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Vikki [24]
3 years ago
9

Solve the problems using a system of equations.

Mathematics
2 answers:
evablogger [386]3 years ago
7 0

step-by-step explanation:1true 22

vampirchik [111]3 years ago
6 0

Answer:

the answer is 20 questions.

Step-by-step explanation:

:)

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NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
ehidna [41]

We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix product will be:

\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

-b + 2 = 1

This means that:

b = 2 - 1 = 1

  • b = 1

We also need to have:

a*b + 1 = 0

we know the value of b, so we just have:

a*1 + b = 0

  • a = -1

Now the two remaining equations are:

-c + 2d = 0

a*c + d = 1

Replacing the value of a we get:

-c + 2d = 0

-c + d = 1

Isolating c in the first equation we get:

c = 2d

Replacing that in the other equation we get:

-(2d) + d = 1

-d = 1

  • d = -1

Then:

c  = 2d = 2*(-1) = -2

  • c = -2

So the values are:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
2 years ago
To legally drive a off-road vehicle, your age, a, must be 13 or over. Which of the following inequalities represents this senten
seropon [69]

Answer:

1.

Step-by-step explanation:

The > symbol shows that you have to be older than 13, and there must be a line underneath to signify a can be equal to the number (meaning you can be 13 to do this).

7 0
3 years ago
Read 2 more answers
What is the equation of a line passing through the points (-3,<br> -2) and (2, 0)?
Lostsunrise [7]

Answer:

y=0.400x+-0.800

Step-by-step explanation:

Given the following question:

point A = (-3, -2)
point B = (2, 0)

To write the equation of the line that passes through two points we have to write the points in slope intercept form.

Formula for slope intercept:

y=mx+b

M is equal to the slope of the two points, so first we need to fine the slope of the two points.

(-3,-2)=(x1,y1)
(2,0)=(x2,y2)

m=\frac{y2-y1}{x2-x1}
m=\frac{0--2}{2--3} =\frac{2}{5}
m=\frac{2}{5} =0.400

y=mx+b
y=-2
m=0.400
x=-3
-2=0.400(-3)+b
0.400\times-3=-1.20
-2+1.2=-0.800
b=-0.800

y=0.400x+-0.800

Hope this helps.

7 0
2 years ago
Who want s to talk?<br> what is 2x2+6+9+3-1x2<br> i will give brainly to the right answer
Ivenika [448]

Answer:

20

Step-by-step explanation:

youre welcome

6 0
3 years ago
Read 2 more answers
A(-2,3)<br> B(2,3)<br> C(2,-3)<br> D(-2,-3)<br> Math question please help
Snowcat [4.5K]
The number on the left is the x, and the number on the right is the y. so if the x is negative, then it would be on the x axis line. and you always use the x line first.
3 0
3 years ago
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