Say you had the numbers 3 and 4. The LCM is the lowest number that both 3 and 4 will factor into.
The multiples of 4: 4,8,12,16,20,24
The multiples of 3: 3,6,9,12,15,18,21,24
They both factor into 12 and 24 but 12 is the least common multiple or smallest number they both go into :) I really hope this helps!! :)
Given:
Radius of the sphere = 10 in
To find:
The surface area of a sphere
Solution:
Surface area of sphere:
in²
The surface area of a sphere is 400π in².
Answer:
y = 17x-67
Step-by-step explanation:
The one point form of line also called slope point form is given by
where (x1, y1) is the point and m is slope
Given: (x1, y1) = (4,1) and m= 17
Substituting these values in above equation to find equation in point-slope form
(y-1)=17(x-4)
y-1 = 17x-68
y = 17x-67
the point -slope form of equation y = 17x-67
Answer:
B
Step-by-step explanation:
just think about it :
can it move up or down ? no, because for a specific input value still the same functional result is calculated (nothing is getting bigger or smaller).
all that is happening that way is that now, with using g(x), the original f(x) functional values happen now 2 units "later" = to the right (if you consider the x-axis a time line growing to the right). we are getting the functional value of f(x-2) at x and not at x-2 for g(x).
for example
the functional values are for x² (just some integers to make it easier) :
x = 1, 2, 3, 4, 5, ...
getting
f(1), f(2), f(3), f(4), f(5), ...
leading to
1², 2², 3² 4², 5², ...
which is
1, 4, 9, 16, 25, ...
now, let's say we start looking at x = 3
x = 3, 4, 5, 6, 7, ...
getting
g(3), g(4), g(5), g(6), g(7), ..
leading to
1², 2², 3² 4², 5², ...
which is
1, 4, 9, 16, 25, ...
so, now we are getting the functional value at e.g. x = 5 that we got originally for x = 3 (9).
therefore, under g(x) the original functional values still "happen", they just simply "happen" 2 units "later" (to the right).
in the same way
g(x) = f(x+2) moves everything 2 units to the left (now things are happening "earlier").
Answer:
Imagine an easier version of this problem: You have a board 5 feet long that you must cut (divide, right?) into two equal parts. It is probably clear to you that you simply divide the length (5) by the number of parts you're dividing it into (2) to obtain the length of each piece (2.5 feet).
Use the same method for your problem 5 feet divided by 6 is 0.83 feet per piece.
We do not ordinarily divide feet into decimal portions, but instead into inches. Since an inch is 1/12 of a foot, you could simply say 5/6 = how many twelfths? or 5/6 = n/12 Solve this by inspection or by cross multiplying 5 times 12 equals n times 6. So n must equal 10, and your pieces of board are each 10 inches long.
