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3 years ago

I need a little help! Can someone check my work? It's a written response with linear systems.

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

5 0

Answer:

I'd say you need to be more specific.

Step-by-step explanation:

"Different" doesn't tell you much.

Consider the equations ...

y = 2x + 1
4x - 2y = -2

These equations are "different", but they are dependent.

_____

I'd mentally (or actually) put the equations in the same form and compare the coefficients of x and y. If they have different ratios, the system is independent and consistent.

If they have the same ratio, the system will not have a single solution. Whether there is no solution or an infinite number of solutions depends on the constant, which I would examine next.

The system above can be put in the form

2x -y = -1
4x -2y = -2

In both cases, the ratio of the x coefficient to the y coefficient is 2/-1 = 4/-2 = -2. This means the lines are at least parallel, if not identical. The numbers in the second equation are all 2 times the numbers in the first equation, so the equations are dependent, and there are an infinite number of solutions. (Both describe the same line.)

If the second equation were 4x -2y = 1, then the two equations would be describing parallel lines, so they would be called inconsistent.

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segment MN is shown. Point M is located at (7,6). Point N is located at (7,-4) What is the midpoint segment of MN

Luda [366]

Answer:

The midpoint of MN is (7,1)

Add the x coordinates 7+7=14 then you divide that by 2 giving you 7.

Then you add the y coordinates together 6+(-4)=2 then divide by 2 and that gives you 1. Therefore the answer is (7,1)

6 0

2 years ago

What equation represents y=2x^2+24x+85 in vertex form

Andrej [43]

Y=a(x-h)^2+k

vertex form is basically completing the square

what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway

y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13

vertex form is
y=2(x+6)^2+13

8 0

3 years ago

11. A city engineer determines that 5,500 cubic meters of

PolarNik [594]

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

<h3>Volume</h3>

Volume is the amount of space occupied by a three dimensional object or figure. The volume (V) of a cone is given by:

V = (1/3)πr²h

Where h is the height, and r is the radius

Given that h = 35 m, the radius using Pythagoras theorem:

37² = r² + 35²

r = 12

V = (1/3)π(12)² * 35 = 5280 m³

The city do not have up to 5,500 cubic meters of sand that will be needed to combat erosion.

Find out more on Volume at: brainly.com/question/1972490

3 0

2 years ago

3(x + 4) = 27 what is x

Alla [95]

Answer:

x = 5

Step-by-step explanation:

This is a simple equation if you look at it right and don't get scared by the "x."

All we need to do is figure out what times 3 = 27. We can do this easily by diving 27 by 3.

27 ÷ 3 = 9

Since our "equation" is 3(x + 4) = 27 we know whatever is in the parenthesis () has to equal to 9. We already get 4 so:

5 + 4 = 9.

3 times 9 = 27.

5 is your answer.

Hope this helps and have a nice day!

PS if you could mark brainliest that'd be great! I'm very close the "expert" rank. Haha, sorry I usually don't ask.

6 0

3 years ago

Find the distance between the two points shown on the number line.

noname [10]

Answer:

2.6

Step-by-step explanation:

i just counted

8 0

4 years ago

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