Answer:
x = 2
Step-by-step explanation:
Using Pythagoras identity in the right triangle
x² = 10² + 6² = 100 + 36 = 136 ( take the square root of both sides )
x =
=
= 2
Answer: All values make a true statement.
Step-by-step explanation: Since f(x) and g(x)=x, f(x)=g(x) can also be written as x=x. That is a true statement so all values of x works.
Hope this helps!
The first set:
3x + 2y = 2 ---1)
5x + 4y = 6 ---2)
From 1), multiply all by 2, 6x + 4y = 4 ---3)
3) - 2),
6x + 4y - (5x + 4y) = 6 - 4
6x + 4y - 5x - 4y = 2
x = 2
Sub in x = 2 into 1),
3(2) + 2y = 2
2y = -4
y = -2
(2 , -2)
The second set:
3x + 2y = 2 ---1)
11x + 8y = 10 ---2)
From 1), multiply all by 4, 12x + 8y = 8 ---3)
3) - 2),
12x + 8y - (11x + 8y) = 8 - 10
12x + 8y - 11x - 8y = -2
x = -2
From this x value alone, we can tell that these two linear systems do NOT have the same solution as they meet at different coordinates.
Hope this helped! Ask me if there's any working from here that you don't understand! :)
Answer:
1st ans
(8x+19)=(9x+9)(vertically opposite angle)
19-9=9x-8x
x=10
2nd ans
(3x-31)=(x+59)(exterior alternate angle)
3x-x=59+31
2x=90
x=90/2
x=45
3rd ans
(5x-33)+(6x+4)=180(straight angle )
11x-29=180
11x=180+29
x=209/11
x=19