ten elements, so any proper subset has at most nine of these elements.

The number of ways of taking any 0\le n\le 9 letters from this set is given by the binomial coefficient,

\dbinom{10}n=\dfrac{10!}{n!(10-n)!}

and in particular, the total number of ways to picking proper subsets is

\displaystyle\sum_{n=0}^9\binom{10}n=\dbinom{10}0+\dbinom{10}1+\cdots+\dbinom{10}9

Without computing each term directly, let's instead use a direct result from the binomial theorem, which says

\displaystyle\sum_{n=0}^N\binom Nna^nb^{N-n}=(a+b)^N

If we replace a=b=1, then we're left with

\displaystyle\sum_{n=0}^N\binom Nn=(1+1)^N=2^N

We can use this to evaluate our sum directly:

\displaystyle\sum_{n=0}^9\binom{10}n=\sum_{n=0}^{10}\binom{10}n-\binom{10}{10}=2^{10}-1=1023
8 0
2 years ago
How do i check solutions algebraically
kompoz [17]
Plug the numbers and see if they fit
6 0
3 years ago
The measure of C if a=6 and b=9.
kirill115 [55]

Answer:

c=3\sqrt{13}

Step-by-step explanation:

Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.

c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}

3 0
3 years ago
Show work<br><br> What is the value of m in this proportion?
dlinn [17]

Answer:

m = 5/6

Step-by-step explanation:

Cross multiply.

1/5 × m = 2/3 × 1/4

1/5 × m = 2/12

1/5 × m = 1/6

m = 5/6

4 0
2 years ago
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