Translated means the points are moving across the plane without rotating or changing shape. In this case, the x-coordinate would be moving up 5 (x + 5) and the y-coordinate would be moving to the left 4 (y - 4).
A is (-8, 6). A' is the result of the translation from this point. The results of the solution above in A is the point (-3, 2) = A'.
Now you must find the distance between these two coordinates. To find the distance you must use the distance formula: √<span>(x2 - x1)^2 + (y2 - y1)^2. Since you now have two points, A and A', plug these into the distance formula.
</span>√(-3 - (-8))^2 + (2 - 6)^2
√5^2 + (-4)^2
√25 + 16
√41
The distance from A to A' is √41.
Title:
<h2>See the explanation.</h2>
Step-by-step explanation:
The coin is to be flipped 2000 times.
The probability of getting a head is 0.3.
It is given that, we need to get a head in between 575 and 618 times.
If we will get 575 heads then we will get (2000 - 575) tails.
Hence, if we take that we want to get n times head, then we will get (2000 - n) times tail.
The probability of not getting a head is (1 - 0.3) = 0.7.
The probability of getting n times head is 
.
The required probability is ∑ , where 
.
Probability that the first lot sold will be less than two acres = number of lots less than two acres / total number of lots = 6/10 = 3/5
Probability that the second lot sold will be less than two acres = remaining number of lots less than two acres / remaining total number of lots = 5/9
Required probability = 3/5 x 5/9 = 15/45 = 1/3
A function is said to even if it returns the same output when given two opposite inputs:
In your case, you have
And since 
, the proof is concluded.
Answer:
1. (-4,0) (0,2)
2. (6,0) (0,3)
3. (-4.5,0) (0,-3)
Btw theirs desmos.com that has a graph calculator
