Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = 
, thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + 
x + 4 - 1
= x² + x + 3 ← in standard form
Step-by-step explanation:
Divide two on both sides to get rid of it and the make the equation in the form y = mx + c
y = 3/2x + 5
since both lines are parallel they must have the same gradient which is 3/2
y = 3/2x + c
All you have to do now is to replace x and y with (2, -5) to find c
x = 2
y = -5
-5 = 3/2 × 2 + c
-5 = 3 + c
c = -5-3
c = -8
Answer:
x ≥12
Step-by-step explanation:
-3x ≤ -36
Divide each side by -3, remembering to flip the inequality
-3x/-3 ≥ -36/-3
x ≥12
Answer: x ≥ 6
Step-by-step explanation:
So 6 - 20 would equal -14 which is greater than -15 making it our inequality equal to or greater then 6
This figure has four points labeled, 2 rays which you can see labeled and one right angle. The rays are named Ray BA, and Ray BD, The right angle is angle ABD, or angle ABC. A ray has one and point and goes on forever in the other direction which is indicated with an arrow. A right angle measures 90°. You can potentially put any number of points on a line. Angles can also be named by the vertex.
