Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
Answer:
Real part = 3 & imaginary part = 1
2) 4 + 7i - 8 = 4 -8 + 7i
= -4 + 7i
Real part = -4 & imaginary part = 7
Real part = -2 & imaginary part = -5
b) 1) 6 + 4i
2) -12+ 5i
3) 5-14i
Answer:
y = 7
Step-by-step explanation:
Given
4y - 6 = 2y + 8 ( subtract 2y from both sides )
2y - 6 = 8 ( add 6 to both sides )
2y = 14 ( divide both sides by 2 )
y = 7
