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Alexxx [7]
3 years ago
5

3=3, 2x1+x2-2x3=1, 3x1+4x2-5x3=5" alt="x1+2x2-x3=3, 2x1+x2-2x3=1, 3x1+4x2-5x3=5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
o-na [289]3 years ago
7 0

Answer: x1 = 0; x2 = 5/3; x3 = 1/3

x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6

                                2x1 + x2 - 2x3 = 1

=> 4x2 - x2 = 5

⇔ 3x2 = 5

⇔ x2 = 5/3

with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3

                                        3x1 - 5x3 = 5 - 4.5/3 = -5/3

=> x1 = 0

    x3 = 1/3

Step-by-step explanation:

You might be interested in
How many 5/8s are in 15/4​
Rudiy27

Answer:

6

Step-by-step explanation:

15/4 = 30/8

(30/8)/(5/8)

=6

7 0
4 years ago
A steel pipe which was 16.84 feet long, weighed 20.88 pounds what is the weight of one foot of the steel pipe?
vfiekz [6]
The weight of one foot of the steel pipe is 1.24 pounds or more accurately, 1.239905.... pounds.

This type of problem is solved using cross multiplication. You know the length (16.84 feet), and the weight (20.88 pounds), of the steel pipe. But what you do not know is the weight of one foot of the steel pipe. Since that is what we are solving for, the weight of one foot of the steel pipe will be our x variable.

This is how I set it up...

16.84 1
——— * ———
20.88 x

I came up with this equation. The length of the pipes I put in the numerator (top), and the weight I put in the denominator (bottom). Since 16.84 feet of a steel pipe weighs 20.88 pounds, 1 foot of a steel pipe weighs x pounds. After you have the equation set up you then move on to cross multiplication.

Step 1: Multiply the top number of the first fraction by the bottom number of the second fraction.
16.84*x= 16.84x

Step 2: Multiply the bottom number of the first fraction by the top number of the second fraction.
20.88*1=20.88

Step 3: Set the answers from step 1 and step 2 equal to each other.
16.84x=20.88

Step 4: Divide 16.88 on both sides so x is by itself.
16.84x 20.88
——— = ———
16.84 16.84

And after you divide on each side you have your answer which should be x=1.24
4 0
3 years ago
Eric was attempting to construct a perpendicular bisector to the segment AB with a
matrenka [14]

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

<h3>Steps in constructing a perpendicular bisector</h3>

The steps involved in constructing a perpendicular bisector are:

  • Draw a line segment XY of any appropriate length.
  • Take a compass, and with X as the center and with more than half of the line segment XY as width
  • Draw arcs above and below the line segment.
  • Repeat the same step with Y as the center.
  • Label the points of intersection as 'P' and 'Q'

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Learn more about perpendicular bisectors here:

brainly.com/question/11006922

#SPJ1

4 0
2 years ago
PLZ HELP
Viktor [21]
Height=25m
diameter=1.8m
so radius=0.9m
soil dugged out to.make well=vol.of well
=pi×r^2×h
=3.14×0.9×0.9×25
=3.14×25×0.81
=63.585m^3
6 0
3 years ago
Read 2 more answers
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)
devlian [24]
The answer to the question is 15x+30-64
7 0
3 years ago
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