We have that the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6. is
From the question we are told
Find the slope of the line containing the pair of points f(1) = -6 and f(-7) = -6.
Where Standard form of Equation is
y=mx+c
Generally the equation for the Slope is mathematically given as
Therefore
Therefore
The slope of this line is
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Answer:
y= 1/2x + 1
Step-by-step explanation:
Refer to y=mx+b, m=slope and b= y-intercept
First, you find the slope: you can find the slope by finding the rise over run between two points. Rise= 1, Run=2. The slope is rise/run (rise over run), so the slope would be 1/2 (one half).
Next, find the y-intercept. It is where the line touches the y-axis. Here, it would be 1.
Finally, put these in y=mx+b form:
y=(slope)x+(y-intercept) ---> y= 1/2x + 1
I tried my best to explain everything, I hope you found this helpful!
Third angle =180° - (149° + 9°)
= 22°
Thanks me if is correct!
To find the area to be surrounded by a gravel path, we need to calculate two areas. First, the area of the whole space and, second, the area of the pond. We subtract these values to obtain the actual area for the gravel path.
A(whole space) = pi x (250)^2 = 62500π ft^2
A(pond) = pi x 200^2 = 40000π ft^2
Actual Area = 62500π ft^2 - 40000π ft^2 = 70686 ft^2 ----> OPTION A
The ball will be fastest right before it hits the ground because of gravity.
First, let's find the value of t where the ball hits the ground.
-8t²+25 = 0
-8t² = -25
t² =
t =
Note: t has to be positive, which is why there is no positive/negative symbol.
Now, let's calculate the derivative of this function. The derivative will give us the speed of the ball for time t.
d/dx = -16t
Now, let's plug in the value of t
-16 (
}
=
=
Take the absolute value of that because speed can't be negative
That's the speed of the ball. You can convert that into decimal if you'd like.
Have an awesome day! :)
