Answer:
17550 solutions
Step-by-step explanation:
Given that:
y1 +y2+y3+y4=27
where;
(yi ≥ 0 and yi
)
The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.
i.e

∴
The number of nonnegative integer solution is 





= 17550 solutions
Answer: y=3
Step-by-step explanation:
first, you need to find the slope using the slope formula (y2-y1/x2-x1)
-4--4/6--7 = 0/13 which equals 0
now you fill it into the point-slope form (y=m(x-x1)+y1)
y=0(x--7)-4
you distribute and get
y=3
Step-by-step explanation:
step 1. let's call the line in the middle y.
step 2. y = sqrt(5^2 + 7^2) = sqrt(74). pythagorean theorem.
step 3. x^2 + y^2 =100 (pythagorean theorem))
step 4. x^2 + (sqrt(74))^2 = 100.
step 5. x^2 = 100 - 74
step 6. x^2 = 26
step 7. x = sqrt(26). note: sqrt is the square root.
Answer:
8 apples
Step-by-step explanation:
There are 3 apples with a mass of 39 grams, 2 apples with a mass of 40 grams, 1 apple with a mass of 41 grams, and 1 apple with a mass of 43, and lastly one apple with a mas of 44 grams.