Solve the following 3 × 3 system. Enter the coordinates of the solution below.
2x – 3y – 2z = 4
x + 3y + 2z = –7
–4x – 4y – 2z = 10

Answers

Answer 1

9514 1404 393

Answer:

  (x, y, z) = (-1, 0, -3)

Step-by-step explanation:

We notice that the coefficients of z are such that elimination of the z term from the equations is made easy.

Adding equations 1 and 2:

  (2x -3y -2z) +(x +3y +2z) = (4) +(-7)

  3x = -3

  x = -1

Adding equations 2 and 3:

  (x +3y +2z) +(-4x -4y -2z) = (-7) +(10)

  -3x -y = 3

Substituting for x, we get ...

  (-3)(-1) -y = 3

 0 = y . . . . . . . . . . . add y-3 to both sides

Then z can be found from any equation. Substituting for x and y in the second equation gives ...

  -1 +2z = -7

  2z = -6 . . . . . add 1

  z = -3 . . . . . .divide by 2

The solution is (x, y, z) = (-1, 0, -3).


Related Questions

of 30 students. 14 were boys. 5 boys and 8 girls took packed lunch. Find the probability that a student chosen will be a girl and does not take packed lunch...
Plss help SUSSY BAKA​

Answers

Answer:

8 girls packed lunch and another 8 girls did not. There is 16 girls and 14 boys.

Step-by-step explanation:

I think that's the answer you were looking for. I really hope this helped you. :)

Answer:

Improper helping technequie.

Step-by-step explanation:

From the information in the diagram can you prove FDg aNd FDE

Answers

Answer:

Yes the ans is option a

because

Step-by-step explanation:

1. Angle f and.angle d are equal

2. Side opp. to the equal angle are equal.

Find the sine ratio of angle . Hint: Use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces.

Answers

Answer:

sine = 15/17

=sin*-1(15/17)

please can someone help me

Answers

9514 1404 393

Answer:

  68.6 square units

Step-by-step explanation:

The relevant area formulas are ...

  A = LW . . . . rectangle of length L and width W

  A = (π/4)d² . . . . . circle of diameter d

__

You have a rectangle of dimensions 4 by 14, and a circle of diameter 4. The total area is ...

  A = (4×14) +(π/4)(4²) = 4(14+π) ≈ 68.6 . . . . square units

Someone please help me

Answers

Answer:

x = 34°

Step-by-step explanation:

The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

x = [tex]\frac{1}{2}[/tex] ( AB + CD ) = [tex]\frac{1}{2}[/tex] (45 + 23)° = 0.5 × 68° = 34°

Help and you get 20 points and you will feel good i hope

Answers

Answer:

Change your greater than to less than

Step-by-step explanation:

The -1 1/4 is farther away from 0 than -1, which means it's less than -1.

Re uploaded the pic. Please help

Answers

Answer:

It would.

Step-by-step explanation:

Give me a brainiest answer please and thanks sir!

Answer:

the second one

Step-by-step explanation:

if you want to find the outlier just search it up

Directions: Type your answer in the box. Do not use spaces.
If triangles EFG and GHE are congruent, what is the measure of angle FEG?
F
G
110°
+
360
(x + 24)
E
H
ub
degrees
10

Answers

Answer:

36 cuz they are congruent

Step-by-step explanation:

Determine whether the lines given by the fallowing equations intersect at (-1/4,3/4) show all work. 4x+8y=5, x-3y= -3

Answers

Answer:

(0, 1)

Step-by-step explanation:

First, we need to make y the subject of the formula from both expressions

For 4x+8y=5

8y = 5- 4x

y = (5-4x)/5

Similarly for x-3y= -3

-3y = -3 - x

3y = x+3

y = (x+3)/3

Since both lines intersects, hence;

(5-4x)/5 = (x+3)/3

Cross multiply

5(x+3) = 3(5-4x)

5x + 15 = 15 - 12x

5x + 12x = 15 - 15

17x = 0

x = 0/17

x = 0

Sustitute x = 0 into any of the equations

Given that y = x+3/3

y = 0+3/3

y = 3/3

y = 1

This shows that the lines intesects at (0, 1)

The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *

Answers

Answer:

$72

Step-by-step explanation:

I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.

Answer:

$72

Step-by-step explanation:

You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.

So, you can do simple multiplication to find the answer:

price per game * amount of people playing game = money made from games

$2 * 36 = x

$72 = x

solution set for [4-x/2]=8

Answers

Answer:

[tex]x = - 8[/tex]

Step-by-step explanation:

[tex](4 - \frac{x}{2} ) = 8[/tex]

[tex] - \frac{x}{2} = 8 - 4[/tex]

[tex] - \frac{x}{2} = 4[/tex]

[tex] - 2 \times ( - \frac{x}{2} ) = - 2 \times 4[/tex]

[tex]−1 \times (−x)=−2 \times 4[/tex]

[tex]x=−2 \times 4[/tex]

[tex]x = - 8[/tex]

Hope it is helpful...

will give brainily for the RIGHT answer :)
At the beginning of spring, Bilquis planted a small sunflower in her backyard. When it was first planted, the sunflower was 10 inches tall. The sunflower then began to grow at a rate of 0.5 inches per week. How tall would the sunflower be after 8 weeks? How tall would the sunflower be after w weeks?
Height After 8 weeks: ?
Height After w weeks: ?

