Answer:
A) 12 / 13
Step-by-step explanation:
The Sine of a number is defined as the ratio of the length of the side opposite the angle, divided by the length of the hypotensue.
A <em>scale factor </em>essentially takes all of the lengths on an object and multiplies them by itself.
For instance, a square with side lengths of 4 scaled by a factor of 2 would have scaled side lengths of 4 x 2 = 8, and that same square scaled by a factor of 1/2 would have side lengths 4 x 1/2 = 2. Scaling something by a factor of 1 keeps it exactly the same, since any number multiplied by 1 is unchanged - this means that 1 is basically the "pivot number" for scaling.
Any scale factor <em>greater </em>than one will scale an object <em>up </em>to larger dimensions, while any scale factor <em>less </em>than one will scale an object <em>down </em>to smaller dimensions.
Answer:
x = (r+d)/c
If all you need is for the x to stand alone, all you must do is get rid of all of the values on its side of its equation. So in the equation cx=r+d, the only value with x is c. To get rid of this, you divide it on both sides of the equation to get x = (r+d)/c.
the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
