Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
<u>slope (m)</u>: (0 - 2)/(4 - 0) = -1/2
<u>y-intercept (b)</u>: 2
<u>equation</u>:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
<u>slope (m)</u>: (0 - (-2))/(2 - 0) = 1
<u>y-intercept (b)</u>: -2
<u>equation</u>:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
Answer:
The ball will be the 7 ft high at 2 different times.
Step-by-step explanation:
The height in meters of the ball is given by the following equation:
7 feet high
The height, by the equation, is given in meters, so we have to work in meters. Since each feet has 0,3048 meters, 7 feet have have 2.1336 meters. So, we have to solve the following equation
At how many different times will the ball be 7 ft. High?
We have to find the number of solutions for the equation above.
It is given according to the value of 
. If it is positive, there are two solutions, zero one solution and negative no solutions.
In this equation 
. So
Since the coefficient is positive, the ball will be the 7 ft high at 2 different times.
The general formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the center of the circle and r is the radius
so , the equation is (x-5)^2 + (y-6)^2 = 9
The degree is the largest exponent on the variable 2
Numbers are unlimited
eg.99999999999999999999999999999999999999999999999999
you can add 1 to become
100000000000000000000000000000000000000000000000000
