Answer:
Step-by-step explanation:
See picture for explanation
Point G(4, -2)
Point H(-1, 10)
We want the distance of line segment GH.
Use the distance formula for points.
Note: d(G, H) means the distance from point G to point H.
d(G, H) = sqrt{(10 -(-2))^2} + (-1 -4)^2
d(G, H) = sqrt{(12)^2 + (-5)^2}
d(G, H) = sqrt{144 + 25}
d(G, H) = sqrt{169}
d(G, H) = 13
Did you follow the calculation?
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Answer:
1/10
Step-by-step explanation:
First, find the probability of choosing the red pen:
There are 6 total pens and 3 are red, so the probability will be 3/6
This can be simplified to 1/2
Then, find the probability of choosing a blue pen after not replacing the red one:
There are 5 total pens now, since we did not replace the red one.
There is only 1 blue pen, so the probability is 1/5
Then, multiply these 2 probabilities together:
1/2(1/5)
= 1/10
So, the probability is 1/10
Answer:
A, D, and E
Step-by-step explanation:
The ratio between the sides of the rectangle is 12/3 = 4. In a scaled copy of rectangle A, the ratio between the sides needs to be 4 too.
For answer A the 6/1.5 = 4, has the same ratio therefore is a scaled version of rectangle A
For answer B the 10/2 = 5, it does not has the same ratio therefore is not a scaled version of rectangle A
For answer C the 13/4 = 3.25, it does not has the same ratio therefore is not a scaled version of rectangle A
For answer D the 18/4.5 = 4, has the same ratio therefore is a scaled version of rectangle A
For answer E the 80/20 = 4, has the same ratio therefore is a scaled version of rectangle A
