<span>4p - 5 • (p + 6)
</span>-p - 30 = -1 • (p + 30)<span>
</span>
<span> -p - 30</span>
Firstly, let's factorise each equation individually - to do this, find 2 numbers that when summed add to the value of the second term, and when multiplied give the value of the third term.
7 and 12 give us 4 and 3 (4+3=7, 4*3=12) -- 8 and 15 give us 5 and 3 (5+3=8, 5*3=15)
Now we can rewrite these equations as (y+4)(y+3) and (y+5)(y+3) respectively.
Putting this in a fraction: (y+4)(y+3)/(y+5)(y+3) -- We can clearly see that there is a y+3 on both sides of the fraction, and given there are no terms outside of the brackets being multiplied, we can directly cancel.
This gives us our final answer:
(y+4)/(y+5)
We are given a right triangle and we are asked to determine the hypotenuse given the measure of its sides. To do that we will use the Pythagorean theorem:
Now, we solve the square:
Now, we add the values:
Now, we take the square root to both sides:
![h=\sqrt[]{500km^2}](https://tex.z-dn.net/?f=h%3D%5Csqrt%5B%5D%7B500km%5E2%7D)
Solving the operations:
Therefore, the length of the hypotenuse is 22.361 kilometers.
Step-by-step explanation:
5x−4=5
1 Add 44 to both sides.
5x=5+4
5x=5+4
2 Simplify 5+45+4 to 99.
5x=9
5x=9
3 Divide both sides by 55.
x=\frac{9}{5}
x=
5
9
