Answer:
P=500
Step-by-step explanation:
My reasoning is multiply 0.05 and 2 and you get 0.1. Then you divide 0.1 out of 50 and get 500. Too check the answer you take 500 and multiply it by 0.05 and then multiply it by 2 and you should get an answer of 50 like it says in the equation.
-(7+8/100)
= -(7+4/50)
= -(7+2/25)
= -177/25
Given:
The line passing through (-2,5) and (2,p) has a gradient of
.
To find:
The value of p.
Solution:
If a line passes through two points, then the slope of the line is:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The line passing through (-2,5) and (2,p). So, the slope of the line is:
![m=\dfrac{p-5}{2-(-2)}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7Bp-5%7D%7B2-%28-2%29%7D)
![m=\dfrac{p-5}{2+2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7Bp-5%7D%7B2%2B2%7D)
![m=\dfrac{p-5}{4}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7Bp-5%7D%7B4%7D)
It is given that the gradient or slope of the line is
.
![\dfrac{p-5}{4}=-\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bp-5%7D%7B4%7D%3D-%5Cdfrac%7B1%7D%7B2%7D)
On cross multiplication, we get
![2(p-5)=-4(1)](https://tex.z-dn.net/?f=2%28p-5%29%3D-4%281%29)
![2p-10=-4](https://tex.z-dn.net/?f=2p-10%3D-4)
![2p=-4+10](https://tex.z-dn.net/?f=2p%3D-4%2B10)
![2p=6](https://tex.z-dn.net/?f=2p%3D6)
Divide both sides by 2.
![p=3](https://tex.z-dn.net/?f=p%3D3)
Therefore, the value of p is 3.
8.8 squared + 9.5 squared = square root 12.94 rounded 12.1
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