Answer:
43.5 unit^2.
Step-by-step explanation:
Area of the triangle
= 1/2 * base * height
= 1/2 * AB * AC.
AB = √ [(6-1)^2 + (6-8)^2] = √29
AC = √ [(8 - (-7))^2 + (1 - (-5)^2] = √261
So the area = 1/2 * √29 * √261
= 43.5
Answer:
output = n + 2
Step-by-step explanation:
from the table of input/ output values
2 → 4 is 2 + 2 = 4
5 → 7 is 5 + 2 = 7
9 → 11 is 9 + 2 = 11
Thus to obtain the output add 2 to the input
When input is n then output is n + 2
Simplify each term.
7x^2 + 15x - 2/x + 3
Hope this helps! :)
Since the shape is a square, it has 90° angles.
if cut in half, it creates a 45-45-90 triangle.
using this, you can use the ratio of 1:sqrt2 to find x. so the ratio would be x:6 to 1:sqrt2.
divide 6 by sqrt2 to find x, and then rationalize for it to become 6sqrt2/2, which would simplify even further to 3sqrt2
Angle 1 is 122 degrees bc of vertical angle
Angle 2 is 87 degrees bc of alt ext angle converse
Angle 3 93 degrees
Angle 4 is 58 degrees