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chubhunter [2.5K]
2 years ago
14

What is an equation of the line

Mathematics
1 answer:
Firdavs [7]2 years ago
3 0

Answer:

Step-by-step explanation:

A line that is perpendicular to a reference line will have a slope that is the negative inverse of the reference line.

In this case, the reference line is y = -x - 1.  It has a slope of -1.  The negative inverse of this would be -(1/-1) = 1.

We can then write:

y = mx + b

y = 1x + b

To find b, enter the one given point that lines on the line, (-4,2).

y = 1x + b

y = 1x + b for (-4,2)

2 = 1(-4) + b

b = 6

The equation becomes y = x + 6

See attached.

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How many ways can an IRS auditor select 3 of 9 tax returns for an audit?
Olegator [25]

Answer:

84ways

Step-by-step explanation:

This is a problem on combination. Combination has to do with selection. For example if r objects are to be selected from a pool of n objects, this can be done in nCr ways.

nCr = n!/(n-r)!r!

9C3= 9!/(9-3)!3!

9C3= 9!/(6)!3*2*1

9C3= 9*8*7*6!/(6)!6

9C3= 9*8*7*/6

9C3= 9*8*7*/6

9C3= 504/6

9C3= 84ways

8 0
2 years ago
Chloe answered 35 of the 60 questions correctly. Express this amount as a percent and as a decimal
Delvig [45]

Answer:

0.583

58.3%

Step-by-step explanation:


5 0
3 years ago
Find the measure of angle 4 and explain.
Sav [38]
Pizza pizza Liz a Liza
7 0
2 years ago
Find the sum of a finite arithmetic sequence from n = 1 to n = 15, using the expression 2n + 5
lana [24]
Assuming you mean the sequence is given explicitly by a_n=2n+5, the sum of the first 15 terms is

\displaystyle\sum_{n=1}^{15}a_n=\sum_{n=1}^{15}(2n+5)=2\sum_{n=1}^{15}n+5\sum_{n=1}^{15}1

Recall Faulhaber's formulas, which say

\displaystyle\sum_{n=1}^k1=k
\displaystyle\sum_{n=1}^kn=\dfrac{k(k+1)}2

Our sum is then

\displaystyle\sum_{n=1}^{15}a_n=2\dfrac{15\times16}2+5\times15=315
3 0
3 years ago
Read 2 more answers
The first side of a triangle is 3 inches shorter than the second side, and 2 inches longer than the third side. How long is each
uysha [10]

Answer:

Since  

x

is 8 in. shorter than the second side, we know that we'd need to add 8 to  

x

to get the length of the second side. So the second side is  

x

+

8

. (Think, if the first side is 2 inches and it is 8 inches shorter than the second side, the second side must be 10 inches, so this works.)

The third side is 4 times the length of the first side, so the third side is  

4

x

.

Perimeter is the sum of the sides, so:  

( x ) + ( x + 8 )+ 4 x = 6 x+ 8

We also know the perimeter is 26, so we have:

6 x + 8 =26

subtract 8:

6 x =18

divide:

x = 3 .

The three sides have length: 3, 11, and 12.

The longest side is 12 inches long.

Step-by-step explanation:

6 0
3 years ago
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