Answer:
p = -10 and p = -5
Step-by-step explanation:
Given inequality,
![90 < -30 p + 15](https://tex.z-dn.net/?f=90%20%3C%20-30%20p%20%2B%2015)
Subtract -15 on both sides of inequality,
![90 - 15 < -30 p](https://tex.z-dn.net/?f=90%20-%2015%20%3C%20-30%20p)
![75 < -30 p](https://tex.z-dn.net/?f=75%20%3C%20-30%20p)
Divide both sides of inequality by 30
![2.5](https://tex.z-dn.net/?f=2.5%3C-p)
( a < b ⇒ -a > -b )
![-2.5>p](https://tex.z-dn.net/?f=-2.5%3Ep)
Hence, p must be less than -2.5
So, the possible value of p from the given options are,
p = -10 and p = -5.
Answer:
(I don't know if this is correct)
To find the length of the rectangle, you need to first do 20 x 2 = 40 because when you finding the perimeter you have to do W + L + W + L = P (or Wx2 + Lx2 = P). You then subtract 40 from 68 (68 - 40) where you get 28 left. you then just divide 28/2 and you get 14. I may be way off but that's how I learned it.
The area is just the base times the height. In this case, the base is (x+4) and the height is (x+6), and then you just distribute to get x^2 +4x+6x+24 which is x^2+10x+24.
Answer:
-1.5
Step-by-step explanation:
To work out the gradient of the line, we use this equation:
![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
Substituting in, we get:
![\frac{5 - ( - 4)}{ - 2 - 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20-%20%28%20-%204%29%7D%7B%20-%202%20-%204%7D%20)
Which simplifies to:
![\frac{9}{ - 6} = \frac{3}{ - 2} = - \frac{3}{2} = - 1.5](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B%20-%206%7D%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20-%202%7D%20%20%3D%20%20-%20%20%5Cfrac%7B3%7D%7B2%7D%20%20%3D%20%20-%201.5)