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3 years ago

I need help with number 12

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer:

( C ) Because U.S hospital admission has only 5% of Hospital-Acquired infections

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Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?

diamong [38]

The equation perpendicular to the line passing through the points (-4,7) and (1,3) is $y=\frac{5}{4}x-2$

<h3>Equation perpendicular to a line</h3>

The slope of the given line is calculated as:

$m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{3-7}{1-(-4)} \\\\m=\frac{-4}{5}$

The equation perpendicular to the given line will be of the form

$y-y_1=\frac{-1}{m} (x-x_1)$

Substitute $x_1=-4, y_1=7, and m=\frac{-4}{5}$

$y-7=\frac{5}{4}(x+4)\\\\ y=\frac{5}{4}x+5-7\\\\ y=\frac{5}{4}x-2$

Therefore, the equation perpendicular to the line passing through the points (-4,7) and (1,3) is $y=\frac{5}{4}x-2$

Learn more on perpendicular equations here: brainly.com/question/1441594

#SPJ1

6 0

2 years ago

David had 20 apples he gave his friend 10 how much does he have left<br>

sasho [114]

Answer:

Step-by-step explanation:

He had 20 but gave his friend 10 apples and now he has 10. It is just subtraction.

20 - 10 = 10

7 0

3 years ago

Read 2 more answers

In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsi

wlad13 [49]

Answer:

20 three-point scores

61/3=20 R1

5 0

3 years ago

Read 2 more answers

Can some one help me ??? Anyone ?

Leya [2.2K]

$((-2)^2-4)^3+4\cdot(-5)=\\
(4-4)^3+(-20)=\\
0^3-20=\\
0-20=\\-20$

6 0

3 years ago

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE

Furkat [3]

Answer:

x = -6 and x = 4

Step-by-step explanation:

In math, the critical points of a function are the points where the derivative equals zero.

So, first we will find the derivative of the function. The derivative is:

$f'(x)=3x^2 +6x-72$

Now, we are going to make the derivative equal zero and find the answers of the equation.

$3x^2 +6x-72=0\\3(x^2 +2x-24)=0\\3(x+6)(x-4)=0\\$

So we have that the critical points are the answers to this equation:

$x+6= 0 \\x= - 6$

and

$x-4=0\\x=4$

Thus, the critical points are x=-6 and x=4

8 0

3 years ago