Answer:
The answer to your question is b = 11.31 cm or 8
cm
Step-by-step explanation:
Data
hypotenuse = 18 cm
one leg = 14 cm
second leg = ?
Process
1.- Use the Pythagorean Theorem to solve this problem
c² = a² + b²
c = hypotenuse
a = longer leg
b= shorter leg
2.- Substitution
18² = 14² + b²
-Solve for b
b² = 18² - 14²
-Simplify
b² = 324 - 196
b² = 128
-Find the prime factors of 128
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
128 = 2⁶2¹
-Result
b = 11.31 or 8
Given differential equation, (D4 - 5D3 + 5D2 + 5D - 6)y = 0
=> For general solution of equation,
Solve D4 - 5D3 + 5D2 + 5D - 6 = 0
=> D4 - 5D3 + 6D2 - D2 + 5D - 6 = 0
=> D2 (D2 - 5D + 6) - (D2 - 5D + 6) = 0
=> (D2 - 5D + 6)(D2 - 1) = 0 ................................(1)
Now
D2 - 1 = (D - 1)(D + 1) and
Factors of D2 - 5D + 6
D2 - 5D + 6 = D2 - 2D - 3D + 6
= D(D - 2) - 3(D - 2)
= (D - 3)(D - 2)
Therefore, equation (1) implies
(D2 - 5D + 6)(D2 - 1) = (D - 3)(D - 2)(D - 1)(D + 1) = 0
=> D = 3, 2, 1, -1 or D = -1, 1,, 2, 3
=> General solution of differential equation is,<span>
=><span> y = C1 e-x + C2 ex + C3 e2x + C4 e3x</span> .
Hope it helps
</span>
Answer:
1/25
Step-by-step explanation:
The bag has:
- 2 yellow marbles
- 3 red marbles
- 5 blue marbles
- 10 total marbles
The probability of picking a yellow marble is 2/10=1/5.
So, the answer is (1/5)² = 1/25
In a regular polygon, all of the sides have the same length.
Pentagons have five sides. If one of the sides in a regular pentagon is 4 feet, then the rest will also be four feet. 5 sides that are all 4 feet long totals up to a 20-foot perimeter.
Step-by-step explanation:
For the 1st picture,
The 2nd option is the answer.
Let say we have
Replace it into the recursive formula.
We are given a,1 and a,2 so the 3rd terms has to be
So the second option is the answer.
For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.
Infinite means going on forever
The fourth option is the answer.
