6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.
10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.
Answer:
f(x) = x^4/12 + 8x + 4
Step-by-step explanation:
f"(x) = x^2
Integrate both sides with respect to x
f'(x) = ∫ x^2 dx
= (x^2+1)/2+1
= (x^3)/3 + C
f(0) = 8
Put X = 0
f'(0) = 0+ C
8 = 0 + C
C= 8
f'(x) = x^3/3 + 8
Integrate f(x) again with respect to x
f(x) = ∫ (x^3 / 3 ) +8 dx
= ∫ x^3 / 3 dx + ∫8dx
= x^(3+1) / 3(3+1) + 8x + D
= x^4/12 + 8x + D
f(0) = 4
Put X = 0
f(0) = 0 + 0 + D
4 = D
Therefore
f(x) = x^4 /12 + 8x + 4
The coordinate of B is (4,1)
Answer:
13 and 65
Step-by-step explanation:
x + 5x = 78
(because u want a piece (x) and a piece that's five times longer than x- so 5x. and they should come from a 78 inch piece)
6x = 78
x = 78 / 6
x= 13
(to counter check: 13 * 5 = 65.
65 + 13 = 78 )
Answer:
y³ - 3y² + 1/y+3
Step-by-step explanation:
y² - 9 = (y - 3) ( y + 3)
y-3/(y-3)(y+3) = 1/y+3