Answer:
x=18.7
Step-by-step explanation:
x+17+5x+10+4x-34=180
10x-7=180
10x=187
x=18.7
all angles in a trianlge add up to 180 degrees
The descriminant is b^2-4ac so for 26 it would be -5^2 - 4 (1) (7). The quadratic formula is -B plus or minus the square root of b squared minus 4ac over 2a
Negative because if you mark it on the graph they go in a downwards line which would be a negative slope on the graph :)
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
![m \propto\ r^3](https://tex.z-dn.net/?f=m%20%5Cpropto%5C%20r%5E3)
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
![m = kr^3](https://tex.z-dn.net/?f=m%20%3D%20kr%5E3)
Given
r=3,m=216
Putting the values
![216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8](https://tex.z-dn.net/?f=216%20%3D%20k%283%29%5E3%5C%5C216%20%3D%20k%20%2A%2027%5C%5Ck%20%3D%20%5Cfrac%7B216%7D%7B27%7D%5C%5Ck%20%3D%208)
The equation will now become
![m = 8r^3](https://tex.z-dn.net/?f=m%20%3D%208r%5E3)
Putting r = 5
![m = 8(5)^3\\m = 8 * 125\\m = 1000](https://tex.z-dn.net/?f=m%20%3D%208%285%29%5E3%5C%5Cm%20%3D%208%20%2A%20125%5C%5Cm%20%3D%201000)
Hence,
The value of m is 1000 for r=5