Find a and b to make the following matrices equal.

2 answers:

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]4 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! :)

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What percentage of 23 is 924

monitta

Well, the answer to the question in your picture is $1200.

If x is the original price, and we took 23%, or 0.23 from that, we are left with 77%, or 0.77 of the full price.

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3 years ago

Read 2 more answers

Using the given information, give the vertex form equation of each parabola.

WITCHER [35]

Answer:

Step-by-step explanation:

If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex. This information tells you a ton of stuff. First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared. This equation is

$4p(x-h)=(y-k)^2$

The information also tells us that p (the distance between the vertex and the focus) is .25. h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10. Filling in our formula:

$4(.25)(x+1)=(y+10)^2$