Answer:
D. (1,0)
Step-by-step explanation:
Just plug in each coordinate for x and y into 4x+2y and see which one is less than or equal to 6.
Lets go through all of the possible answers:
<u>A</u>. (0,4)
4(0) + 2(4) ≤ 6
0 + 8 ≤ 6
8 ≤ 6
This is false. 8 is not less than or equal to 6.
<u>B</u>. (5,0)
4(5) + 2(0) ≤ 6
20 + 0 ≤ 6
20 ≤ 6
This is false. 20 is not less than or equal to 6.
<u>C</u>. (5,7)
4(5) + 2(7) ≤ 6
20 + 14 ≤ 6
34 ≤ 6
This is false because 35 is not less than or equal to 6
<u>D</u>. (1,0)
4(1) + 2(0) ≤ 6
4 + 0 ≤ 6
4 ≤ 6
This is true, because 4 is less than 6.
Step-by-step explanation:
x + x + x = 90°
3x = 90°
x = 90/3 = 30
x = 30°
now,
apply angle sum property to find the value of y
as, x = 30
so,
30 + 90 + y = 180
120 + y = 180
y = 180 - 120 = 60
y = 60° ans.
therefore, option B is correct
hope this answer helps you!
There are total 600 number of ways or permutations the top two finishers can be determined.
According to the given question.
Total number of people who are participating in a race = 25
In 25 participants the total number of participants to be selected to finish the race = 2
As we know that "a permutation is a mathematical calculation of the number of ways a particular set can be arranged, where the order of the arrangement matters". Which can be calculated as

Where,
is the number of permutations
n is the total number of objects
r is the numbers of objects to be selected
Thereofore,
The total number of ways, or permutaions the two top finishers can be determined is given by

= 25!/(25-2)!
= 25!/23!
= 25 × 24 × 23!/23!
= 25 × 24
= 600
Hence, there are total 600 ways or number of permutations the top two finishers can be determined.
Find out more information about permutations or number of ways here:
brainly.com/question/28021983
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Are you in k12? I am as well, I am having trouble with the same problem.