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german
3 years ago
15

What number is the next term in the number pattern? 1/10, 3/12, 7/14, 13/16, … Enter your answer in the box.

Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

A. 21/18

Step-by-step explanation:

The numerator pattern is adding 2 every time to the difference (ex: difference between 1 and 3 is 2, then difference between 3 and 7 is 4). Meanwhile the denominator is only adding 2 everytime.

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Write an equation of the line that passes through (−1,3) and is parallel to the line y=2x+2.
MA_775_DIABLO [31]

The equation of the line that passes through (−1,3) and is parallel to the line y = 2x + 2 in slope intercept form is y = 2x + 5

<h3><u>Solution</u>:</h3>

Given that line passes through (-1, 3) and parallel to line y = 2x + 2

We have to find the equation of the line

Let us first find the slope of the line

<em><u>The slope intercept form of line is given as:</u></em>

y = mx + c  ---- eqn 1

where "m" is the slope of the line and "c" is the y-intercept

Comparing the given line equation y = 2x + 2 with y = mx + c,

We get slope "m" = 2

The slope of parallel lines are equal

Hence slope of the line which is parallel to y = 2x + 2 is also 2

Now let us find the equation of line with slope "m" = 2 and passes through point (-1, 3)

Substitute (x, y) = (-1, 3) in eqn 1 to find value of "c"

3 = 2(-1) + c

3 = -2 + c

c = 5

Now substitute "c" = 5 and m = 2 in eqn 1 to get equation of required line

y = 2x + 5

Thus the equation of line in slope intercept form is y = 2x + 5

4 0
2 years ago
ILL GIVE BRANILEST PLEASE HELP!
mezya [45]

Answer:

x=60^{\circ}

Step-by-step explanation:

The angle formed by 48+x and the angle marked as 72^{\circ} are co-interior angles and therefore must be supplementary (add up to 180 degrees).

Therefore, we have:

48+x+72=180,\\x+120=180,\\x=\boxed{60^{\circ}}

7 0
3 years ago
A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u
Alex73 [517]
The link doesn't work
7 0
3 years ago
Penelope works as a lifeguard at the neighborhood pool. The chart shows
ladessa [460]

Answer:

a. $60

b. it doesn't show how much Mark makes on here so I can't give an answer

5 0
2 years ago
Can someone give me the steps to 8x -2=3x plus 12.25
belka [17]
8x-2=3x+12.25
First, get x on one side by subtracting 3 on both sides->
5x-2=12.25
Then, add 2 on both sides
5x= 14.25
Finally, isolate x by dividing both sides by 5
X=2.85
5 0
3 years ago
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