X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
Yvette's hourly rate of pay is $12.
3+3+3+3=12
9514 1404 393
Answer:
68.6 m/s
Step-by-step explanation:
The speed at a given time is the derivative of the height at that time.
dh/dt = -9.8t
At t=7, the speed is ...
-9.8(7) = -68.6 . . . . . meters per second (downward)
The speed is 68.6 meters per second.
_____
<em>Additional comment</em>
Height is considered to be positive in the up direction, so velocity and acceleration are also positive in the up direction. The derivative of height will be the velocity. Its negative sign in this case indicates the object is moving in the downward direction. The speed is the magnitude (absolute value) of the velocity.
∆volume = 4/3 *pi * (R^3 -r^3 )
= 4/3 *pi*((6)^3 -(3)^3)
= 252*pi
= 791.68 m^3
Plant's height after 31 months:82 centimeters
<h3>How to find the height of the plant</h3>
The equation that can be used to find the height of the plant is given as
h = 52 centimeters + 1m
We have that the plant grows at 1 centimeter every month hence we have 1m in the equation.
Then the number of periods is m, Now we are to find the height in this period of time
h = 52 + 1*31
= 51 + 31
= 82
Hence the height after 31 months is given as 82 centimeters.
Read more on height here:
brainly.com/question/73194
#SPJ1