Answers

Answer:

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

Step-by-step explanation:

The equation of the sunflower is y=0.5x+10.

Height after 8 weeks: y=0.5(8)+10

y=4+10

y=14

Height After 8 weeks: 14 inches

Height after w weeks: y=0.5w+10

If this helps please mark as brainliest

someone please please help me with this !

Answers

Answer:

4y+x - 16 = 0

Step-by-step explanation:

Given the equaton y - 2 = 4 (x-1)

Get the slope of the line

y - 2 = 4x  - 4

y =  4x - 4 + 2

y = 4x - 2

Since y = mx+b for a line

mx = 4x

m = 4

Slope of a line perpendicular M = -1/4

If the line passes through the point (-4, 5)

The equation in point slope form is expressed as y-y0 = m(x-x0)

Substitute;

y - 5 = -1/4(x-(-4))

y - 5  = -1/4(x+4)

4(y-5) = -(x+4)

4y - 20 = -x-4

4y+x-20+4 = 0

4y+x - 16 = 0

This gives the required equation

Between which two integers does -√46 appear on the number line please write in words

Answers

Answer:   -√46 is between -7 and -6

==========================================================

Explanation:

List out the perfect squares

1^2 = 12^2 = 43^3 = 94^2 = 165^2 = 256^2 = 367^2 = 498^2 = 64

and so on. We can see that 46 is between 6^2 = 36 and 7^2 = 49.

We can say 6^2 < 46 < 7^2

Applying the square root to all three sides leads us to 6 < sqrt(46) < 7

Now multiply all three sides by -1. This will flip the inequality signs

We go from

6 < sqrt(46) < 7

to

-6 > -sqrt(46) > -7

It might help to order things from smallest to largest to get this

-7 < -sqrt(46) < -6

This means -sqrt(46) is between -7 and -6 on the number line

See the diagram below.

Answer:

Step-by-step explanation:

First notice that -√46 lies between -√49 and -√36, that is, between

                                                              -7   and  -6.  

Here all three numbers are negative because they lie to the left of zero (0) on the number line.

Just zoom in to see the question please

Answers

Answer:

part a- small rectangle, semi circle, big rectangle. these are the three options.

part b- cannot be solved unless height of small shaded rectangle is given

Does anyone know how to calculate 4 to the -3 power?

Answers

Answer:

Step-by-step explanation:

4^(-3) = 1/4^3 = 1/(4*4*4) = 1/64

which can also be written as 1/(2^6)

depending on your answer options.

Answer:

0.015625

Step-by-step explanation:

4^-3 = 0.015625

Quick questionnnnn :P

Answers

Answer:

44.

Step-by-step explanation:

Given expression: [tex]3t^2-t[/tex]

To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.

After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.

[tex]3(4)^2-4[/tex]

[tex]=3(16)-4[/tex]

[tex]=48-4[/tex]

[tex]=48-4=44[/tex]

[tex]\to \inft3(4)^2-4=44[/tex]

Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.

C) {(0, 1), (2.1), (0.3) Function? Explain:
Is this a function or not​

Answers

Not a function a function does not have repeating numbers

Which of the following choices represents the graph of the equation f(x) = -3x^2+ 1
O A. Parabola that opens up
O B. Parabola that opens down
o C. Parabola that opens to the left
O D. Parabola that opens to the right

Answers

C . Parabola that opens to the left

April measured her bed and made a scale drawing. The scale of the drawing was 1
centimeter = 6 inches. In the drawing, the bed is 10 centimeters long. What is the
length of the actual bed?

Answers

Answer:

60 inches

Step-by-step explanation:

Given data

We have the scale of the drawing as

1cm= 6 inches

Now if 1 cm is equivalent to 6inches

then 10cm will be x inches

Cross multiply we have

x*1= 10*6

x= 60 inches

Hence the length of the actual bed is 60inches

Calvin and Susie are running for class president of the first 80% of the balance that are accounted Susie receives 53% of the votes in Calvin really receives 47% at least what percentage of the remaining votes does California Ziv to catch up to Susie in the election

Answers

In order to overtake Susie in the election, Calvin must obtain at least 59% of the votes still cast.

