What is the equation of the line that is parallel to y = 1/5 x + 4 and that passes through (5,–4)?
1 answer:
Answer:
y = x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x + 4 ← is in slope- intercept form
with slope m =
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation
To find c substitute (5, - 4) into the partial equation
- 4 = 1 + c ⇒ c = - 4 - 1 = - 5
y = x - 5 ← equation of parallel line
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Answer:
At approximately x = 0.08 and x = 3.92.
Step-by-step explanation:
The height of the ball is modeled by the function:
Where f(x) is the height after x seconds.
We want to determine the time(s) when the ball is 10 feet in the air.
Therefore, we will set the function equal to 10 and solve for x:
Subtracting 10 from both sides:
For simplicity, divide both sides by -1:
We will use the quadratic formula. In this case a = 16, b = -64, and c = 5. Therefore:
Substitute:
Evaluate:
Simplify the square root:
Therefore:
Simplify:
Approximate:
Therefore, the ball will reach a height of 10 feet at approximately x = 0.08 and x = 3.92.
First of all, lets get y on its own side of the equation.
This is slope intercept form, y=mx+b, where m is slope.
we can see that m=2, so the slope is 2 or