Perpendicular means the two lines' slopes are negative reciprocal to each other. the slope of the given line is 1/3, therefore the slope of the perpendicular line is -3/1, which is -3
use the point-slope form: the given point is (4,1), so (y-1)=-3(x-4)
you can stop right here or you can write it into slope intercept form:
y-1=-3x+12
y=-3x+13
Answer:
g(x)=2-x² OR g(x)=-x²+2
Step-by-step explanation:
Notice that the red parabola doesn't stretch or compress. It only translates 3 units down. This means taking the original equation f(x)=-x²+5 and subtracting 3 units will get us the equation g(x)=-x²+2 which is also the same thing as g(x)=2-x². Looks like some of your answer choices got cut out of the picture so make sure to choose the answer I provided.
Answer: Four-thirdsπ(6)³
Step-by-step explanation: The formula for the volume of a sphere is attached in the image down below.
Notice that two of the options listed have <em>three-fourths</em> but we use <em>four-thirds </em>to find the volume of a sphere. This means that we can eliminate the 1st and the 3rd option.
Now, we will multiply that by π and then by the radius cubed which is also written as 6³. This means that our answer would be the second option.
A fraction you are dividing while a decimal is considered as a number
Answer:
<h2>124.1m</h2>
Step-by-step explanation:
29.4 per sec > Building 80m
Height = S = 4.9t^2 + 29.4t + 80
Solve for t:
t = 1.24 (approximately)
If t needed coordinates / solve using the quadratic formula:
t = (1.24 , -7.24)
<h3>The ball's maximum height is 124.1 meters.</h3>
