Ask question

Ask question

All categories

Maksim231197 [3]

3 years ago

15

Line n passes through points (7, 12) and (4, 15). What is the slope of a line that

1 answer:

vitfil [10]3 years ago

3 0

So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.

First we need to find our slope, to do this we take the change in y over the change in x like so:

(15-12)/(4-7) = - 3/4

The slope perpendicular to this is 4/3.

You might be interested in

I could use some help!!

12345 [234]

Answer:

84

Step-by-step explanation:

The interquartile range is obtained using the relation :

Third quartile (Q3). - First quartile (Q1)

From. The boxplot :

Q3 = 96

Q1 = 12

Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84

6 0

2 years ago

D/−9 ≤ −8 plz help me

kap26 [50]

D/-9<=-8 multiply both sides by -9
d,=72

7 0

3 years ago

What is the maximum value of the objective function, P, with the given constraints?

maksim [4K]

Answer:

Option C - 420

Step-by-step explanation:

Given : Objective function, P, with the given constraints

$P=20x+35y$

Constraints,

$x+y \leq 12$

$5x+y \leq 20\\x \geq 0\\y \geq 0$

To find : What is the maximum value

Solution :

First we plot the graph through the given constrains.

As they all move towards the origin the common region of the equations is given by the points (0,0), (0,12), (2,10), (4,0)

Refer the attached figure.

So, we put all the points in P to, get maximum value.

$P=20x+35y$

Point (0,0)

$P=20(0)+35(0)=0$

$P=20x+35y$

Point (0,12)

$P=20(0)+35(12)=420$

Point (2,10)

$P=20(2)+35(10)=40+350=390$

Point (4,0)

$P=20(4)+35(0)=80$

Therefore, The value is maximum 420 at (0,12)

So, Option C is correct.

8 0

3 years ago

Please come and help really quick please thank you

professor190 [17]

Answer:

1: 6

2: The initial amount of water in the fountain

3: The amout of water in the fountain over an amount of time

4: y= 3/2x+6

Step-by-step explanation:

7 0

3 years ago

There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If

sammy [17]

Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

3 0

2 years ago