I need help with geometry
2 answers:
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Answer:
C
Step-by-step explanation:
When we speak about the least common multiple, we are talking about the lowest number in which these given values are a factor of
Firstly, I would like to consider the number parts only I.e 3, 12 and 15. Using the long division l.c.m method, the lowest common multiple of these is 60.
In the options, there are two options carrying 60. How do we know which is correct? We simply look at the alphabets and try the long division again.
The highest powers of x and y is the 3rd power and hence gives their lowest common multiple.
Please check the attachment for the long division.
We want to use the given functions to create another function that models the revenue of the worker as a function of the time he works.
The solutions are:
A) r(x) = x^2 - 150
B) $1,850
C) The difference quotient is equal to 2*x.
We have two functions:
f(x) = 36*x^2 - 150
f(x) is the amount of money that he wins for decorating x rooms.
g(x) = (1/6)*x
g(x) is the number of rooms that he decorates in x hours.
So the revenue as a function of time can be given by evaluating f(x) in g(x).
A) we get:
r(x) f( g(x)) = 36*[(1/6)*x]^2 - 150 = x^2 - 150
r(x) = x^2 - 150
B) If he works for 45 hours, we just need to replace x by 45 in the revenue equation:
r(45) = 45^2 - 150 = 1,875
Meaning that he would win $1,875 for 45 hours of work.
C) the difference quotient for a function f(x) is given by:
For the case of r(x) we have:
If you want to learn more, you can read:
Answer:
m∠M = 54°
m∠N = 72°
m∠L = 54°
Step-by-step explanation:
In the figure attached,
ΔLMN is an isosceles triangle having sides MN ≅ NL
Therefore, angles opposite to these sides will be equal in measure.
m∠M ≅ m∠L ≅ (2x + 36)°
Since, m∠M + m∠N + m∠L = 180°
(2x + 36)° + (5x + 27)° + (2x + 36)° = 180°
9x + 99 = 180
9x = 180 - 99
x =
x = 9
Therefore, m∠L = m∠M = (2x + 36)° = (2×9) + 36
= 54°
And m∠N = (5x + 27) = (5×9) + 27
= 72°