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erma4kov [3.2K]
3 years ago
7

A construction crew will build a new railroad track which passes through the point​ (8,5) and is parallel to the one modeled by

the line. What equation models the path of the new​ track
Mathematics
1 answer:
Mrac [35]3 years ago
7 0

Answer:

Lines a and c have the same slope, so they are parallel. Write an equation of the line that passes through (5, −4) and is parallel to the line y = 2x + 3. Step 1 Find the slope of the parallel line. The graph of the given equation has a slope of 2.

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Parabola passes through the points (0,5), (1,4), and (2,5). What function does the graph represent?
AfilCa [17]

Answer:

x^2 - 2x + 5 = 0.

Step-by-step explanation:

The (0, 5) is the point where the parabola passes through the y axis (where x = 0), so we can write the equation as

y = ax^2 + bx + 5   where a and b are constants to be found.

Also, since (1, 4) and (2, 5) are points on the curve, substituting, we have the system:

a(1)^2 + 1b + 5 = 4

a(2)^2 + 2b + 5 = 5

Simplify these 2 equations:

a  + b  =  -1  .................(1)

4a + 2b = 0..................(2)

Multiply the first equation by -2:

-2a - 2b = 2 .................(3)

Add (2) + (3):

2a = 2

a = 1.

Substitute a = 1 into (2):-

4*1 + 2b = 0

2b = -4

b = -2.

7 0
3 years ago
I need to know what y is equal to. <br> 3/4 = 5/6 + y
irina1246 [14]
Well let’s make it a decimal.

.75 = .84 + Y

So if .84 is more than .75 then subtract
.75 from .84 and you have your answer then convert to fraction
7 0
3 years ago
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A teacher has 36 students who were randomly assigned to 6 rows of 6 desks. She wants to survey the students
ivanzaharov [21]

Answer:

A

Step-by-step explanation:

Edge 2021

5 0
3 years ago
If you know the distance (d) an object has moved from a reference point and the time (t) it took to move that distance, you can
love history [14]

Answer:

The answer is B.) s=d/t

Step-by-step explanation:


7 0
3 years ago
John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined
Andreas93 [3]
$32,750 + $375 = 33125
$33,125 * .06= 1987.50
$33,125+$1987.50= $35,112.50
$35,112.50+$50=$35,162.50

A. $35,162.50
6 0
3 years ago
Read 2 more answers
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