For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
Answer:
42+18=6(7+3)
Step-by-step explanation:
6x7=42 and 6x3=18
Answer:
RST
Step-by-step explanation:
Look at the angles for M, N and O. They are equal to 79, 60, and 42 degrees, respectively. Now look at the triangle to the right of triangle MNO. In what order should we line up the letters so that the angles for that triangle should also equal 79, 60 and 42 degrees? If you look at it for a second, you should that this problem is easy to solve! Did you get it right! That's right, by lining up the angles in the order RST, the measure of each angle is equal to the measures of MNO.
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Answer:
90.25π
Step-by-step explanation:
The circumference of circle is 2πr, or in other words the diameter times π.
The area of a circle is πr^2.
19π is the circumference of this circle.
So, 19 is the diameter, and 9.5 the radius.
The area if (9.5^2)π.
9.5^2=90.25
So, in terms of π, the area of the circle is 90.25π.
