Answer:To get the graph of the given parabola, we will use the equation of the parabola to check if given points in options are lying on that parabola or not. If they lie on the graph of parabola, then they would satisfy the equation, else not. We will use vertex form of parabola to get its vertex.
Thus, by below shown calculations, we have
Option A: On a coordinate plane, a parabola opens up. It goes through (-6, 0), has a vertex at (-2, -8), and goes through (2,0)
To choose the graph, we must make sure that it satisfies both equations of the system simultaneously.
We have then:
a line includes points 0 comma 4 and 3 comma 5
Verifying:
(0, 4)
(0) - 3 (4) = -12
0-12 = -12
-12 = -12
(3, 5)
2x - y = 1
2 (3) - (5) = 1
6-5 = 1
1 = 1
answer
The graph that matches the system of equations is
a line includes points 0 comma 4 and 3 comma 5
Angle Y is a right angle, so it’s 90 degrees. Angle W is 2x, since it’s opposite angles on a single line intersecting parallel lines. Triangles have 180 degrees, so adding up all sides creates the equation to solve:
X+Y+W=180
(3x-5)+90+2x=180
5x+85=180
5x=95
x=19
Let the number is m
then:
<span>one-sixth of a number = 1/6 m = m/6
and:
</span><span>sum of one-sixth of a number and negative two = m/6 - 2
and:
</span>sum of one-sixth of a number and negative two is equal to negative two-thirds : m/6 - 2 = -2/3
solving for m:
m/6 - 2 = -2/3
m/6 = -2/3 + 2
m/6 = 4/3 *6
m = 8Your number is:
sixDone
I hope that
helps!
