Answer:
215.16
Step-by-step explanation:
1/3(48.9)(13.2)=215.16
Answer: To know whether a radical expression is in simplest form or not you should put the numbers and letters inside the radical in terms of prime factors. Then, the radical expression is in the simplest form if all the numbers and letters inside the radical are prime factors with a power less than the index of the radical
Explanation:
Any prime factor raised to a power greater than the index of the root can be simplified and any factor raised to a power less than the index of the root cannot be simplified
For example simplify the following radical in its simplest form:
1) Factor 3645 in its prime factors: 3645 = 3^6 * 5
2) Since the powr of 3 is 6, and 6 can be divided by the index of the root, 5, you can simplify in this way:
- 6 ÷ 5 = 1 with reminder 1, so 3^1 leaves the radical and 3^1 stays in the radical
3) since the factor 5 has power 1 it can not leave the radical
4) the power of a is 8, then:
8 ÷ 5 = 1 with reminder 3 => a^1 leaves the radical and a^3 stays inside the radical.
5) the power of b is 7, then:
7 ÷ 5 = 1 with reminder 2 => b^1 leaves the radical and b^2 stays inside the radical
6) the power of c is 3. Since 3 is less than 5 (the index of the radical) c^3 stays inside the radical.
7) the expression simplified to its simplest form is
And you know
it cannot be further simplified because all the numbers and letters inside the radical are prime factors with a power less than the index of the radical.
This equation follows the format y=mx+b, where m is the slope of the line and b is the y intercept. In this question, the slope of the line is -2 and the y-intercept is 5.
<em>The slope of the line is -2:</em> this means that each point is down 2 and to the right 1 of each other.
<em>The y-intercept is 5</em>: this means that the line crosses the y-axis at 5.
The picture shows the graphed line.
Hope this helps!
Answer:
The answer is units squared.
Step-by-step explanation:
If we find the diameter, we can find the radius by halving the diameter.
We can find the diameter by using the endpoints of the diameter.
The distance formula will give us the length between (3,1) and (9,9).
The distance formula is .
The distance between the 's is 9-3=6.
The distance between the 's is 9-1=8.
The distance between the points is given by .
The radius is therefore .
We are asked to find the area of this circle.
The formula for finding the area of a circle is .
Since the radius is , then the area in terms of ,(pi), is .
The answer is units squared.
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8