Answer:
-10
Step-by-step explanation:
Solving for y gives ...
20y = 2x +6
y = 2/20x +6/20 = 1/10x +3/10
The slope of the given line is the coefficient of x: 1/10. The slope of the perpendicular line is the opposite reciprocal of this: -1/(1/10) = -10.
The perpendicular line has a slope of -10.
Answer:
C.) 5, 12, 13
Step-by-step explanation:
In a right triangle, the sum of the squares of the two shorter sides must equal the square of the longest side (Pythagoras).
a² + b² = c²
We can test each set of numbers to see which one fits.
A.) 8² + 12² = 16²
64 + 144 = 256
208 ≠ 256
B.) 6² + 7² = 8²
36 + 49 = 64
85 ≠ 64
C.) 5² + 12² = 13²
25 + 144 = 169
169 = 169
The numbers 5, 12, and 13 could represent the lengths of the sides of a right triangle.
D.) 16² + 32² = 36²
256 + 1024 = 1296
1280 ≠ 1296
Answer:
.
Step-by-step explanation:
(6x–1)(6x+1) - 4x(9x+2) = −1
Simplify the left side:
36x^2-1 -36x^2-8x = -1
Combine like terms:
-1 -8x = -1
Add 1 to both sides:
-8x = 0
Divide both sides by -8:
x = 0 / -8
x = 0
The root is 0
Answer:
(-1,1)
Step-by-step explanation: