<h3>
Answer: orthocenter</h3>
Explanation:
An altitude of a triangle extends from one vertex to the opposite side, where this altitude is perpendicular to the opposite side. The term "altitude" is often interchanged with "height". Think of a tall mountain that has a lot of altitude, so it's got a lot of height.
Any triangle has 3 different altitudes (one per corner). For any triangle, those three altitudes always intersect at exactly one point: the <u>orthocenter</u>. This is one of the many centers of a triangle. Other centers are the centroid, incenter, and circumcenter.
Answer:
x° = 61°
Step-by-step explanation:
Both of the "unknown" angles in the triangle are equal, since their opposite sides have equal lengths. (The triangle is isosceles.) The sum of angles in a triangle is 180°, so we have ...
58° + x° + x° = 180°
2x° = 122° . . . . subtract 58°, collect terms
x° = 61° . . . . . . . divide by 2
10 units right then 10 units down
Algebra
Divide everything by two, or times everything by 1/2.
This is as far as you could go due to no like-terms.
<h3>Answer:</h3>
- Vertical scaling by a factor of 1/2
- Vertical translation 5 units downward
<h3>Explanation: </h3>
Multiplying a function value by a constant effectively applies a vertical scale factor to that function. The scale factor is the constant. Here, the parent function x² is multiplied by 1/2 (to give 1/2x²). The vertical scale factor is 1/2.
Adding a constant to a function value causes a vertical translation of that function. Every output value is moved upward (translated) by the amount that is added. Here, that added amount is -5, so the vertical movement is downward 5 units.
For f(x) = x², vertical scaling by a factor of 1/2 makes it 1/2x². Translating that downward 5 units makes it ...
... y = 1/2x² - 5 . . . . . . . . . x² scaled and translated
