Answer:
d = 90°
e = 41°
f = 139°
Step-by-step explanation:
d + 90° = 180° (Angles in linear pair)
-> d = 180° - 90°
-> d = 90°
e = 41° (vertical angles)
f + 41° = 180° (Angles in linear pair)
-> f = 180° - 41°
-> f = 139°
Answer: c
Step-by-step explanation:
To answer the question above, determine the velocity of the car at time zero. To do such, determine the increase in velocity every hour (acceleration).
a = (62 - 53) / (6 -3) = 3 km/ h^2
Calculate for the initial velocity (v) by using either of the velocities paired with the corresponding time,
v = 53 km/h - (3 km/h^2) x 3 h = 44 km/h
The equation is <em>y = 44 + 3x</em>. Where x is the time in hours, y is the velocity in km/h.
Answer:
D
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
here (h, k) = (- 3, - 6), thus
y = a(x + 3)² - 6
To find a substitute (0, 0) into the equation
0 = 9a - 6 ⇒ a = 
= 
y = (x + 3)² - 6 ← in vertex form
Expand (x + 3)² and distribute by
y = (x² + 6x + 9) - 6
= x² + 4x + 6 - 6
= x² + 4x ← in standard form
Answer:
(5/2, 3/2)
Step-by-step explanation:
The midpoint would be:
