Enter in the number below that will make the right expression equivalent to the left expression:

Which equation represents the line that passes through the points (–3, 7) and (9, –1)? y = negative two-thirds x + 5 y = negativ

hammer [34]

Answer:

y equals, 2 x minus 5 in the x y-plane is a line with slope 2 and a y-intercept

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Simplify <img src="https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B4%7D%20%20-%204%20%20%5Cfrac%7B2%7D%7B5%7D%20" id="TexFormul

Korvikt [17]

Step-by-step explanation:

(3+1/4)-(4+2/5)

(13/4)-(22/5)

find common denominator of 20

(65/20)-(88/20)

-23/20

Hope that helps :)

8 0

2 years ago

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

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I'm doing Pre-algebra and I don't know how would I figure out the 13th term of the pattern; 100, 91, 82, 73.... without writing

Over [174]

The way we would answer the question would be to express it as

100-9(n-1) with n being the nth term of the pattern.

Why is this? We know we subtract 9 each time and START from 100.
Remember though that 100 is the first term in the sequence. So, we would have (n-1)*9 to subtract 0 from our 1st term and 9 from our second term.

Also, we have 9*(n-1) because we are just subtracting multiples of 9. It is always going to subtract by 9.

If you needed the answer here it is...

The answer to the problem would be
100-9(13-1)
= 100-9(12)
= 100-108
= -8

5 0

3 years ago

One-half of the sum of a number and 12 is less than 27. What is the number? Write as an inequality.

kirill115 [55]

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

3 0

2 years ago