Answer:
Answer:4.8 monthsStep-by-step explanation:First, let's write down the information that we are given.Plant A: Initial Height: 3 in.Constant Rate of Growth (CRG): 2in/month (2 inches per month)Plant B:Initial Height: 1 in.CRG: 29in/year (29 inches per year)We can see that Plant B grows 29 inches per year, so lets convert Plant B's 'CGR' to months.Plant B - Divide by 12 (12 months in a year)29/12 in/yearNow, Lets put these into equations:Plant A: y = 2x + 3Plant B: y = 29/12 x + 1Now, set these two equations together and solve for x.2x + 3 = 29/12 x + 12 = 5/12 x4.8So, after 4.8 months, the plants will be the same height.
hope it helps you
Answer:
y = -7x + 10
Step-by-step explanation:
Using a point slope form equation
y - y1 = m( x - x1)
Given
Point = ( 1 , 3)
Slope = -7
Insert the values into
y - y1 = m(x - x1)
x1 = 1
y1 = 3
y - 3 = m( x - 1)
m = -7
y - 3 = -7(x - 1)
Using a slope intercept form equation
y = mx + c
Open the bracket
y - 3 = -7x + 7
y = -7x + 7 + 3
y = -7x + 10
The equation of the line is
y = -7x + 10
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,
The central angle of arc BC is 35 degrees. So,
The central angle of arc CD is 50 degrees. So,
The central angle of a complete circle is 360 degrees. So,
Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
Angle R is the reference angle as its the only given angle (other than the 90 degree angle).
Opposite angle R is segment PQ
PR is the hypotenuse
Use the sine rule to find that...
sin(angle) = opposite/hypotenuse
sin(R) = PQ/PR
sin(19) = PQ/11
11*sin(19) = PQ
PQ = 11*sin(19)
PQ = 3.58124969902872 <<-- use a calculator (degree mode)
PQ = 3.58
Answer: 3.58
Answer:
y=x
Step-by-step explanation:
That's legit it. Type it into a graphing calc and it goes through(1,1) ad (3,3).
