Answer:
Range, Maximum, and y-intercept
Step-by-step explanation:
Range is the y-values of the function. Each of these functions has a range of (-inf, 10].
The maximum is the largest y-value that is part of the range, which is 10 for both functions.
y-intercept is where the function crosses the y-axis which is 10 for both functions.
The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.
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The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.
A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.
Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6)
Since it is an altitude and pass thru B, t
hen it is perpendicular to AC.
so slope(AC) = (-1 +6)/(-6 - 4) = -5/10 = -1/2
perpendicular lines, slope is opposite and reciprocal so slope = 2
passes through B(3, 7)
y - 7 = 2(x - 3)
y - 7 = 2x - 6
y = 2x + 1
equation in slope intercept form:
y = 2x + 1
Answer:
1/3
Step-by-step explanation:
Answer:
25,133 m^2
Step-by-step explanation:
The lateral area of a cone is found using the slant height (s) and the radius (r) in the formula ...
A = πrs
So, we need to know the radius and the slant height.
The radius is half the diameter, so is (160 m)/2 = 80 m.
The slant height can be found using the Pythagorean theorem:
s^2 = r^2 + (60 m)^2 = (80 m)^2 +(60 m)^2 = (6400 +3600) m^2
s = √(10,000 m^2) = 100 m
Now, we can put these values into the formula to find the lateral area:
A = π(80 m)(100 m) = 8000π m^2 ≈ 25,133 m^2