Answer:
Choice B: 
.
Step-by-step explanation:
For a parabola with vertex 
, the vertex form equation of that parabola in would be:
.
In this question, the vertex is 
, such that 
and 
. There would exist a constant 
such that the equation of this parabola would be:
.
The next step is to find the value of the constant .
Given that this parabola includes the point 
, 
and 
would need to satisfy the equation of this parabola, .
Substitute these two values into the equation for this parabola:
.
Solve this equation for :
.
.
Hence, the equation of this parabola would be:
.
Answer:
<em>The slope of the line</em> 3.
Step-by-step explanation:
The line is going through 3. Although<em> it is not -3,</em> because if the line is <em>sloping upward from left to right,</em> then the slope is <em>positive (+)</em>. If the line is <em>sloping downward from left to right,</em> the slope is <em>negative (-).</em>
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
( 
, 
)
( 
, 
)
is m = 
Slopes of perpendicular lines are opposite reciprocal: 
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
= 
= 
Slope of perpendicular line through points (3, 5) and (k, 12) is = 
or = 
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
Answer:
1: x
=
10
−
y
=
20
−
2
x
2: x
=
y
=
Step-by-step explanation:
