Answer:
A. 24 lap/hour.
B. r = 24h
Step-by-step explanation:
Let r be the number laps.
Let h be the time.
From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:
r & h
r = Kh
Where:
r is the number of laps.
K is the constant of proportionality.
h is the time.
A. Determination of the constant of proportionality.
With the above formula, we can calculate the value of the constant of proportionality, K as follow:
Number of laps (r) = 12 laps
Time (h) = ½ hour
Constant of proportionality (K) =.?
r = Kh
12 = K × ½
12 = K/2
Cross multiply
K = 12 × 2
K = 24 lap/hour
Therefore, constant of proportionality is
24 lap/hour.
B. Equation for relationship between the number of lap and time. This is illustrated below:
r = Kh
K = 24
r = 24h
Therefore, the equation for relationship between the number of lap and time is r = 24h
Check the picture below
so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"
keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k version for parabolas, which is a vertical parabola
as opposed to x = (y-k)²+h, anyway, let's find "a"

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.
It’s True liner y= 3 - 10x
Answer:
(10,6)
Step-by-step explanation:
let c be x2,y2
then apply mid point formula
x=(x1+x2)/2
y=(y1+y2)/2
Answer: 10
Step-by-step explanation:
Vieta's formulas :
5 - 3i + 5 + 3i = b ⇒ b =10
Now, we have the equation:
x² -10x + 34 = 0
Mark me brainliest