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Scorpion4ik [409]
3 years ago
5

• Which of the following equations represents a line that is perpendicular to

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:

C

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 = - 4x + 9 ← is in slope- intercept form

with slope m = - 4

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-4} = \frac{1}{4}, hence

y = \frac{1}{4} x + c ← is the partial equation of the perpendicular line

To find c substitute (4, 5) into the partial equation

5 = 1 + c ⇒ c = 5 - 1 = 4

y = \frac{1}{4} x + 4 ← equation of perpendicular line → C

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alexandr1967 [171]

y = 7

x = 4 is a vertical line parallel to the y- axis passing through all points with an x- coordinate of 4

A line perpendicular to x = 4 will be a horizontal line parallel to the x- axis with equation y = c where c is the value of the y- coordinate the line passes through.

line passes through (5 , 7) with y- coordinate 7

The equation is therefore y = 7


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3 years ago
The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) =
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Answer:

B. $39550

Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

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substituting we have

C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550

$39550

3 0
2 years ago
You have 6,000 with which to build a rectangular enclosure with fencing
Dominik [7]
What is the question asking
7 0
3 years ago
PLEASE ANSWER ASAP! SHOW WORK PLEASE (IF POSSIBLE)
Annette [7]
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3 years ago
A bathtub contains 12 gallons of water. With these 12 gallons, the bathtub is only 30% full. How many gallons of water can the b
Pachacha [2.7K]

Answer:

40 gallons

Step-by-step explanation:

Let the number of gallons that would completely fill the bathtub be represented by N.

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N = \frac{1200}{30}

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The number of gallons that would completely fill the bathtub is 40 gallons.

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2 years ago
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