y = (3x)/2 + 2
Slope = 3/2
y-intercept = 2
The first point is y-intercept when x = 0 = (0,2). Now according to our slope we move 3 up (Why up? Because it's positive) and 2 right (Why right? Because it's positive).
When you move 3 up from (0,2), you get (0,5) and move 2 right which is (2,5).
Remember: slope = change in y / change in x
Points: (0,2) and (2,5)
Answer:
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
First we must determine a and b from the quadratic: . This is in standard form, with the highest power first in descending order.
Standard form is also:
If we compare this to the quadratic given, we can conclude that:
Substitute the values for a and b into the formula.
Multiply in the denominator.
Divide.
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
Answer:
x =
Step-by-step explanation:
If both the triangles ΔABC and ΔBCD are congruent,
Corresponding sides of both the triangles will be proportional.
5x(4x + 3) = (5x - 2)(3x + 10)
20x² + 15x = 15x² + 50x - 6x - 20
20x² + 15x = 15x² + 44x - 20
20x² - 15x² = 44x - 15x - 20
5x² = 29x - 20
5x² - 29x + 20 = 0
5x² - 25x - 4x + 20 = 0
5x(x - 5) - 4(x - 5) = 0
(5x - 4)(x - 5) = 0