Answer:
Denpeds on the left hand side of nagetive of the inequality sign
I'm pretty sure it is C. 45 because compass and straightedge is a right angle or an acute angle and 45 is less than a right angle
Answer:
y = (x - 3)² + 6
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = x² - 6x + 15
add/subtract ( half the coefficient of the x- term )² to x² - 6x
y = x² + 2(- 3)x + 9 - 9 + 15
y = (x - 3)² - 9 + 15
y = (x - 3)² + 6 ← in vertex form
<h3>
Answer: D) 6</h3>
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Explanation:
Direct proportion equations are in the form y = kx, for some constant k.
The k value is the constant of proportionality. Solving for k leads to k = y/x.
For each row in the table, divide the y value over the paired x value.
- Row1: k = y/x = 12/2 = 6
- Row2: k = y/x = 24/4 = 6
- Row3: k = y/x = 30/5 = 6
- Row4: k = y/x = 54/9 = 6
Each row leads to the same k value, so the constant of proportionality is 6.
The equation y = kx updates to y = 6x.
This line has slope 6 and y intercept 0.
All direct proportion equations go through the origin.
