The image would be (-1, 5)
Hello!
Given the two points, 
and 
, and to find the distance between these two points is found by using the formula:
is assigned to one the points, in this case, is (4, 1).
is assigned to other point, which is (9, 1).
Then, plug in these values into the formula and solve.
Therefore, the distance between the two points is 5.
Answer:
12(3+1)
Step-by-step explanation:
use distributive property to solve
13 times 3 is 36
12 times 1 is 12
so 12(3+1) is equal to 36+12
have a good day :)
Answer and Step-by-step explanation:
Number of ways = 59C5 × 35= 59!/(54!*5!)* 35= 175223510
Odds are thus 1 in 175223510
b) 1 million - Number of ways = 59!/(54!*5!) =5006386*35/34 = 5153632
Odds are thus 1 in 5153632
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
