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
anyanavicka [17]
3 years ago
13

The following system has a solution: x=10, y=-3, z=14

Mathematics
1 answer:
wolverine [178]3 years ago
5 0
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

You might be interested in
If equation for the straight line passing through the point (-2; 3 ) and (- 3; 2)
galina1969 [7]
The equation for that line is y=x+5
4 0
3 years ago
State if the two triangles are congruent, if they are state how you know.
Mnenie [13.5K]

Answer:

I belive it would be HL because its defenitly not SSS

Step-by-step explanation:

HL Postulate is if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

4 0
3 years ago
Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping
seraphim [82]
She used 54.04 sq ft of wrapping paper
5 0
3 years ago
Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P: y = 9x^2 + 5 ; P (2,41)
Flauer [41]

Answer:

(a) 36

(b) y = 36x-31

Step-by-step explanation:

(a) dy/dx = 18x

slope of tangent at (2, 41) = 18(2)

= 36

(b) using y-y1 = m(x-x1)

y-41 = 36(x-2)

y = 36x-31

6 0
3 years ago
Rachel earned $34 in 4 hours at her job today. She wants to know how much she could earn (e) tomorrow if she works 10 hours at t
Contact [7]
$34 divided by 4 = $8.5 per hour.
$8.5 Times 10 hours = $85
So she would earn $85
6 0
3 years ago
Other questions:
  • I don't know how to do this, can someone explain me ​
    14·1 answer
  • Factor 3n^3-6n^2+4n-8
    8·2 answers
  • (-2.5,-4)and(1.5,-2)
    10·1 answer
  • Find the value of x and then find the length of RT<br> RT =<br> X=
    13·1 answer
  • How does the relationship between multiplication and division help you divide rational numbers?
    10·2 answers
  • A newborn baby's weight is recorded each month, from the day of birth until 12 months. One baby's weights, in pounds, are record
    6·2 answers
  • Can 50/60 be rounded by 10
    6·1 answer
  • Estimate 68×23 please
    15·1 answer
  • Imagine that you're on a game show, and you're given the choice of a mystery prize behind one of three doors: Behind one door is
    7·1 answer
  • Does anyone know this :-)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!