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
hichkok12 [17]
3 years ago
10

Write a matrix equation for the given systems of equations.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

You might be interested in
Which are examples of unit rates? Check all that apply. A) 100 students for every 2 buses B) 1 teacher per 25 students C)4 penci
AleksandrR [38]

Answer:

C) 4 pencils for each student

D) 8 students per team

Step-by-step explanation:

A unit rate is the number of unit of the first type of a quantity corresponding to one unit of the second type of quantity.

That is, if a and b are two quantities,

Then, unit rate of quantity a = x units of 'a' per 1 unit of 'b' or x units of 'a' for 1 unit of 'b'

By the above statement,

The example of unit rates from the given options are,

4 pencils for each student,

8 students per team

6 0
3 years ago
Read 2 more answers
A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte
SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

6 0
3 years ago
A line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?
Pie
Answer:
u = -2

Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)

Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2

Hope this helps :)

6 0
4 years ago
Every weekday, Mr. Jones bikes from his home to his job. Sometimes he rides along two roads, the long route that is shown by the
notka56 [123]

Answer:

(A)6 kilometers

Step-by-step explanation:

First, we determine the value of a using Pythagoras Theorem.

Hypotenuse^2=Opposite^2+Adjacent^2\\17^2=a^2+15^2\\a^2=17^2-15^2\\a^2=289-225\\a^2=64\\a^2=8^2\\a=8$ km

Therefore:

Distance along the long route = 8 + 15 =23 km

Distance along the shortcut =17 km

Difference =23-17 =6km

Therefore, Mr. Jones bikes 6km less when he takes the shortcut instead of the long route.

5 0
3 years ago
Read 2 more answers
What is 7/200 as a decimal
Hitman42 [59]
(7 / 2 ) / 100 

3.5 / 100 

0.035 

So your answer is 0.035
8 0
3 years ago
Other questions:
  • A student working on a summer internship in the economic research department of a large corporation studied the relation between
    10·1 answer
  • There are 40 students at Bali high who play stringed instruments. Of these, 1/4 play viola, 1/5 play cello, and the rest play vi
    12·2 answers
  • How many tables are needed ~~~~~PLEASE HELP
    10·1 answer
  • Solve using the quadratic formula.
    7·1 answer
  • 1. Complete the sentences to make true statements.
    11·1 answer
  • How can I turn this into a graph in Desmos,
    9·2 answers
  • Which number is larger 0.707 or 0.71?
    9·2 answers
  • In the trapezoid, what is the measure of 1?
    10·1 answer
  • Please help im stuck
    6·1 answer
  • Simplify: 16 - [11 - {8+ (17 +3x2 - 19)}]
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!