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VMariaS [17]
4 years ago
15

The equation of the line EF is y=2x+1. Write an equation of a line parallel to line EF in slope intercept form that contains poi

nt 0,2
Mathematics
2 answers:
saul85 [17]4 years ago
5 0
Y = 2x + 2

The slope must stay the same since they are parallel and the new point would be the y intercept. 
Ymorist [56]4 years ago
5 0
First, know that - 
· slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept
· parallel lines have the same slope

Given the above, the slope of line EF is 2. This means the equation of the line parallel to line EF will also have a slope of 2 (parallel lines share a slope). If we plug in our slope, the slope-intercept equation becomes y = 2x + b.

Now, we have to find b, the y-intercept. Since the line must pass through the point (0, 2), we can plug it in for the (x, y) values in our equation and solve algebraically for b.

    y = 2x + b
    2 = 2(0) + b
    2 = 0 + b
    2 = b

The y-intercept is 2. We now have the complete equation in slope-intercept form parallel to y = 2x + 1 which passes through the point (0, 2)

Answer:
y = 2x + 2
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Please help thank you!
Arte-miy333 [17]

Answer:

  • golf: $10
  • batting: $2.50

Step-by-step explanation:

We can write two equations in the two unknowns using the given relations. Let g and b represent the costs of a round of golf and a turn in the batting cage, respectively.

  5g +4b = 60 . . . . . Sylvester's expense

  3g +6b = 45 . . . . . Lin's expense

Dividing the second equation by 3 gives ...

  g +2b = 15   ⇒   2b = 15 -g

Substituting into the first equation, we have ...

  5g +2(2b) = 60

  5g +2(15 -g) = 60 . . . . . substitute for 2b

  3g = 30 . . . . . . . . . subtract 30, collect terms

  g = 10 . . . . . . . divide by 3

__

  2b = 15 -10 = 5 . . . . use the value of g to find b

  b = 2.5 . . . . . . . . divide by 2

Mini golf costs $10 per round; batting cages cost $2.50 per turn.

7 0
3 years ago
Find the area of a regular hexagon with the given measurement. 48-inch perimeter A = sq. in. the answer is a square root
svp [43]

The area of a regular hexagon is

... A = (3√3)/2×s² . . . . . where s is the side length

Of course, the 6-sided figure will have a side length that is 1/6 of the perimeter.

... s = (48 in)/6 = 8 in

... A = (3√3)/2×(8 in)² = 96√3 in² . . . area of your regular hexagon

5 0
3 years ago
Prepare depreciation schedules using Straight-Line, Units-of-Production, and Double-Declining Balance Depreciation.
Elden [556K]

Answer:

f

Step-by-step explanation:

f

4 0
3 years ago
$25.16 for 4 pounds?
vaieri [72.5K]

25.16 \div 4 = 6.29
Or

$6.29

1 Pound = $25.16

I hope that it answered your question.
6 0
3 years ago
If you have 3 red shirts, 2 green shirts, and 4 blue shirts and you randomly select
RUDIKE [14]
Add up 3+2+4=9 and the answer would 2/9 because the denominator represents all the shirts and the numerator is the specific shirts
5 0
4 years ago
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