Answer:
domain is (-inf,0)U(0,inf)
Step-by-step explanation:
Answer:
3 years ago
Step-by-step explanation:
let m be Musa's age and d be Dayo's age
let x be number of years ago
m = 47
d = 22
(m - x)(d - x) = 836
(47 - x)(22 - x) = 836
1034 - 69x + x² = 836
x² - 69x + 198 = 0
This is in standard from ax² + bx + c = 0
Factor to be (x+q)(x+p)=0
p*q = c = 198
p+q = b = -69
198 = (-3)*(-66)
(-3) + (-66) = -69
Factored form is:
(x - 66)(x - 3) = 0
Set each bracket to 0
x - 66 = 0
x = 66 <= This number is inadmissable because neither Musa nor Dayo reached age 66.
x - 3 = 0
x = 3
The product of their ages was 836 3 years ago.
If the plane is starting from rest, then the acceleration <em>a</em> that it needs in order to speed up to 324 km/h = 90.0 m/s over a distance of 1.35 km = 1350 m satisfies
(90.0 m/s)² = 2<em>a</em> (1350 m) ==> <em>a</em> = 3.00 m/s²
(use the kinematic equation, <em>v</em> ² - <em>v₀</em>² = 2<em>a</em> ∆<em>x</em>)
and the amount of time <em>t</em> needed to reach this speed is such that
90.0 m/s = (3.00 m/s²) <em>t</em> ==> <em>t</em> = 30.0 s
(<em>v</em> = <em>v₀</em> + <em>at </em>)
1)
Cosine = base / hypotenuse
Secant = hypotenuse / base = 1/Cosine
Sec = 1/(5/6) = 6/5
2)
Sine = perpendicular / hypotenuse = 5/6
hypotenuse² = base² + perpendicular²
base = √(6² - 5²)
base = √11
Cotangent = base / perpendicular
= √11/5