Answer:
see explanation
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
Given the equation in standard form : ax² + bx + c : a ≠ 0
then the x-coordinate of the vertex is
= - 
j(x) = x² - 12x + 7 is in standard form
with a = 1, b = - 12 and c = 7, hence
= - 
= 6
substitute x = 6 into j(x) for y- coordinate
y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29
vertex = (6, - 29 ) and
j(x) = (x - 6)² - 29 ← equation in vertex form
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
Answer:
if you are moving yellow to where blue is (x + 10, y + 10)
if you are moving blue to where yellow is (x + -10, y + -10)
Step-by-step explanation:
moving yellow
move the points to the left 10 spaces for x
move the points up 10 spaces for y
moving blue
move the points to the right 10 spaces for x
move the points down 10 spaces for y
Answer:
25 meters
Step-by-step explanation:
30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)
30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second
30 km/hr = 8.3333333333 m/s (approximate)
----------
The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,
distance = rate*time
d = r*t
d = 8.3333333333 * 3
d = 24.9999999999
Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.
Just multiply 17 x 6=102
Then write 0.102
