Y=-1/3-2 because you have to make the slope into a negative inverse and the y-intercept stays the same because it's perpendicular.
Normal:3
Negative inverse: -1/3
Answer: <u>16.</u> 21ft
<u>17.</u> 116.67mi or ≈117mi
<u>18.</u> 1,377,795in or 3,499.993m or ≈3500m
How we would calculate each of these: For number 16, you would set up a proportion of 1/3=7/x and then simplify this to 1x=21 which results in you dividing 1 from both sides of the equation and getting 21 as x, or the amount of feet. For number 17, you would do the same thing except with the different numbers. You set up another proportion. 3/50=7/x and then simplify to 3x=350. Divide the 3 on both sides and you get x=116.67mi to which you can round to 117mi if you like. For number 18, you must convert the 3.5 kilometers to inches and get 1,377,795in and then you can convert those inches into meters which would be 3,499.993m or you can round it to around 3500m.
Answer:
The spinner has 6 equal-sized slices, so each slice has a 1/6 probability of showing up.
I guess that we want to find the expected value in one spin:
number 1: wins $1
number 2: wins $3
number 3: wins $5
number 4: wins $7
number 5: losses $8
number 6: loses $8
The expected value can be calculated as:
Ev = ∑xₙpₙ
where xₙ is the event and pₙ is the probability.
We know that the probability for all the events is 1/6, so we have:
Ev = ($1 + $3 + $5 + $7 - $8 - $8)*(1/6) = $0
So the expected value of this game is $0, wich implies that is a fair game.
Use a calculator yo like this is easy af. Just multiply
Answer:
When rotating any polygon 90 degrees, each vertice/point of the polygon should be changed from (x, y) to (y, -x). Because of this, E(-7, -4) should be E'(-4, 7), F(-2, -1) should be F'(-1, 2), and G(-5, -8) should be G'(-8, 5) after the rotation.
Step-by-step explanation:
Like I explained above, when rotating a shape 90 degrees <em>clockwise </em>on a plane, the points change from (x, y) to (y, -x). The student changed each point from (x, y) to (-y, x), which is a 90 degree <em>counterclockwise </em>rotation. That is why the student is incorrect.
I hoped this helped! Sorry, I am terrible at explaining things. :)
