Y=2x-4 What are the five ordered pairs

Point k is on line segment JL. Given JL = 4x+2, KL = 5x-6, and JK = 3x, determine the numerical length of JK.

hoa [83]

Answer:

6 units

Step-by-step explanation:

JK + KL = JL

3x + 5x-6 = 4x+2

8x-6 = 4x+2

subtract 4x from each side to get:

4x - 6 = 2

add 6 to each side to get:

4x = 8

x = 2

JK = 3x and x=2 so JK = (3)(2) or 6

5 0

3 years ago

The drama club at Math Academy High School sold tickets to their end of the year play. On Monday they sold 80 tickets for a tota

riadik2000 [5.3K]

Answer: OPTION A

Step-by-step explanation:

Let be "a" the number of adults tickets they sold and "s" the number student of tickets they sold.

With the information given in the exercise you can set up the following System of equations:

$\left \{ {{a+s=80} \atop {6a+4.5s=426}} \right.$

Use the Elimination method to solve the system of equations:

1. Multiply the first equation by -6.

2. Add the equations.

3. Solve for "s" in order to find its value.

Then:

$\left \{ {{-6a+-6s=-480} \atop {6a+4.5s=426}} \right.\\............................\\-1.5s=-54\\\\s=36$

4. Finally, substitute the value of "s" into the first equation and solve for "a":

$a+36=80\\\\a=80-36\\\\a=44$

3 0

4 years ago

A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the magnitude of the displacement (on a

Nuetrik [128]

Answer:16

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help lol please i don’t know which one it is

Lana71 [14]

Answer:

I think your correct

Step-by-step explanation:

8 0

4 years ago

Determine the equation of the line passing through the points (-1, 1) and (1, 7).

evablogger [386]

Answer:

$3x + y = -4$

Step-by-step explanation:

We were given to points on the line we are trying to find, hence we are able to determine the slope/gradient.

$( - 1, \: 1) \: and \: (1, \: 7) \\ slope = \frac{ {y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} } \\ \\ s = \frac{7 - 1}{1 - ( - 1)} \\ s = \frac{6}{2}$

Slope is equal to 3.

Since we have the value for the slope, we can now use one of the points on the line to determine the equation of the line.

note that the coefficient of x is the slope. In this case the A from the standard form (Ax + By= C) is the slope.

$\\ let \: us \: use \: the \: point \: ( - 1, \: 1) \\ a = 3 \: \: \: \: y = 1 \: \: \: x = - 1\\ ax + by = c \\ 3( - 1) + 1 = c \\ - 3 + 1 = c$

$- 2 = c \\ therefore \: the \: equation \: of \: the \\ \: line \: is \\ ax + by = c \\ 3x + y = - 4$

8 0

3 years ago