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
tatiyna
3 years ago
11

Find a and b to make the following matrices equal.

Mathematics
2 answers:
Inessa [10]3 years ago
8 0
Each spot in the matrix should equal the same spot in the other matrix. See how the constants match up?

So then you have two equations for the two spots with a' and b's.
a + 2b = -a
a + 4 = 2a - 3b

That first equation tells us that b = -a 
a + 2b = -a
2b = -2a
b = -a

Sub -a in for b in the other equation.

a + 4 = 2a - 3(-a)
a + 4 = 2a + 3a
a + 4 = 5a
4 = 5a - a
4 = 4a

a = 1
then b = -1



podryga [215]3 years ago
4 0
We need the following to be true
a+2b = -a
a+4 = 2a - 3b

Let's look at the first equation.
a + 2b = -a
Subtract both sides by a
2b = -2a
b = -a

Substitute b= -a into the second equation
a+4 = 2a + 3a
a + 4 = 5a
4a = 4
a = 1

Just take the negative of that and you get the value of b.
b = -1

Your solution is a=1 and b = -1.

Have an awesome day! :)
You might be interested in
PLEASE HELP!! Fr do anything
Eduardwww [97]

Answer:

1)=38 /// 2)=116 /// 3)=102 /// 4)=41

Step-by-step explanation:

7 0
3 years ago
A rancher has 4000 ft. of fence for constructing a rectangular corral that is divided into 3 equal sections. one side of the cor
ryzh [129]
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy

Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y

Substituting for x in the area equation,

A = (4000-2y)y = 4000y - 2y^2

For maximum area, dA/dy = 0

Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft

And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft

The  dimensions of the corral are: 2000 ft by 1000 ft.

Area, A = xy = 2000*1000 = 2000,000 ft^2
3 0
2 years ago
There are 25 students in my class and I have to arrange the desks in rows. I want to be sure the rows are even so there will be
jasenka [17]

Answer:

5 desks and 5 rows.

Step-by-step explanation:

6 0
3 years ago
Jose must plant 380 trees. In the past 7 days Jose planted 266 trees. If he continues at this rate, how many more days will it t
Sonja [21]

Answer:

16 days

Step-by-step explanation:

because

380-266=114

114 divided by 7= 16

3 0
3 years ago
SHOW YOUR WORK!!!! marking best answer with brainliest :))
Mila [183]

Answer:

x=11

Step-by-step explanation:

(x-3)/2=(x+1)/3

multiply (x-3)(3) and 2(x+1)

3(x-3)=2(x+1)

3x-9=2x+2

Get the variables on one side and numbers on another

3x-2x=3+9

x=11

3 0
3 years ago
Read 2 more answers
Other questions:
  • I am so confused , what is the answer to 5x=-2x+49?!​
    11·2 answers
  • Can someone explain this to me? I'm stuck.
    7·2 answers
  • 2 of 5
    6·1 answer
  • Every night Nathan has to read at least 25 minutes. Write an inequality that shows how long Nathan can read each night
    11·2 answers
  • I need this simple question answered pls
    12·1 answer
  • -3,-12,-48,-192<br> What is the 8th term of this sequence?
    15·1 answer
  • 18. m21 S 21. Guided​
    10·1 answer
  • Please help its my last question
    5·1 answer
  • One number is 1 more than 7 times the other number. If their sum is 73 more than
    9·2 answers
  • What is the product? [4 2] x
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!