Find the Vertex Form
y = -(x-3)^2-1
I think 12 might be the second one, I'm not sure though!
A - 1.2b = - 3 ⇒ eq. 1
0.2b + 0.6a = 12 ⇒ eq. 2
a - 1.2b = - 3
a = 1.2b - 3 ⇒ eq. 3
Substitute eq. 3 to eq. 2
0.2b + 0.6(1.2b - 3) = 12
0.2b + .72b - 1.8 = 12
Combine like terms
0.92b = 12 + 1.8
0.92b = 13.8 ⇒ divide both sides by 0.92 to get the value of b
<span>b = 15
</span>Substitute the value of b to eq. 3
a = 1.2b - 3
a = 1.2(15) - 3
<span>a = 15
</span>to check: substitute the values of a and b to:
eq. 1
a - 1.2b = - 3
15 - (1.2)(15) = -3
15 - 18 = - 3
- 3 = -3 ⇒ correct!
eq. 2
0.2b + 0.6a = 12
(0.2)(15) + (0.6)(15) = 12
3 + 9 = 12
12 = 12 ⇒ correct!
Answer:
15.6 ft
Step-by-step explanation:
Let's call
- a: distance from the top of the ladder to the ground = 10 ft
- b: distance from the bottom of the ladder to the bottom of the slide = 12 ft
From Pythagorean theorem:
c² = a² + b²
c = √(10² + 12²)
c = 15.6 ft
1 second = 5.8x10^6 mg
60 seconds = 5.8x10^6 x 60 = 3.48x10^8 mg
(i.e 3.48x10^8 mg/minute)
1000 mg = 1 g
3.48x10^8 mg = 3.48x10^8/1000 = 3.48x10^5 g
Therefore, 5.8x10^6 mg/s = 3.48x10^5 g/min
