Answer:
c is the answer
Step-by-step explanation:
so we know one equation
y=6x+15
we need to find the other one
24-10=14
14 miles in 2 hours
7 miles in 1 hour
y=7x+10
henry's ballon begins at 10 miles from the town and is 24 miles from the town in 2 hours
Where henry starts is 10 the y-intercept
look at the slopes
Henry: y=7x+10
Tasha: y=6x+15
Tasha starts farther away
Henry goes farther
Answer:
The diameter of circle is 24 cm.
Step-by-step explanation:
We are given the following in the question:
Circumference of circle = 75.36 cm
We have to find the diameter of the circle.
Circumference of circle =

where r is the radius of the circle.
Putting values, we get,

Diameter of circle =

Thus, the diameter of circle is 24 cm.
Answer:
see attached graph
Step-by-step explanation:
Given equation: 
Standard form of a quadratic equation: 
where
is the y-intercept
If
then the parabola opens upwards.
If
then the parabola opens downwards.
Therefore, the y-intercept of the graph is (0, 3)
To find the x-intercepts, factor the equation:




Therefore, the x-intercepts of the graph are (3, 0) and (1, 0)
To determine the vertex, differentiate the equation:

Set to zero and solve for x:

Substitute
into the original equation and solve for y:

Therefore, the vertex (or turning point) is at (2, -1)