Converting to vertex form is one way of doing this
2x^2 + 12x + 19
= 2(x^2 + 6x) + 19
= 2 [ x + 3)^2 - 9] + 19
= 2(x + 3)^2 - 18 + 19
= 2(x + 3)^2 + 1
the minimum value is 1
First, find R angle at TRS = 180-(10x+13)
then you know that total angles of a triangle is 180 so
TRS+RST+STR
180-(10x+13) + 8x+1 + 34 = 180
180-10x-13+8x+1+34 = 180
-13+1+34 = 10x-8x
22 = 2x
then x = 11
49.87777777777778
easy divsion
Answer:
<h2>12</h2>
Step-by-step explanation:
The Mean is the average of the numbers: a calculated "central" value of a set of numbers.
To calculate it:
• add up all the numbers,
• then divide by how many numbers there are.
We have: 18, 16, x, 9, 12, 23 - six numbers (<em>n = 6</em>) and <em>mean = 15.</em>
Substitute:
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°
