Equilateral triangle are also equiangular which means all angles are 60 degrees. thus our needed altitude is the leg of a right triangle with other leg 4 and hypotenuse 8. 4² +a² = 8²
a² = 48
a=√48 = 4√3
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.
y = 2(x^2 -4x) +3
y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square
y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form
Answer:
relationship between base and perpendicular is given by tan angle
tan ?=perpendicular./base
tan?=5/16
?=tan-¹(5/16)=17.35=17
Answer:
The graph with coordinates x6,y8
Step-by-step explanation:
15 because 3/4 is equivalent to 75% and 75% of 20 is 15.