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yan [13]
3 years ago
9

HELP ASAP Linear Equations

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
5 0

Answer:

I and IV only

Step-by-step explanation:

In order for graphs to be parallel, they must have the same slope

In this case, we are looking for a slope of -2/3

We can find the other slopes by solving for y (y=mx+b)

I. 2x+3y=10

Subtract 2x from both sides

3y=-2x+10

Divide by 3

y=-2/3+10/3 This works since the slope is identical

II. 2x-3y=9

Follow a similar progression as the previous (subtract the x's and divide the y's)

-3y=-2x+9

y=2/3=3 This doesn't work since it is positive

III. 4x-6y=30

-6y=-4x+30

y=2/3 x-5 (4/6 simplified to 2/3) Also doesn't work since it is positive

IV. 4x+6y=3

6y=-4x+3

y=-2/3x+3 (-4/6 simplified to -2/3) This one works, it is identical

Scilla [17]3 years ago
4 0

Answer:

4th choice: I and IV only

Step-by-step explanation:

Change the form of the given equation to standard form.

y = -2/3 x + 2

3y = -2x + 6

2x + 3y = 6

Now compare this equation with the 4 choices.

Any equation that has the same x- and y-terms but a different constant term is parallel.

I. is parallel.

II. and III. are not parallel.

Look at IV.:

4x + 6y = 3

Divide both sides by 2:

2x + 3y = 3/2

IV. is also parallel.

Answer: 4th choice: I and IV only

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The mean of 6 numbers is 32.If one of the numbers is excluded, the mean reduces by 2.Find the excluded number.
bezimeni [28]

Answer:

42

Step-by-step explanation:

Mean = Sum of numbers/ Total numbers

Sum of 6 numbers = 32 x 6

= 192

If one number is excluded the mean reduce by 2 . so it becomes 30

Sum of 5 Numbers = 5 x 30

=150

Therefore the excluded number is

= 192 - 150

= 42.

4 0
3 years ago
A right rectangular prism has a length of 2 1/4 cm, the width of 8 cm, and height of
Vikentia [17]

Answer:

Volume of the rectangular prism=369cm^3

Step-by-step explanation:

Length=2\frac{1}{4} =\frac{9}{4} cm\\\\Width=8cm\\\\Height=20\frac{1}{2} =\frac{41}{2}cm

Volume of a rectangular prism = Length*Width*Height

                             =\frac{9}{4}*8*\frac{41}{2}\\\\  =\frac{72}{4}*\frac{41}{2}  \\\\=18*20.5\\\\=369cm^3

The volume of the rectangular prism with the given dimensions is 369cm^3

4 0
3 years ago
In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is t
Scorpion4ik [409]

Step-by-step explanation:

I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).

tricky, your teacher.

I think the temptation is to simply say 1/3×1/3 = 1/9.

but is it ?

the probabilty to draw one blue ball out of the complete system (no ball missing) is

x / (6+4+x) = 1/3

x = (6+4+x)/3

3x = 6 + 4 + x = 10 + x

2x = 10

x = 5

so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .

the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.

but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).

and so the probability to draw a blue ball out of this is

4/14 = 2/7.

therefore, the probability to draw 2 blue balls is now the combination

1/3 × 2/7 = 2/21

aha ! so, it is a little bit less than the originally suspected probability of 1/9.

5 0
3 years ago
A ball is dropped from a helicopter 100m from the ground. As the ball falls, the magnitude of it's associated velocity is
kotegsom [21]

As the ball falls, the velocity of the ball increases with increase in distance

<h3>Velocity and Motion</h3>

Given Data

  • Distance  = 100m

It should be noted that when an object falls, it velocity increases from zero to the maximum just before it hits the ground from the initial point of lunch.

Note: For a projectile the ball might reach a zero velocity at maximum height

Learn more about velocity here:

brainly.com/question/25705666

5 0
2 years ago
Solve for 'm': m - 7 = -13 + m
lesya [120]

Answer:

m - 7 = -13 + m

Step-by-step explanation:

8 0
4 years ago
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