Answer:
y= 10x-38
Step-by-step explanation:
Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.
Given that m=10,
y= 10x +c
Now substitute the coordinates into the equation.
When y=12, x=5,
12= 10(5) +c
12= 50 +c
c= 12 -50
c= -38
Thus the equation of the line is y= 10x -38
Answer:
rate of change = -32 feet/second
Step-by-step explanation:
h(t) = 64 – 16t2
t = time (seconds)
Look at the start of time where t = 0
h(t) = 64 - 16 * (0) * 2 = 64 feet
Then look at the specified time where t = 1.25 seconds
h(t) = 64 - 16 * (1.25sec) * 2 = 24 feet
rate of change = rate of change y / rate of change x
x = time, y = height
rate of change = (24 - 64) / (1.25 - 0) = -32 feet/second
Answer:
Step-by-step explanation:
Using the distance formula, we see that the distance between (-4,4) and (-7,3) is .
Answer:
11 1/2 feet
Step-by-step explanation:
You simply subtract 19 and 7 1/2 because the bird dropped down which means it is closer to the ground, therefore, subtracting its original height at 19 feet. Hope that helped.
Answer:
Option B is correct
Step-by-step explanation:
Given that:
and 
are supplementary.
prove that: 
It is given that:
and are supplementary.
By definition of supplementary
⇒
.....[1]
From the figure, you can see that:
and 
are also supplementary.
⇒
.....[2]
By [1] and [2] we have;
⇒
Simplify:
Since ∠2 and ∠3 are corresponding angles.
Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.
by definition we have;
proved!
