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Marat540 [252]
3 years ago
7

Which equation represents a line that passes through (2,-1/2) and has a slope of 3 ?

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

C. y + \frac{1}{2} = 3(x - 2)

Step-by-step explanation:

Given

Point:  (2,\frac{-1}{2})

Slope: 3

Required

Equation of line

Let m represents the slope of the line;

m is calculated as thus

m = \frac{y - y_1}{x - x_1}

where (x_1,y_1) = (2,\frac{-1}{2})

So; x_1 = 2; y_1 = \frac{-1}{2}

m = 3

By substituting the right values in the formula above;

m = \frac{y - y_1}{x - x_1} becomes

3 = \frac{y - \frac{-1}{2}}{x - 2}

Multiply both sides by (x - 2)

3 *(x - 2) = \frac{y - \frac{-1}{2}}{x - 2} *(x - 2)

3 *(x - 2) = (y - \frac{-1}{2})

3 *(x - 2) = (y + \frac{1}{2})

3(x - 2) = (y + \frac{1}{2})

3(x - 2) = y + \frac{1}{2}

Reorder

y + \frac{1}{2} = 3(x - 2)

Hence, the equation that represents the line is y + \frac{1}{2} = 3(x - 2)

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mel-nik [20]

Answer:

9 is the answer

Step-by-step explanation:

  • 3(2-3+4)
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6 0
3 years ago
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Write the equation of the line that passes through 7, 0 and is parallel to y = -3x + 4​
Mazyrski [523]

Answer:

y = - 3x + 21

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes , then

y = - 3x + c ← is the partial equation

To find c substitute (7, 0 ) into the partial equation

0 = - 21 + c ⇒ c = 0 + 21 = 21

y = - 3x + 21 ← equation of parallel line

8 0
2 years ago
7. Jerry has 23 coins in nickels, n, and dimes, d. He
aliya0001 [1]

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

7 0
3 years ago
Martin had 24
inna [77]

Answer:

its C

Step-by-step explanation:

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3 years ago
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Shtirlitz [24]

Answer:

7.5

Step-by-step explanation:

1 foot is 12 inches so I just divided.

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