All categories

3 years ago

Solve the following system of equations for all three variables.

1 answer:

6 0

  5x - 2y + 1z = 8 ⇒   5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13

5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9

-4x + 3z = 13
  -18x - 3z =   9
-22x = 22
  -22 -22
  x = -1
  -18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3

5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
  + 2 + 2
  -2y = 10
-2   -2
y = -5
  (x, y, z) = (-1, -5, 3)

You might be interested in

in a classroom training student has to create a triangle pyramid using various items. Each group then used measurement to determ

balandron [24]

The formula for the volume of pyramid is,

$V=\frac{Bh}{3}$

Here, B is base area and height of pyramid.

The volume expression for group 4 is,

$V=\frac{1}{3}\cdot(\frac{8\cdot4}{2})\cdot9$

Here, expression,

$\frac{8\cdot4}{2}$

represents the base area and 9 represent the height of pyramid.

So height of the pyramid created by group 4 is 9.

Answer: 9

3 0

1 year ago

Which expression gives the prime<br> factorization of 80?<br> I need help please..

Alja [10]

The correct answer is actually choice D.

8 0

3 years ago

You want to know if an octopus (octopi are very intelligent!) can tell the difference between circles and rectangles. You provid

nikklg [1K]

Answer:

Yes

Step-by-step explanation:

The octopus chose the rectangles 68% of the time. From this observation you can tell that the octopus has learned there is food under the rectangular shape. Its cognitive abilities are less than a human's, but they are able to discern a rectangle from a circle with success.

Good luck ^^

4 0

3 years ago

Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and

lara31 [8.8K]

*see attachment below showing the dot plot and box plot created by Tia

Answer:

Dot plot

Step-by-step explanation:

In a dot plot, the temperature of a day is represented by 1 dot. There are 30 dots on the box plot shown in the attachment that was made by Tia.

This dot plot display makes it easier to find how many days had a temperature that is higher than 15°.

Thus, from the dot plot, we have:

2 dots representing 2 days having a temperature of 16°C each

2 days also have daily temperature of 17°C

2 days have temperature of 18°C as well, and

1 day has temperature of 19° C.

Therefore, the number of days that had a temperature above 15°C is 7 days.

3 0

3 years ago

Read 2 more answers

ANSWER PLEASE GIVING BRALIEST AND 50 POINTS 50!

shepuryov [24]

213+497=710 total students, so 213 wore a silly hat so that would be 30% wore the silly hats

3 0

3 years ago