Let's assume that there are a total of 100 votes in the election. If Susie receives 53% of the first 80 votes, she gets:

0.53 x 80

= 42.4 votes

And if Calvin receives 47% of the first 80 votes, he gets:

0.47 x 80

= 37.6 votes

So, Susie is currently ahead by:

42.4 - 37.6

= 4.8 votes

Now, let's assume there are N remaining votes. We want to know what percentage of the remaining votes Calvin needs to win, so we can set up an equation:

0.47 × (80 + N)

= 0.53 × (80 + N) - 4.8

Simplifying this equation, we get:

0.06 x (80 + N)

= 4.8

Dividing both sides by 0.06, we get:

80 + N = 80

N = 80

So, there are 80 remaining votes. To find the percentage of these votes that Calvin needs to win, we can set up another equation:

0.47 x (80 + 80) + x/100 x 80

= 0.53 x (80 + 80)

Simplifying this equation, we get:

37.6 + 0.8x = 84.8

Subtracting 37.6 from both sides, we get:

0.8x = 47.2

Dividing both sides by 0.8, we get:

x = 59

So, Calvin needs to win at least 59% of the remaining votes to catch up to Susie in the election.

To learn more about percentage click here

brainly.com/question/16797504

#SPJ1

Answer:

63%

Step-by-step explanation:

ik

The scale of a map says that 4 cm represents 5 km.

Part A: What distance on the map (in centimeters) does an actual distance of 4 kilometers represent?
____ centimeters

Part B: What is the actual number of kilometers represented by 5 centimeters on the map?
____ kilometres

Español

La escala de un mapa dice que 4 cm representan 5 km.

Parte A: ¿Qué distancia en el mapa (en centímetros) representa una distancia real de 4 kilómetros?
____ centímetros

Parte B: ¿Cuál es el número real de kilómetros representado por 5 centímetros en el mapa?
____ kilómetros ​

Answers

Answer:

Part A:3.2

Part B:6.25

Step-by-step explanation:

Map:Actual

4cm:5km

1cm:1.25cm

Part A:

?cm:4km

3.2cm:4km

Part B:

5cm:?km

5cm:6.25km

Help me to do this question plz plz plz
I will make you as brainlist plz​

Answers

Answer:

1. 5

2. 12

3. a. 12

3. b. 18

Step-by-step explanation:

1. 50 - 45 = 5.

2. 26 - 18 = 8. 30 - 18 = 12. 12 + 8 = 20. 20 + 18 = 38. 50 - 38 = 12.

3. a. 24 - 12 = 12.

4. 40 - 12 = 28. 24 - 12 = 12. 28 + 12 + 12 = 52. 70 - 52 = 18.

Find the values of x and y.

Answers

Answer:

x = 24

y = 59

Step-by-step explanation:

To solve for x, we can say that;

(5x) + (2x + 12) = 180

7x + 12 = 180

7x = 180 - 12

7x = 168

x = 168 / 7

x = 24

To solve fore y, we can say that;

(3y) + (y - 56) = 180

4y - 56 = 180

4y = 180 + 56

4y = 236

y = 236 / 4

y = 59

Hope this helps!

Would you rather be reborn into the past or future? Why?

Would you rather go into the past and meet your ancestors or go into the future and meet your great-great grandchildren? Why?

Would you rather have a rewind button or a pause button on your life? Why?


(I'm aware that this isn't a mathematical question, this is simply just for fun:)

Answers

Answer:

Future just cause I don't really have much interest about the past, moving forward as always. I'd like to see how things advance over time :")

I think a rewind is more useful in this case if I am able to correct my mistakes or have a moment back again, I'd like that.

Given the function f (x) =
1/2x^2+ 2x – 5, what is the value of f (10)?

Answers

Answer:

answer is 40 :)

Step-by-step explanation:

hope this helps :) have a great day!

IT KEEPS SHOWING SOME LANGUAGE FOR THE DIVISION SYMBOLS

What is the quotient?
4
2
5
다.
0 1
-2
UN
12
35
O

Answers

Answer:

-2/5

Step-by-step explanation:

Given the expression

-4/5 ÷ 2

= -4/5 * 1/2

= (-4*1)/(5*2)

= -4/10

= -2/2 * 2/5

-2/5

Hence the required values is -2/5

Sarah sights the top of the Statue of Liberty at the angle of elevation of 61. Is Sarah is 5.5 feet tall and is standing 166 feet from the base of the statue, find its height

Answers

Answer:

304.97 ft

Step-by-step explanation:

help me with this please​

Answers

Answer:

Perimeter= 20 cm

Area = 25 cm^2

Difference between 28cm^2 and 8cm^2= 20cm^2

Step-by-step explanation:

The formula to calculate the perimeter of a square is P= 4 * (the length of any side or "s").

Therefore:

P = 4 * 5cm

P = 20 cm

The formula for calculating the area of a square is A= (length of any side or "s")^2

So:

A= 5cm^2

A= 25cm^2

Remember the units in your answer!

The difference between indicates subtraction, and 28cm^2 and 8 cm^2 are like terms so:

28cm^2 - 8 cm^2 = 20 cm^2

Which of the following represents the factorization of the polynomial function
graphed below? (Assume it has no constant factor.)
O A. y = (x+3)(x+5)
B. y = (x-3)(x +5)
C. y = (x-3)(x-5)
O D. y = (x+3)(x-5)

Answers

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

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