Answer:
a. 7.2
b. 6
Step-by-step explanation:
Since the side lengths of similar polygons are proportional to each other, therefore:
Thus, let's find b using:
Cross multiply
Divide both sides by 15
b = 6
Let's find a using:
Cross multiply
9*12 = 15*a
108 = 15a
Divide both sides by 15
a = 7.2
Step-by-step explanation:
y=x+1
y= -½x -8
x+1= -½x -8
1½x= -9
x = -9/ 1½
x = -6
y = -6+1 = -5
the solution (-6, -5)
Answer:
Step-by-step explanation:
we know that
The directrix of the parabola is perpendicular to the axis of symmetry of the parabola
In this problem the directrix is y=-3.5
so
The axis of symmetry is parallel to the y-axis
we have a vertical parabola
Also, the vertex is at the origin
That means-----> the parabola open upward
The equation of a vertical parabola can be written as
where
p is the distance between the vertex and the directrix
In this problem
the distance between the vertex and the directrix is 3.5
----> the value of p is positive because the parabola open upward
substitute
isolate the variable y