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slava [35]
3 years ago
15

When using Cramer's Rule to solve a system of equations, if the determinant of the coefficient matrix equals zero and at least o

ne numerator determinant is zero, then the system _____________________.
A. is consistent
B. is dependent
C. is inconsistent
D. has no solution
Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

  B. is dependent

Step-by-step explanation:

The denominator determinant will be zero when the coefficients of the variables are dependent. One of the numerator coefficients will be zero when the coefficients involved are dependent. Hence using Cramer's Rule will result in the ratio 0/0 when the system is dependent.

___

The ratio will be 1/0 if the system is inconsistent (has no solution).

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The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fif
stepan [7]

Answer:

B) -3                                 (Sorry if its overwhelming)

Explanation:

First, we have the given information of the weather over a <em>2</em> and <em>1/5</em> <em>span</em>

And we are asked to find the change per hour

We can first start by finding the <em>change</em> for 2 and 1/5 hours:

- Subtract the first amount by the second amount.

= (-6 3/5) - 0

= (-6 3/5) + 0

= -6 3/5

Now that we have the change for <em>2 and 1/5 hours</em> we must find the <em>change</em> per hour:

- Divide the given dividend by the given divisor

= -6 3/5 ÷ 2 1/5

= -3

Hence, the temperature <em>change per hour</em> over a 2 1/5 hour span is -3° per hour

7 0
3 years ago
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sound travels 1,500 m/s through water at 25 degrees celciesunder these conditions how long would it take to travel 300m
Fantom [35]

Answer: it would take 18,00 M/S

Step-by-step explanation:

First you have to fined the unit rate

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Can someone plz help me
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4 0
2 years ago
Given ΔKLM with lengths as marked, what is the relationship of segment NO to segment KL?
Oliga [24]

Segment NO is parallel to the segment KL.

Solution:

Given KLM is a triangle.

MN = NK and MO = OL

It clearly shows that NO is the mid-segment of ΔKLM.

By mid-segment theorem,

<em>The segment connecting two points of the triangle is parallel to the third side and is half of that side.</em>

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6 0
3 years ago
Avery received $80 in cash for mowing lawns. She did the following with the $80. Put 20% of the $80 into a bank account. Spent 1
PolarNik [594]

Answer:

$48

Step-by-step explanation:

To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).

Step 1) 80 x .2 = 16

Step 2) 80 - 16 = 64

Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.

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Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.

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3 years ago
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