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2 years ago

X + 2y – 4z = 1 -2x – 4y + 4z = 6 -4x – 3y – 4z = 21

Mathematics

1 answer:

elena55 [62]2 years ago

6 0

Answer:

x = - 1

y = - 3

z = -2

Step-by-step explanation:

Please see steps in the image attached here.

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Joanie watched 1 3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 5 of th

saw5 [17]

Answer:Joanie watched 4/15 of the movie at night

Step-by-step explanation:

Let total amount of movie to watch = 1 whole since we are dealing with fractions

Amount of movie watched in the morning = 1/3

Amount watched at night = x

Amount remaining= 2/5

so that Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch

1 - ( 1/3 + x ) = 2/5

1- 2/5 = 1/3 + x

3/5 =1/3 + x

3/5 - 1/3 = x

9- 5/15 = x

x= Amount watched at night = 4/15

5 0

2 years ago

Graph the following equations on the graphs below. <br> ( GRAPHING PAPER NEEDED, NOT A WEBSITE )

kodGreya [7K]

First, you want to identify the slopes and y-int.

Equation 1 = y = -2x + 2

Slope = -2

y-int. = 2 or (0,2)

Equationt 2 = y = 2x + 3

Slope = 2

Y-int. = 3 or (0,3)

To graph, first plot the y-intercepts. Then do the slopes.

Slope = -2

Down 2 over 1 (to the right)

Slope = 2

Up 2 over 1 (to the right)

Then just connect the dots in a line!

5 0

2 years ago

Can you factor -2x + 6 to get -2(x - 3)

QveST [7]

Answer:

Yes

Step-by-step explanation:

Divide -2x + 6 by -2, then bring the -2 outside the bracket

6 0

2 years ago

The diameter of a circle is 8 centimeters what is the circles area

Rina8888 [55]

Answer:

50.27

Step-by-step explanation:

You split 8 in half to find radius, and multiply that by pi.

6 0

2 years ago

Read 2 more answers

A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 fe

Vanyuwa [196]

The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches

The dimension of the mirror is given as:

$Height = 24\ in$

$Width = 28\ in$

From the center of the mirror to the floor of the wall, the distance is:

$Distance =5\frac14\ ft$

So, the distance to the top of the mirror will be:

$Top = 5\frac 14\ ft + \frac 12 \times Height$

Substitute 24 for height

$Top = 5\frac 14\ ft+ \frac 12 \times 24\ in$

$Top = 5\frac 14\ ft+ 12 \ in$

Convert feet to inches

$Top = 5\frac 14\times 12\ in+ 12 \ in$

$Top = 63\ in+ 12 \ in$

$Top = 75 \ in$

The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.

So, we have:

$Distance = 8\ ft - 75\ in$

Convert feet to inches

$Distance = 8\times 12\ in - 75\ in$

$Distance = 96\ in - 75\ in$

$Distance = 21\ in$

Hence, the distance is 21 inches