Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
The graph of h(x) = 3x^2 is a curved "bowl" like shape that opens upward. The curve is called a parabola. The two ends go on forever upward. It has symmetry along the y axis.
In contrast, the graph f(x) = x is a straight line that goes through (0,0) and (1,1). This is known as a linear equation.
Hey there! :)
Answer:
b = -11.
Step-by-step explanation:
Create an equation in slope-intercept form to solve for the intercept:
y = mx + b
Plug in the slope and point values:
4 = -3(-5) + b
Simplify:
4 = 15 + b
Solve for b:
-11 = b
b represents the y-intercept, therefore:
y-intercept = -11
Answer:
c
Step-by-step explanation:
Answer:
Instrumental understanding – having a mathematical rule and being able to apply and manipulate it. Relational understanding – having a mathematical rule, knowing how to use it AND knowing why it works.
Step-by-step explanation:
Instrumental understanding involves “memorising which problems a method works for and which not, and also learning a different method for each new class of problems” (Skemp 1987, p. 159), is a desire to know “some kind of rule for getting the answer” (p. 155) so that a student can “latch on it and ignore the rest”
