Answer:
b = 5/12
Step-by-step explanation:
You have the proportion
1/(3b) = 4/5
Cross multiply to get rid of the fractions...
5 = 12b now solve for b
5/12 = b (divide by 12 on both sides)
Answer:
1
Step-by-step explanation:
1) First, place the given equation in slope-intercept form (
format) to find its slope easier. Isolate the y:
So, the equation of the line in slope-intercept form is 
. When an equation is in slope-intercept form, the 
, or the coefficient of the x-term, represents the slope. Thus, the slope for the given line would be -1.
2) Lines that are perpendicular have slopes that are opposite reciprocals of each other. We need to find the opposite reciprocal of -1, then.
To find the opposite reciprocal of a number, write the given number as a fraction first -- making -1 be written as 
-- then switch the sign and flip the numerator and denominator. So, the opposite reciprocal of -1 is 1, and 1 is the slope of the perpendicular line.
Answer:
Step-by-step explanation:
12 - 12x = -6x + 48
Add 12x to both sides. That eliminates the x term on the left side.
12 = 6x + 48
Subtract 48 from both sides. That eliminates the constant term on the right side.
-36 = 6x
x = -6
Step 1: move all terms to one side
7 + 2x^2 - 10x = 0
Step 2: Use the quadratic formula
X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4
Step 3: Simplify solutions
X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2
The cinematic equation is:
h (t) = (1/2) * a * t ^ 2 + vo * t + h0
Where,
a: acceleration
vo: initial speed
h0: initial height
Substituting values:
h (t) = (1/2) * (- 32) * t ^ 2 + (0) * t + 9
h (t) = - 16t ^ 2 + 9
For t = 0.2 we have:
h (0.2) = - 16 * (0.2) ^ 2 + 9
h (0.2) = 8.36 feet
To touch the ground we have:
-16t ^ 2 + 9 = 0
16t ^ 2 = 9
t = root (9/16)
t = 0.75 s
Answer:
The height of the cherry after 0.2 seconds is:
h (0.2) = 8.36 feet
the cherry hits the ground at:
t = 0.75 s
