Answer:
The number of degrees in an acute angle of an isosceles right triangle is 45 degrees.
Step-by-step explanation:
An isosceles right triangle has two congruent base angles, and one 90 degree angle. Since a triangle's degrees will always equal 180, we would make an equation like so:
180 (total degrees) = 90 (right angle) + 2x (base angles)
90 = 2x
45= x
<u>Answer:
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The point-slope form of the line that passes through (1,-5) and is parallel to a line with a slope of 1 is y + 5 = x – 1
<u>Solution:
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The point slope form of the line that passes through the points and parallel to the line with slope “m” is given as
---- equation 1
Where “m” is the slope of the line. and are the points that passes through the line.
From question, given that slope “m” = 1
Given that the line passes through the points (1,-5). Hence we get and
By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope 1 can be found out.
y – (-5) = 1(x – 1)
y + 5 = x – 1
hence the point slope form of given line is y + 5 = x – 1
Answer: Choice C
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Explanation:
Let's look at the function y = sec(x) first, which is the secant function.
Recall that secant is 1 over cosine, so sec(x) = 1/cos(x)
We can't divide by zero, so cos(x) = 0 can't be allowed. If x = pi/2, then cos(pi/2) = 0 will happen. So we must exclude pi/2 from the domain of sec(x).
If we look at the interval from 0 to pi, then the domain of sec(x) is
we can condense that into the interval notation
Note the use of curved parenthesis to exclude the endpoint; while the square bracket includes the endpoint.
So effectively we just poked at hole at x = pi/2 to kick that out of the domain. I'm only focusing on the interval from 0 to pi so that secant is one to one on this interval. That way we can apply the inverse. When we apply the inverse, the domain and range swap places. So the range of arcsecant, or is going to also be
Answer:
Function A rate = 5/1
Function B rate = -4.5
Function A because its rate is positive while Function B's rate is negative