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Paladinen [302]
3 years ago
10

The equation of 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). a. y = -2x - 4. b. y = 2x + 2. c. y = -1/2x - 4. d. y = 1/2x + 2.
Mathematics
2 answers:
Pie3 years ago
6 0
Gradient of line 1;
y=2x+1
m= 2

Parallel lines have same gradient;
For line 2, gradient = 2
y=mx+c
y=2x+c
Replacing for x and y;
2=2(0)+c
2=c
y=2x+2
77julia77 [94]3 years ago
3 0

Answer:  The answer is (b) y=2x+2.


Step-by-step explanation:  The equation of a straight line in slope-intercept form is given by

y=mx+c, where, 'm' is the slope and 'c' is the y-intercept of the straight line.

The equation of the given line EF is

y=2x+1.

Here, slope, m=2 and y-intercept, c=1.

Since our new line is parallel to the given line, so the slope of the new line=m=2.

So, let the equation of the new line be

y=mx+d\\\\\Rightarrow y=2x+d.

Now, since the line passes through the point (0,2), so

2=2\times 0+d\\\Rightarrow d=2.

Thus, the equation of the new line parallel to line EF will be

y=2x+2.

The correct option is (b).

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inysia [295]

I'm pretty sure if the answer accepts decimals, if two apples = 175 grams, then one apple equals 87.5 grams, and if we want an apple that equals four grams, it would be less than one apple so we would divide the grams of one apple till it equals 4, therefore 87.5/4 = 21.875

P.S. im not entirely sure this is right im just trying to help :)

4 0
2 years ago
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0
3 years ago
Find the percent of change from 24°F to 39°F. Then state whether the percent of change is an increase or a decrease.
lara31 [8.8K]

Answer:

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4 0
2 years ago
The diagram shows a sector of a circle radius 10cm
Yuki888 [10]

Answer:

\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}

Step-by-step explanation:

\text{Perimeter of the sector = Radius + arc length + radius}

\text{Radius = 10 cm}

\text{Perimeter of the sector = 10 + arc length + 10  }

 \text{Perimeter of the sector = 20 + arc length  }

\text{arc length   = (sector angle/ 360 ) * perimeter of the circle}

\text{Perimeter of a circle }=2\pi r

\text{sector angle} = 135

\text{arc length}   =  (135/ 360 ) * 2\pi (10)

= (3/8) 20\pi

= 15\pi /2

\text{Using  }\pi =3.14

= 15 * 3.14 /2

= 23.55

\text{Perimeter of the sector = 20  + 23.55}

= 43.55

= 43.6  cm

\text{perimeter of the sector  = 43.6  cm }

8 0
2 years ago
Simplify: 3r+n²-r+5-2n+2
lutik1710 [3]
3r+n2−r+5−2n+2<span />=3r+n2+−r+5+−2n+2=3r+n2+−r+5+−2n+2<span />=(n2)+(−2n)+(3r+−r)+(5+2)<span />=n2+−2n+2r+7<span /><span />
=n2−2n+2r+7
7 0
3 years ago
Read 2 more answers
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