Answer:
Larger number:
16
Smaller number
3
Step-by-step explanation:
Larger number: 16
Smaller number: 3
Explanation:
Suppose the larger number is
a
and the smaller number is
b
.
You solve the following system of equations:
a⋅b=48
a−13=b
Since b is a −13, you can plug that into a⋅b=48, so...a⋅(a−13)=48
a 2−13a=48
a2−13a−48=0
Factor the polynomial:
(a−16)(a+3)=0
a=16 or a=−3a is positive so a=16.
We can now solve for b by plugging in a, so...16−13=b3=b We have a=16 and b=3, meaning that the larger number is 16 and the smaller number is 3.
28 is not a cube, and 63 is not a square. The simplest form is the form you have.
![\sqrt[3]{28}-\sqrt{63}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B28%7D-%5Csqrt%7B63%7D)
7x-2=-23 add 2 to both sides to get 7x by itself
7x=-23+2 now add the right side
7x=-21 now divide both sides by 7
x=-21/7
x=-3
To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
