One part of six parts is red, so just make it a fraction like so: 1/6 because 1 side is red out of six total parts.
Answer:
Vertex (-2,-9)
zeros: x=1, x=-5
y-intercept: -5
Step-by-step explanation:
When you graph the quadratic equation you obtain the parabola shown in the figure attached.
Find the vertex of the parabola observing the graph, you can that the minimum point of the parabola is at (-2,-9) this is the vertex.
The zeros are the x-intercepts:
x=1; x=-5
And the y-intecept is when x=0 and the parabola cut the y-axis. This is: -5.
Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Two column proofs are organized into statement and reason columns. Each statement must be justified in the reason column. The
reason column will typically include "given", vocabulary definitions, and theorems.
Therefore, w<span>hat can be used as a reason in a two-column proof are:
Postulates
Definitions</span>