Look at this system of equations.
-3x+3y=12
y=x+4
The solution set of this system is best explained by which of these statements?

Answer:

A, B, and E.

Step-by-step explanation:

We know that one vertex is at (5, 4), and each side of our square is 3 units long.

Then the distance between the known vertex and another vertex is 3 units (if those vertexes are connected by a side of the square) or (√2)*3  units (if those vertexes are connected by the diagonal of the square).

Also remember that the distance between two points (a, b) and (b, c) is:

distance = √(  (a - c)^2 + (b - d)^2)

So we need to find the distance between our point and all the ones given in the options:

A) the distance between (5, 4) and (5, 1) is:

distance = √( (5 - 5)^2 + (4 - 1)^2) = 3

Then point (5, 1) can be a vertex.

B) The distance between (5, 4) and (5, 7) is:

distance = √( (5 - 5)^2 + (4 - 7)^2) = 3

Then (5, 7) can be a vertex.

C)  The distance between (5, 4) and (7, 8) is:

distance = √( (5 - 7)^2 + (4 - 8)^2) = √( 2^2 + 4^2) = √20

Point (7, 8) can not be a vertex.

D)  The distance between (5, 4) and (2, 6) is:

distance = √( (5 - 2)^2 + (4 - 6)^2) = √( 3^2 + 2^2) = √13

Point (2, 6) can not be a vertex.

E) The distance between (5, 4) and (2, 1) is:

distance = √( (5 - 2)^2 + (4 - 1)^2) = √( 3^2 + 3^2) = √18 = √(2*9) = √2*√9 = √2*3

Then point (2, 1) can be a vertex.

When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.

We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped

15P/50

8B/50

2G/50

18C/50

7S/50 for a total of 50 marbles

Now we use the chart to decide our awnsers  

A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.

B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely

C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these

D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of  these and gives us an even to likely chance of getting one of these.

E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.

Answer:

Step-by-step explanation:

Length between two coordinates are given by the formula

Now, A(-1,6) and B(5,3)

Therefore the length of AB

Therefore, the length of AB= 4.12 units

Answer:

A: 1950 B: November to December

Step-by-step explanation:

In november to december the amount decrease and is the less amount in the graph

Answer:

a: 89/100

b: 19/100

c: 28/100

Step-by-step explanation:

for a, take every number greater than 10. there are 100 chips, so 89/100 chips are greater than 10. do this for each of the other questions.

The order for the probabilities of the events by placing the event with the greatest probability on top is

1. The label is a number between 30 and 60

2. The label is a number less than 20

3. The label is a number greater than 10

Below are the correct order of the probabilities from greatest to least:

1. The label is a number between 30 and 60

2. The label is a number less than 20

3. The label is a number greater than 10

The reason for this order is that there are 31 chips with labels between 30 and 60, 19 chips with labels less than 20, and 90 chips with labels greater than 10.

Therefore, the correct answer is as given above.

learn more about probability: https://brainly.com/question/13604758

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Answer:

6 divided 1/4= 24/1=24

Step-by-step explanation:

24 is the answer

Answer:

1/3

Step-by-step explanation:

Figure A is

-the initial one and

-is bigger

so the scale factor is less then 1 and the figure A was shrunk to figure B

If we compare the sides of the triangles we see that the green triangle was shrunk by a k= 1/3 factor into the blue triangle.

Blue triangle is 3 times smaller than green triangle.

Answer:

D) 31

Step-by-step explanation:

I just divided and got that ! pls mark me brainlest

Answer:

=64.5

Step-by-step explanation:

6x .5x5x4.3=64.5

Step-by-step explanation:

6 x 1/6= 1

11 x 2= 22

22+1= 23

Answer:

385 ft²

Step-by-step explanation:

should be it i forgot how to round

Answer:

A triangle is 180 degrees and you have a 30 and 50 angle so the third angle should equal 100. so the answer should be 45 and here's why

Step-by-step explanation:

Subtract 10 from both sides

2x+10=100

2x+10-10=100-10

Simplify

Subtract the numbers

2x=90

Divide both sides by the same factor

2x=90

2x/2 = 90/2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=45

Solution

45

Answer:

D

Step-by-step explanation:

There are several outlying values that are in the 90's range that drive the mean too high to be considered the typical temperature. A temperature in the 60's has never been recorded on the chart.

Answer:

A≈95.03

Step-by-step explanation:

The Formula for an area of a circle is A=πr2

Becuase the Radius is half of the diameter then we would divide 11 by 2

which is 5.5

plug it in the equation

A =π (5.5)squared

square 5.5

A=30.25π

A= 95.0331777711

Step-by-step explanation:

The answer should be february

Answer:

the answer is february

Step-by-step explanation:

Answer: 59.3 feet

Step-by-step explanation: we will multiply 11.711.77 ✖ 2.8✖1.8 equal 59.3208 so estimate the 2 can't give something to the 3 so 559.3 , hope my answer is correct

Answer:

-5.1

Step-by-step explanation:

Each time is subtracting by 5.1

35.7 - 5.1 = 30.6

30.6 -5.1 = 25.5

25.5 - 5.1 = 20.4

20.4 -5.1 = 15.3

Answer:

60

Step-by-step explanation:

Angle AFC is supplementary to angle CFE. Supplementary angles always equal 180 degrees. (180-120=60)

Answer:

1. 60

2. 120

3.30

Step-by-step explanation:

(Yes I know they aren't labeled one and two but I'll go in order from the questions)

1. It is 60, because it is an equilateral triangle so all angles are equal. 180/3=60.

2. There are two ways you can solve this problem. The first is using the vertical angle theorem. That makes it 120. Or, you can add all the angles you have already and remove it from 360.

360-120-60-60=120.

(you can tell it is not 60 because it is larger than a right angle in the picture)

3.x=30.The right angle is 90, and there is a 60 degree angle, so 90-60=30

Answer:

3 Ib = 48 oz

16,000 lb = 8T

Step-by-step explanation:

so if you want to get 48 multiply 3 by 16

And if you want to get 8 divide 16,000 by 2000

Answer:

answer down below

Step-by-step explanation:

11.h=-5 12.k=7.8

13.y=-4 14.h=36

15.v=18 16.c=-32

17.k=8 18.x=-29

19.m=28 20.v=11

Answer:

Im might be wrong but I think its 52.

Answer:

16 ft

Step-by-step explanation:

you multiply 7ft with 6ft and with 8ft

Answer:

Step-by-step explanation:

the volume of the aquarium is V= Lx wx H

it is already given that V=11.18 cubic feet, so 11.18=LxWxH

H height and it is the aquarium's depth

H=11.18 / L xW= 11.18/2.7x1.6= 2.58 feet

Answer:

B

Step-by-step explanation:

Because the pythagorean theorem we know that s2 = r2 + h2, since r = a/2s2 = (1/4)a2 + h2, and s = √(h2 + (1/4)a2)

This is also the height of a triangle side

Answer:

B. 1 out 6

Step-by-step explanation:

There is only one number on a six sided die that has a number less than 2, so it would be 1/6.