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Nutka1998 [239]
2 years ago
8

Write an equation of the line that passes through the points (2, 5) and (6, 7)

Mathematics
1 answer:
Contact [7]2 years ago
5 0

Answer:

y = \frac{1}{2}x +4

Step-by-step explanation:

1. Find the slope of the line by plotting the points or by using the equation to find the slope.

2. Plot the line using the slope and find the y-intercept, which is 4.

3. Put your information together to get the equation y = \frac{1}{2}x +4.

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Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).
Gnoma [55]

Answer:

(-3, -2)

Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

x - 4y = 5

x = 4y + 5

Now lets put that into the second equation

2x - 2y = -2

2(4y + 5) - 2y = -2

6y + 10 = -2

6y = -12

y = -2

Now lets find x!

x = 4y + 5

x = 4(-2) + 5

x = -3

Now lets format the answer like the question says (ordered pair)

(-3, -2)

Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.

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3 years ago
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lorasvet [3.4K]

Answer:

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3 years ago
The function g(t) = - 16t2 + vt + h represents the height of an object, g, in feet, above the ground in relation to the time, t,
timurjin [86]

Answer:

g(t) = -16t^2+80t.

Step-by-step explanation:

We are given that v=80 and h=0 (because that's the ground), so substituting that into g(t) = -16t^2+vt+h gives g(t) = -16t^2+80t.

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Two points A and B are A (0,1) and B (2,4). Write down the eqaution of the line perpendicular to AB and Passing through the poin
Zielflug [23.3K]

Answer:

y = -2x/3 + 2

Step-by-step explanation:

A(0,1), B(2,4)

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Point to lie on perpendicular, P(0,2)

Equation of perpendicular, point-slope form

(y-yp) = m(x-xp)

y-2 = -(2/3)(x-0)

y = -2x/3 + 2

6 0
3 years ago
2. Simplify:<br> b. 3(2x + 4y)
Nutka1998 [239]

Answer:

(6x+12y)

Step-by-step explanation:

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