Answer:
-4u+2v = <-6, 34>
Step-by-step explanation:
u = <4, -7) → -4u = <-16, 28>
v = <5, 3> → 2v = <10, 6>
-4u+2v = <-16, 28> + <10, 6> = <-6, 34>
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
Answer:
More carts equal more wheels
Step-by-step explanation:
Answer:
m = 1
Step-by-step explanation:
We can suppose that the number we are looking for is for example 5.
(we can do so because the probability is the same for each number - it'sna fair dice)
For the first toss the probability we have 5 is 1/6 (we have 6 numbers on the dice and number 5 is just one of the possible 6 outcomes).
For the second toss the probability we have 5 is again 1/6.
For the rest of 3 tosses we don'tcare what number we will get( we have our two consecutive 5s), so all of the outcomes for the rest of 3 tosses are good for us (probability is 6/6 = 1)
Threfore, the probability to get two consecutive 5s is 1/6 * 1/6 * 1 * 1 * 1 = 1/36.
We can see that m = 1.
Use the least common denominator (LCD) to write these fractions as equivalent fractions with like denominators, and then compare them two at a time
