There are three answers and they are: choice 2, choice 3, choice 5
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Further Explanation:
Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.
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Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)
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Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.
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Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)
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Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.
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edit update: I changed choice 3 from false to true
here is your answer mate.
in triangle ABC
angle ABC + angleBAC + angleACB = 180 Degrees. (angle sum property of triangle)
90 + 58 + angle ACB = 180 degree.
148 + angle ACB = 180 degree.
angle ACB = 180 - 148
angle ACB = 32 degree
the angle of elevation is 32 degrees
9514 1404 393
Answer:
- y-intercept: (0, -6)
- x-intercepts: (-3, 0), (-1, 0), (1, 0)
Step-by-step explanation:
We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.
f(x) = (2x^3 +6x^2) -(2x +6)
f(x) = 2x^2(x +3) -2(x +3)
f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)
The factors are made to be zero when x is 1, -1, or -3.
The x-intercepts are (1, 0), (-1, 0), (-3, 0).
The y-intercept is the constant, -6.
You would take the square root of x^2 and of 121 so x =11
