Answer:
slope = -7/3
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
We need to implement the points into this formula
y2 = 3
y1 = -4
x2 = -1
x1 = 2
(3-(-4)) divided by (-1-2) = 7/-3 = -7/3
Answer:
b = 40 and -40
Step-by-step explanation:
General form of Perfect square trinomial is a 2 + 2 a b + b 2
Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40
The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .
if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40
The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .
The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .
You started with nothing: 0
He gave you 8: +8
You spend 6: -6
He gave you 5 more: +5
0 + 8 - 6 + 5 = 7 dollars left to spend.
Answer:
5 small containers will be required and used.
This water is used to fill four and half small containers exactly.
4.5 small containers
Step-by-step explanation:
The rectangular container has dimensions 12*12*45 cm and the small container has dimensions 6*5*8 cm
The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm
The volume of the water in the rectangular container with a square base is
12*12*7.5= 1080 cm³
The volume of the water in the smaller container is
6*5*8= 240 cm³
Number of smaller containers required = Volume of large container / Volume of smaller container
Number of smaller containers required =1080 cm³/240 cm³= 4.5
This water is used to fill four and half small containers exactly.
So since 8+12 is in parenthesis, you do that first. 8+12= 20, so then you multiply that by 4 and get 80!