Answer:
k=6
Step-by-step explanation:
Line partition formula
1/b(x2-x1)+x1, 1/b(y2-y1)+y1
Where b is the number partitions.
We know the x values so Subsitue 17 for x2 and 2 for x1. and we know this value must equal 7.
1/b(17-2)+2=7
1/b(15)=5
1/b=1/3
b=3
so the partition is 1/3
![\frac{1}{3} (17 - 2) + 2 = 7](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%2817%20-%202%29%20%2B%202%20%3D%207)
So let find the y coordinate
![\frac{1}{3} (8 - 5) + 5 = 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%288%20-%205%29%20%2B%205%20%3D%206)
So our y coordinate is 6.
Answer: x = 6
Formula: ![(x+5)=11](https://tex.z-dn.net/?f=%28x%2B5%29%3D11)
Step-by-step explanation:
We know that an area of a triangle is half of a rectangle.
The bottom side must equal 11, since if the figure was a rectangle, the area would be multiplied by 2, giving us 44.
What minus 5 equals 11?
6.
So x must equal 6.
Answer:
∆= 2
diamond = 5
star = 5
Step-by-step explanation:
hope this helps
There are two ways to solve this question.
1) To solve this question, we need to substitute a = 6 and b = -3 into the given expression and then evaluate:
(-a)(b)(-a + b)
= (-6)(-3)(-6 + (-3))
= 18(-9)
= -162
2) An alternative method is to simplify (-a)(b)(-a + b) into an expression without brackets and then substitute a = 6 and b = -3:
1. (-a)(b)(-a + b)
= (-ab)(-a + b)
= -ab*(-a) + (-ab)*b
= a^(2)b+ (-ab^(2))
= a^(2)b - ab^(2)
2. a^(2)b - ab^(2)
= 6^(2)*(-3) - 6*(-3)^2
= 36*(-3) - 6*9
= -108 - 54
= -162
The key to either method is to be careful with placement of brackets, especially where there are negative values involved.
Black line m = -1/2 b = 2
blue line m = 1/3 b = -3
green line m = 2 b = 1/2
hope this helps.......