1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ahat [919]
3 years ago
14

I'm confused on how to go about solving this, I got to this part:

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

  • (3, -4, 6)

Step-by-step explanation:

The last equation has 2 variables

If we double the first equation and subtract the second one from it, we get rid of y and then comparing the new equation with the last one we can easily solve it

<u>Step 1</u>

  • 2(2x + y + 3z) = 2*20
  • 4x + 2y + 6z = 40

<u>Step 2</u>

  • 4x - x + 2y - 2y + 6z - (-z) = 40 - (-11)
  • 3x + 7z = 51

<u>Step 3</u>

  • 3x + 7z - (3x - 2z) = 51 - (-3)
  • 7z + 2z = 54
  • 9z = 54
  • z = 6

<u>Then finding x</u>

  • 3x - 2*6 = -3
  • 3x = 12 - 3
  • 3x = 9
  • x = 3

<u>Then finding y using the first equation</u>

  • 2*3 + y + 3*6 = 20
  • y + 24 = 20
  • y = -4

<u>The answer:</u>

  • (3, -4, 6)
You might be interested in
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
AlekseyPX
The answer is
\frac{-6i-3}{5}.

Before we rationalize the denominator, we must simplify the numerator and denominator.  We evaluate the square root on the top, and combine like terms on the bottom:
\frac{\sqrt{-9}}{(4-7i)-(6-6i)}&#10;\\&#10;\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}&#10;\\&#10;\\=\frac{3i}{-2-i}

To rationalize the denominator, we multiply by the conjugate.  The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign.  The conjugate of -2-i is -2+i:

\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}&#10;\\&#10;\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}&#10;\\&#10;\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}&#10;\\&#10;\\=\frac{-6i+3i^2}{4-2i+2i-i^2}&#10;\\&#10;\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}
7 0
3 years ago
Jasmine knows that the area of a rectangle is the product of its base and height. Help her write an expression that represents t
Arlecino [84]

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

6 0
2 years ago
What is the relationship between Za and Zb? D А E a 6 С B Choose 1 answer: A Vertical angles ® Complementary angles B C Suppleme
Free_Kalibri [48]

Answer:

D. none of the above.

Step-by-step explanation:

   

7 0
2 years ago
Find the product and express your answer in scientific notation. (1.3 x 10-6)(4 x 1010)
sveticcg [70]
(1.3\cdot10^{-6})(4\cdot10^{10})=(1.3\cdot4)(10^{-6}\cdot10^{10})=5.2\cdot10^{-6+10}\\\\=\boxed{5.2\cdot10^4}
3 0
3 years ago
Solve for w.<br> 4 = 0.25(w-4.3)
Snezhnost [94]

W=20.3

solve what's in the parenthesis, move the terms, calculate, then divide both sides.

8 0
3 years ago
Other questions:
  • Consider the quadratic function LaTeX: f\left(x\right)=8x^2-7x+6f ( x ) = 8 x 2 − 7 x + 6. What is the constant of the function?
    6·2 answers
  • What is the derivative of e^x/3
    8·2 answers
  • How do you write 888,000,000 in science notation form
    10·2 answers
  • What is the central limit theorem?
    15·1 answer
  • PLEASE HURRY WILL GIVE BRAINLIEST!!<br><br> What is the surface area of this rectangular prism?
    9·2 answers
  • Which of these transformations are isometries?
    14·1 answer
  • A different class has 285 students, and 51.2% of them are men. how many men are in the class?​
    11·1 answer
  • Express 32^1/5 in simplest radical form
    7·1 answer
  • Find the measures of the numbered angles in each isosceles trapezoid.
    7·1 answer
  • Which is the only state that uses to calculate its area
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!