5 / 16
m = rise/run = y2 - y1 / x2 - x1
m = 2-7 / (-4) - 12 = -5 / -16
m = 5 / 16
Answer:
MARK AS BRAINLIST
w = 4
L = 7
Step-by-step explanation:
L = length of rectangle
w = width of rectangle
L = 3 + w
A = 28
A = L*w
=(3+w) * w
28 = 3w + w^2
w^2 + 3w - 28 = 0
w^2 + 7w - 4w - 28 = 0
w ( w + 7 ) - 4 ( w + 7 ) =0
( w - 4 ) ( w + 7 ) = 0
w = 4. and w = -7
take the postive value, w = 4
therefore L= 3+4 = 7
The product of something means multiplying the terms together.
(2x+3) (4x^2-5x+6)
Secondly you need to distribute the terms to each other (Think of problems like FOIL)
2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6
Then you must take into account that some of the numbers are negative. (minus-plus rules!)
2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6
Now is the tricky part of simplifying everything.
2x * 4x^2 = 8x^3
2x * 5x = 10x^2
2x * 6 = 12x
3 * 4x^2 = 12x^2
3 * 5x = 15x
3 * 6 = 18
8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
Then you group like terms.
8x^3 - 10x^2 + 12x^2 - 3x + 18
8x^2 + 2x^2 - 3x + 18
The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!
Answer:
1. 2(k + 3)
2. 3. 75 + k
Step-by-step explanation:
1. 2x + 6
Since, 2 is a common factor of 2 and 6, we can take that common outside.
So, 2x + 6 = 2(x + 3)
Note that in the initial expression, this 2 was distributed to arrive at 2x + 6.
2. (1.5 + k) + 2.25
This is simple addition. We can simply remove the brackets to have:
1.5 + k + 2.25
Since, the like terms can be added, we will have:
1.5 + 2. 25 + k
= 3. 75 + k
