Supplementary angle or obtuse
g
So, let's say that I have 3 bills: a 50 dollar bill, a 100 dollar bill and 1 dollar bill.
I need to buy 9 pens for my friends, and each of the pens costs 4.34 dollars.
I want to know if I can just take the 50 dollar bill, since I'm not too comfortable to carry the 100 dollar bill the whole day.
A quick estiate tells me that 10 times 5 is 50, and since both numbers are less, then in fact, 50 dollar bill will be enough!
Degree is exponent, so 5th degree
difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
t^2-5^2=(t-5)(t+5)
2nd one
complete square
take 1/2 of linear coefient and square it
-6/2=-3, (-3)^2=9
add that to both sides
x^2-6x+9=-8+9
x^2-6x+9=1
factor
(x-3)^2=1
sqrt
take neg and pos root
x-3=+/-1
add 3
x=3+/-1
x=3+1 or x=3-1
x=4 or 2
3rd option
Answer:
20 degrees
65 degrees
95 degrees
Step-by-step explanation:
Add the numbers in the ratio.
4+13+19=36
Divide the sum of all the angles in a triangle by the sum of the numbers in the ratio.
180/36=5
Multiplying 5 to each of the numbers in the ratio will give the measures of the angles.
4(5)=20 degrees
13(5)=65 degrees
19(5)=95 degrees
Step-by-step explanation:
The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)
Step-by-step explanation:
The function f(x) = |3x| + 3
Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.
So, The interval of increasing for the function f(x) : (-∞, +∞)
The function g(x) = -x² + 8x - 5
⇒ g'(x) = -2x + 8
To find critical points : g'(x) = 0
⇒ -2x + 8 = 0
⇒ x = 4
So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)
Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)
Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)