We are trying to find the number that when added to 19, gives us less than 42. We can set up this simple inequality:
19 + x < 42
Now, subtract 19 from both sides:
x < 23
Our number can be anything less than 23.
So,
First you have to distribute the numbers outside of the parentheses (you multiply them with the numbers inside of the parentheses
-18+(-9a) + 8a +36=11
Then collect like terms
18-1a =11
-18 -18
---------------------
-1a=-7
Divide both sides by -1
a=7
Answer:
x =76.45 degrees
Step-by-step explanation:
72 + 252 – 2(7)(25)cos _x__=242
combine like terms
324-350cosx = 242
subtract 324 from each side
-350x = -82
divide by -350
cos x = -82/-350
cos x = 82/350
take the arccos of each side
arccos (cos x) = arccos (82/350)
x =76.45 degrees
Answer:
( x - 2 )^2 + ( y - 1 )^2 = 1
Step-by-step explanation:
As i previously explained,
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
Here, We have (2,1) as the co-ordinates of the center of circle
Now,
( x - h )^2 + ( y - k )^2 = r^2
or,( x - 2 )^2 + ( y - 1 )^2 = r^2
The radius of the circle is 1 units(from figure)
So, put that in, we get
( x - 2 )^2 + ( y - 1 )^2 = 1^2
or, ( x - 2 )^2 + ( y - 1 )^2 = 1
You can simplify this or leave it here.
3x(x+3)^2
3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x
answer
3x^3 + 18x^2 + 27x
