Answer:
11
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
AC *CB = CD CE
4 * (10-4) = CD * 8
4 * 6 = 8 *CD
24 = 8 CD
Divide each side by 8
24/8 = CD
3 = CD
We want the length DE
DE = CD + CE
= 3 + 8
DE = 11
Answer:
1) solve x+1/x = 5






2) solve x³+1/x³

substitute x = 1/4 into the expression





Answer:
Mr. Herrera will hike 78 miles on 6th day.
Step-by-step explanation:
Given:
Number of miles Mr. Herrera will hike in 9 days = 117 miles
Total Number of days =9 days
Let us first find the number of miles he will hike in 1 day
By Using Unitary method we get,
Number of miles Mr. Herrera will hike in 1 days= 
We need to find miles hiked in 6th day.
Number of miles Mr. Herrera will hike on 6th day= Number of miles Mr. Herrera will hike in 1 days
Number of days = 
<h2>
Answer:</h2>
For a real number a, a + 0 = a. TRUE
For a real number a, a + (-a) = 1. FALSE
For a real numbers a and b, | a - b | = | b - a |. TRUE
For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
<h2>Explanation:</h2>
- <u>For a real number a, a + 0 = a. </u><u>TRUE</u>
This comes from the identity property for addition that tells us that<em> zero added to any number is the number itself. </em>So the number in this case is
, so it is true that:

- For a real number a, a + (-a) = 1. FALSE
This is false, because:

For any number
there exists a number
such that 
- For a real numbers a and b, | a - b | = | b - a |. TRUE
This is a property of absolute value. The absolute value means remove the negative for the number, so it is true that:

- For real numbers a, b, and c, a + (b ∙ c) = (a + b)(a + c). FALSE
This is false. By using distributive property we get that:

- For rational numbers a and b when b ≠ 0, is always a rational number. TRUE
A rational number is a number made by two integers and written in the form:
Given that
are rational, then the result of dividing them is also a rational number.