Y=mx+b
y=-1/6x-4
slope= -1/6
Answer:
If M is the midpoint, then LM = MN
3x - 2= 2x +1
x = 3
So LM = 3x - 2 = 9 -2 = 7
LM = 7
Step-by-step explanation:
- The area of the blue square will always equal the sum of the area of the orange and red rectangles
The pythagorian theorem:
a²+b² = c²
now let a be the side of the red triangle and b the side of the orange one
so a² is the area of the red triangle and b² is the area of the orange one
Let c be the side of the blue rectangle
so c² is the area of it
then what we concluded is right
- the hypotenuse is the blue side since it is the larger one
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
