1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime number,. then (x+y)/7 = z². In this case either x = 2 or y = 5 (or vice vera). This is the only possibility to be divisible by 7 . Then (5+2)/7 = 1² = 1
2) 5 pipes → 2 hours → 2 pools
then 1 pipe takes (5x2) 10 hours to fill 2 pools
or 1 pipe takes (10/2) 5 hours to fill 1 pool
3) It's 6/30 = 0.2 or 20%
4) 35% represent 7 Students, 100% of the class represent x students:
35%/7 = 100%/x
0.35/7 = 1/x (Cross multiplication) →0.35x = 7 and x = 7/0.35 → x = 20 students
5) Let K be the age of Katie and B her brother's
K + 2 = B OR K = x - 2 (Today)
In 12 years (B+12), B will be twice K (remember K = B-2) →
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2) →
B+12 = 2B - 4→
12 + 4 = B and B = 16. If the brother is 16, then Kate is 14
:
thats joy in my heart
Step-by-step explanation:
thank you
Answer:
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Step-by-step explanation:
x^4 - 11x^2 + 10
x^4 - x^2 - 10x^2 + 10
x^2 × ( x^2 - 1 ) - 10( x^2 - 1 )
( x^2 - 1 ) × ( x^2 - 10 )
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Answer:
Step-by-step explanation:
For each of the yp(x) we can deduce the characteristic polynomial of the differential equation
A.
B.
C.
D.
hope this helps!!
The correct choice (B)
By slicing the triangular prism with a plane parallel to the equilateral base
that will produce an equilateral triangle cross section
see the attached figure
