The midpoint of the line segment joining the points (10,7) and (negative 2,negative 7) is (4, 0)
<h3>
<u>Solution:</u></h3>
Given that line segment joining the points (10,7) and (negative 2, negative 7)
Thus the two points are (10, 7) and (-2, -7)
The midpoint of two points 
and 
is given as:
Substituting the values in formula, we get
Thus the midpoint of line segment is (4, 0)
The explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
In the first week, only 15 shirts were sold. In the next week, 22 shirts were sold and in the third week, 29 shirts were sold.
15, 22, 29,...
The first term a = 15
The common difference d = 22 - 15 = 7
a(n) = 15 + (n - 1)7
a(n) = 7n + 8
Thus, the explicit rule for the arithmetic sequence is a(n) = 7n + 8 if the arithmetic series is 15, 22, 29,...
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
Answer:
√27
Step-by-step explanation:
The triangles of the pyramid are equilateral triangles with sides of 6''.
Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:
3² + s² = 6²
s² = 6² - 3²
s = √27
