What is the slope of a line that is perpendicular to the line who’s equation is y=4/5x-3
2 answers:
The slope of a line perpendicular to a line with slope x is -. it is the opposite reciprocal. The slope of this line is 4/5. The first step in finding the slope of a line perpendicular to this line is to take the reciprocal of it, which gives us 5/4. The final step is to multiply it by negative 1. This gives us our answer of -5/4.
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Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
where r is the radius and h is the height.
and the surface area:
the first term is the area of the circles and the second term is the area of the body.
since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:
substitutig the equivalent expressions on each side:
and we simplify and solve for the height (since is the value we don't know of the cylinder):
we substitute the value of the radius , and we get:
thus the volume is:
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j. Hence, The vector AB is 16i + 12j.
<h3>How to find the vector?</h3>If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Given;
The vector ab has a magnitude of 20 units and is parallel to the
vector 4i + 3j.
magnitude
Unit vector in direction of resultant = (4i + 3j) / 5
Vector of magnitude 20 unit in direction of the resultant
= 20 x (4i + 3j) / 5
= 4 x (4i + 3j)
= 16i + 12j
Hence, The vector AB is 16i + 12j.
Learn more about vectors;
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Answer:
Step-by-step explanation:
Given : Sample space : n= 559
Sample proportion :
Significance level :
Critical value :
Confidence level for population proportion:-
Hence, 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.=