Answer:
20 in
Step-by-step explanation:
Tree 1:
Rate of growth = (½ ft/2 yr)
12 yr growth = 12 × (½/2)
= 6/2
= 3 ft
= 36 in
Tree 2:
Rate of growth = (4 in/3yr)
12 yr growth = 12 × (4/3)
= 48/3
= 16 in
Difference:
Tree 1 - Tree 2 = 36 - 16
= 20 in
The trees will differ in height by 20 in.
Irrational hope this helps!!
Answer: a) y = - 3/2 x + 7/2
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = y intercept
m represents the slope of the line.
m = (y2 - y1)/(x2 - x1)
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (3, - 1) and (- 1, 5),
y2 = 5
y1 = -1
x2 = - 1
x1 = 3
Slope,m = (5 - - 1)/(- 1 - 3) = 6/- 4 =
- 3/2
To determine the y intercept, we would substitute x = 3, y = - 1 and m= - 3/2 into y = mx + c. It becomes
- 1 = - 3/2 × 3 + c
- 1 = - 9/2 + c
c = - 1 + 9/2
c = 7/2
The equation becomes
y = - 3x/2 + 7/2
Answer:
Step-by-step explanation:
Through -3 , -2 slope = -2/3
y1 = -2 & x1 = -3 and m = -2/3
y - y1 = m(x - x1)
y - (-2) = -2/3(x - (-3))
y + 2 = -2/3(x + 3)
Multiply each term by 3
3y + 6 = -2(x + 3)
3y + 6 = -2x - 6
3y = -2x - 6 - 6
3y = -2x - 12
6a=54 so a=54/6, a=9
b-a=14, and using a found above...
b-9=14
b=23, so a=9 and b=23 so
ab=9(23)=207