Answer:
hope this helps
Step-by-step explanation:
The square of a positive integer added to 4 times the integer is 437..
x2 + 4x = 437
I chose to do this by completing the square..
x2+4x+4 = 437 + 4
(x+2)2 = 441
Take square root of both sides
x+2 = ±√441
x = -2 ± 21
x = -23 or x = 19
x = 19
Answer:
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
Step-by-step explanation:
A ray can be named by any pair of points on an infinite line. Point O, X, and Y on the same line can be used to name rays OX, OY, XY, YX, OY, and XO. The first point named is the end point of the ray. The ray goes through the other point and continues indefinitely.
BA can be the name of a line segment, but not a ray. The line shown does not extend from point B beyond point A.
Any segment can be named by its end points in either order.
So, we have ...
- Line XY contains ray OX and ray OY
- Line XY contains segment YX
- Ray YX exists in the diagram
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98