Draw a right angle triangle and label b as the corner
keeping in mind that the vertex is between the focus point and the directrix, in this cases we have the focus point above the directrix, meaning is a vertical parabola opening upwards, Check the picture below, which means the "x" is the squared variable.
now, the vertical distance from the focus point to the directrix is , which means the distance "p" is half that or 1/8, and is positive since it's opening upwards.
since the vertex is 1/8 above the directrix, that puts the vertex at , meaning the y-coordinate for the vertex is 2.
I’m not 100% sure but I think it’s y=5x+20
123 5/10 becuase everything on the left side of the dcimal is a whole number and everything on the right side is a fraction. The 5 is in the 10 place so the denominator would be 10 and the numerator would be 5. Your answer is 123 5/10 or simplified, 123 1/2
First subtract 3 from both sides of the equal sign.
9s + 3 = 57
- 3 -3
9s = 54
Then divide both sides by 9.
9s = 54
/9 /9
s = 6
You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6 + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)
Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations.