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2 years ago

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]2 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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Which of the following is the radical expression of a to the four ninths power ?

LuckyWell [14K]

Given expression in exponential form : $a^{\frac{4}{9} }$ .

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Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.

We can apply following rule:

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2 years ago

Credit sales are collected as follows:65 percent in the month of the sale.25 percent in the month after the sale.10 percent in t

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Answer:

Step-by-step explanation:

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= ($121,100 - $87,300) / 0.20

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b) December sales = Uncollected sales from December / Collection rate of the previous month sales,

Therefore: December sales = $87,300 / 0.45 = $194,000

December sales = $194,000.00

c) Each month's collection for the company are:

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January collections = 0.20($169000.00) + 0.25($194,000.00) + 0.55($132,000)

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February collections = 0.20($194,000.00) + 0.25($132,000) + 0.55($149,000)

February collections = $153,750.00

March collections = 0.20($132,000) + 0.25($149,000) + 0.55($164,000)

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3 years ago

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Answer: (x-4)² +(y+5)²=121

Step-by-step explanation:

Happy to help :)

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Answer:

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The (interior) bisector of an angle, also called the internal angle bisector (Kimberling 1998, pp. 11-12), is the line or line segment that divides the angle into two equal parts. The angle bisectors meet at the incenter.

Sources: Wiki

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