Mark received £ 132
<em><u>Solution:</u></em>
Given that £440 is divided between David, Mark & Henry
Let "d" be the share of david
Let "m" be the share of mark
Let "h" be the share of henry
Total amount is 440
Therefore,
share of david + share of mark + share of henry = 440
d + m + h = 440 ------- eqn 1
<em><u>David gets twice as much as Mark</u></em>
d = 2m ----- eqn 2
<em><u>Mark gets three times as much as Henry</u></em>
m = 3h
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
Thus Mark received £ 132
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
tan(x) = 10/60
tan(x) = 1/6
tan(x) = a -> x = arctan(a) + πn
x = arctan(1/6) + πn
x = 0.165 + πn
Best of Luck!
Answer:
Tangent = opposite / adjacent
Tangent of 45º equals 1
Step-by-step explanation:
Answer : AB = 12
Explanation:
2x + 6 + 5x - 3 = 24
7x + 3 = 24
x = 3
AB = 2x + 6 = 2(3) + 6 = 12
