1 question only (find the area)

100 Points! What are the classifications of each system?

alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent .

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

$x+5y=-2\\x+5y=4$

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

$y=3x+4\\-2x+y=4$

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

$3x+y=4$ ----> equation A

$-6x-2y=-8$ ----> equation B

Multiply equation A by -2 both sides

$-2(3x+y)=-2(4)$

$-6x-2y=-8$ ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

4 0

3 years ago

A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o

marta [7]

Answer:

2.20752 x $10^{24}$

Step-by-step explanation:

The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.

365 days refer to the total number of days per year
86,400 seconds refer to the number of seconds per day

Let's solve.

365 x 86,400 = 31,536,000 or 3.1536 x $10^{7}$

Therefore, one year has 3.1536 x $10^{7}$ seconds.

Next, you have to know the number of seconds in 10 billion years.

(3.1536 x $10^{7}$ ) x (1.0 x $10^{10}$ ) = 3.1536 x $10^{17}$

The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.

(3.1536 x $10^{17}$ ) x 7,000,000 = 2.20752 x $10^{24}$

6 0

2 years ago

Determine the volume of the rectangular prism.

Flauer [41]

Answer:

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2 $\frac{1}{2}$ and the height is 2 $\frac{1}{2}$

8 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2 $\frac{1}{2}$ = 20

20 × 2 $\frac{1}{2}$ = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

50 ft³ is our final answer

7 0

3 years ago

Which expression is not a perfect square trinomial?

puteri [66]

Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - brainly.com/question/10522355#readmore

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Put them in order smallest to largest: 1.32,1.23,1.03,3.21,3.12

dlinn [17]

Answer:

1.03, 1.23, 1.32 3.12, 3.21

4 0

3 years ago

Read 2 more answers