On a coordinate grid, what is the distance from A (4,9) to B (4,3)?

Answers

Answer 1

Answer: $d=√((x_1-x_2)^2+(y_1-y_2)^2)\n\nd=√((4-4)^2+(9-3)^2)\nd=√(0^2+6^2)\nd=√(6^2)\nd=6$

Answer 2

Answer: just subtract them
4-4=0
9-3=6

the distance is 6 since the x part stayed on the sam line

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Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?

Answers

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

$y=2x-3...........................(1)\n\ny=-2x+5.............................(2)$

Adding equation (1) and (2), we get

$2y=-3+5\n\n\Rightarrow\ 2y=2\n\n\Rightarrow\ y=1$

Substitute the value of y in the first equation , we get

$1=2x-3\n\n\Rightarrow\ 2x=1+3\n\n\Rightarrow\ 2x=4\n\n\Rightarrow\ x=2$

Therefore, the solution to the given system of equations = (2,1)

Answer:

B (2,1)

Step-by-step explanation:

The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet? Round your answer to the nearest whole number.

Answers

A tire is a circle, therefore:

1) we have to calculate the circumference of this circle (tire of this bycicle)
C=dπ
diameter=20 in
C=20π in.

1 rotation=20π in

2)we convert 500 ft to in
1 foot=12 in;

1 foot------------------12 in
500 feet--------------- x

x=(500 ft * 12 in) / 1 foot=6000 in.

3) Now, we calculate the number of rotations:
1 rotation=20π in≈20*3.141592654... in≈62.93 in,

1 rotation--------------62.93 in
x--------------------------6000 in

x=(1 rotatiton * 6000 in) / 62.93 in≈95.5 rotations≈96 rotations.

Answer: 96 rotations.

Answer:96

Step-by-step explanation:

-You randomly choose one of the tiles. Without replacing the first tile, you

choose a second tile. Find the probability of the dependent event(s) both

occurring.

1/2/3/4/5/6/7

-

Choosing a 6 and then a prime number

Choosing two odd numbers

Answers

Answer:

Choosing a 6 and then a prime number:2/21

Choosing two odd numbers: 2/7

Step-by-step explanation:

Choosing a 6 and then a prime number:

The probability of choosing 6 out of 1, 2, 3, 4, 5, 6 and 7 is one event divided by number of total events (which is equal to 7). That results in 1/7. Once 6 is chosen, the probability of choosing a prime number (prime number is a number that can only be divided by 1 and itself) out of 1, 2, 3, 4, 5 and 7 is 4/6 (prime numbers are 2, 3, 5, 7 in total there are 4 number and total number of events are 6). Finally, the probability of choosing a 6 and then a prime number is (1/7)*(4/6)=2/21.

Choosing two odd numbers:

The probability of choosing 1st odd number is 4/7 (number of odd numbers is 4 which includes 1, 3, 5, 7 and the number of total events is 7). Once 1st odd number is chosen, the probability of choosing 2nd odd number is 3/6 (number of odd numbers is 3 - because 1 odd number is already chosen and the number of total events is 6). Finally, the probability of choosing two odd numbers in a sequence is (4/7)*(3/6)=2/7.

What is 21/45 simplified?

Answers

21÷3=7
45÷3=15
this means that 21/45 simplified is 7/15

If B1 = 3 m and B2 = 4m and the area is 7 m squared, what is the height?

Answers

the height is 1, because it's A=(b1 + b2)*h, the equation is this now 7=3 + 4)*h, you add 3 + 4 then that will give you 7, so now it should look like this 7=7*h, you do a fraction line under the 7 and 7*h each, and put a 7 as the denominator, so it kind of looks like this now 7 = 7*h
__ __
7 7 then you cancel the 7*h which leaves you to just h, so 7 divided by 7 will give you 1 so it looks like 1=h, PHEW

Which of the following fraction is also a repeating decimal?A. 7/14
B. 3/12
C. 10/16
D. 5/15

Answers

Answer:

Step-by-step explanation:

A dicimal sign is the same thing as a division sign, so if I do 7 divided by 14 it would be 0.5 if I do 3 divided by 12 it would be 0.25 if I do 10 divided by 16 it would be 0.625 and if I do 5 divided by 15 it would be 0.333333333.

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