Answer:
The vertex is (0, -5) and the axis of symmetry is x = 0.
Step-by-step explanation:
In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.
x = -b/2a
x = 0/2(1)
x = 0/2
x = 0
So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.
f(x) = x^2 - 5
f(x) = 0^2 - 5
f(x) = 0 -5
f(x) = -5
This gives us a vertex of (0,-5)
Its the y intercept of function A is less than the y intercept of function b
The rate of the slower cyclist is 16 mph while the rate of the faster cyclist is 21 mph.
<h3>How to calculate the rate of speed?</h3>
let us assume the following;
x = rate of slower cyclist
x + 5 = rate of faster cyclist
We know that formula for distance is;
distance = travel time*rate
Thus;
2x + 2(x + 5) = 74
Since the two cyclists are a distance of 74 miles apart after a time 2 hours. Thus;
2x + 2x + 10 = 74
4x + 10 = 74
4x = 74 - 10
4x = 64
x = 64/4
x = 16
Rate of faster cyclist = 16 + 5 = 21 mph
Read more about Rate of Speed at; brainly.com/question/2681210
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Answer:
c
Step-by-step explanation:
i know it c
Answer:
k = 13.5
Step-by-step explanation:
Since 3 * 3 = 9
And 3 * 4 = 12
Then 3* 4.5 = 13.5
As the statement goes, "Triangle XYZ is similar to Triangle ABC."
