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RoseWind [281]
3 years ago
12

Write an equation parallel to the function y=2x+3 and goes through the point (1, -4)

Mathematics
1 answer:
sergey [27]3 years ago
6 0

Answer:

y=2x-6

Step-by-step explanation:

Parallel functions are functions with the same slopes but are in different positions on the coordinate plane (for this case it means that they have different y- intercepts)

So this means that the function will have a slope of 2

To find the equation we must plug in the value (1, -4) and find the new y-intercept(c)

(-4)= 2(1)+c

-4-2=c

-6=c

This means that the parallel function that goes through the point (1,-4) is

y=2x-6

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Sam lives 3.5 times farther from school than Sara does. Sam lives 13.3 miles from school. How far from school does Sara live?
Andreyy89
Let distance of Sarah from school = x
Distance of sam from school = 3.5x or 13.3

=> 3.5x = 13.3
X = 13.3/ 3.5
X = 3.8
4 0
3 years ago
Read 2 more answers
Two lines intersect to form a linear pair with equal measures. One angle had the measure 2x and the other angle had the measure
rosijanka [135]

Answer:

x = 45, y = 5

Step-by-step explanation:

It is given that two lines form a linear pair with equal measures. Therefore, the angle between the two lines will be 90. Now, according to the question,

2x + 20y - 10 =90

2x+20y = 100

x + 10y = 50

And

2x = 20y-10

x = 10y -5

x - 10 y = -5

Now, adding x + 10y = 50 and x - 10y =-5, the value of x can be found. The required value will be:

x + 10y =50

x - 10y = -5

------------------

x = 45

Therefore, the value of y after substitution of the value of x in one of the equations will be:

90 = 20y - 10

20 y = 100

y = 5

Hence, the required value of x and y are 45 and 5 respectively.

4 0
3 years ago
Justin lives 3 2 5 miles from his grandfather's house. Enter the mixed number as a fraction greater than one. 3 2 5 =
elena-s [515]

Answer: \dfrac{17}{5} miles

Step-by-step explanation:

We can express a mixed fraction as an improper fraction.

The process is as follows:

a\dfrac{b}{c}=\dfrac{ac+b}{c}

The given mixed number = 3\dfrac25 miles

This can be represented as

3\dfrac25=\dfrac{3\times5+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{15+2}{5}\\\\=\dfrac{17}{5}>1

Hence, the required fraction= \dfrac{17}{5} miles

3 0
3 years ago
Write 3:15 as a unite rate
hammer [34]
0.2:1

I divided 3 by 15 and got 0.2 and then divided 15 by 15 to get one
3 0
3 years ago
in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours,
algol [13]

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.

D = distance of marathon = 42.195 km = 42195 m

tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec

Vw = speed of winner

speed of winner is given as

Vw = D /tw = 42195/8220

ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s

Vs = speed of second place

speed of second place is given as

Vs = D /ts = 42195/8774

distance of the second place holder from the finish line is given as

D' = Vs (ts - tw)

D' = (42195/8774 )(8774 - 8220)

D' = 2664.24 m

D'= 2.664 km

To learn more about distance  visit:brainly.com/question/15172156

#SPJ4

7 0
1 year ago
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