We can use the vertex form of a quadratic,
, to find that
. Plugging
ordered pairs into g(x), we see that a = 1. For example, for
,
. Solving for a gives 1.
The graph of y = (-3x)^2 is much narrower than it's original graph, but still keeps all of the other properties of it's parent parable y = x^2. The new graph's with is that of the original parabola's with divided by 3.
Answer:
Step-by-step explanation:
The triangle is shown in the attachment.
Recall that;
This implies that;
We substitute the values into the ratio to obtain
Answer:
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
so
The perimeter of triangle is equal to
Eliminate parenthesis
Combine like terms
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
