The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
Hope this helped!
The third one, this is because you take your y2 and y1 values (y2=0 and y1=9 because these are the two y values given to you from each coordinate) and subtract 0-9. then you do the same, but with the x2 and x1 values. so your x1 value is 3 and your x2 value is 0, so you subtract 0 from 3. divide your second answer from the first answer, to get a gradient of -1/3 x. now using the first coordinate (0,9) you know that the y coordinate is 9. as the x value =0, we know that the line is passing through the y axis at 9 so 9 is your y intercept. this gives you the equation -1/3x+9. hope this helped and wasn't too confusing!
Greatest common factor in this case is 2s^2. The resulting polynomial would be 2s^2(s^2-2)
Answer:
From least likely to most likely:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Step-by-step explanation:
Converting all probabilities to the same type may be easier to visualize and see the chances. Let's convert each chance to percentage:
P(I Am Pat wins) = 3/10 = <u>30%</u>
P(Good Legs Lance wins) = 0.6 = <u>60%</u>
P(Colorado Bronze wins) = 10%= <u>10%</u>
Thus, the desired order is:
Colorado Bronze wins
I Am Pat wins
Good Legs Lance wins
Answer:
20 degrees
Step-by-step explanation:
we can consider 33 to be the radius of a circle.
31 would then be the cos of the angle in that circle.
the regular cos function is defined for the standard circle with radius 1. so, that would be multiplied by 33 for this circle here.
31 = cos(?) × 33
cos(?) = 31/33 = 0.9393...
? = 20.05 ≈ 20 degrees
