Answer:
(2, 4)
Step-by-step explanation:
When plotting points you need to do the x first then the y,
To help you remember the order use the saying OVER AND UP.
For the x-axis is the line going from SIDE to SIDE,
For the y-axis is the line going UP to DOWN,
The Radio City Music Hall x value is 2 and the y value 4.
Therefore your coordinates/ordered pair is (2, 4).
Point-Slope Equation: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and m is the slope
(x₁, y₁) = (4, 1700) and m = 200
y - 1700 = 200(x - 4)
Answer: bottom left
Answer:
-2
Step-by-step explanation:
Start with the vertex form of the equation of a parabola: y - k = a(x - h)^2
Here h = -2, k = -3, x = -1, y = -5. Find a:
-5 - [-3] = a(-1 - [-2])^2, or
-5 + 3 = a(1)^2, or
-2 = a
The unknown coefficient is -2.
Answer:
Part A)
Part B) The distance between the y-intercepts is equal to 4 units
Part C) The value of h(x) will always be greater than the value of m(x) for any value of x
Step-by-step explanation:
Part A) What is the value of h(4) -m(16)
we have
For x=4
Find the equation of the line m(x)
Find the slope
take the points
(8,2) and (12,4)
The formula to calculate the slope between two points is equal to
substitute
Find the equation of the line in slope intercept form
we have
substitute
solve for b
therefore
Find m(16)
so
Part B) we know that
The y-intercept is the value of y when the value of x is equal to zero
Find the y-intercept of h(x)
For x=0
Find the y-intercept of m(x)
For x=0
therefore
The distance between the y-intercepts is equal to 2-(-2)=4 units
Part C)
Graph both equations
using a graphing tool
see the attached figure
The value of h(x) will always be greater than the value of m(x) for any value of x