Answer:
Step-by-step explanation:
Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)
Slope of line passing through (9, 7) and (2, 9) = (9-7)/(2-9) = -2/7
Answer:
6
Step-by-step explanation:
Have you ever been snaked by a friend then ♀️just for the clout❕they’lldo it again .
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
- A holds more
- A has greater volume
- 24 cubes
Step-by-step explanation:
In terms of cube size, the dimensions of prism A are ...
3 cubes high by 6 cubes wide by 4 cubes deep
The dimensions of prism B are ...
3 cubes high by 8 cubes wide by 2 cubes deep
The volume of each prism (in cubes) is the product of these dimensions:
Va = 3×6×4 = 72 . . . cubes
Vb = 3×8×2 = 48 . . . cubes
__
(a) Prism A holds more cubes
(b) Prism A has a larger volume (which is why it holds more cubes)
(c) The difference in volumes is ...
72 cubes - 48 cubes = 24 cubes
