Answer:
10.9
Step-by-step explanation:
Pythagoras theorem- a² + b² = c²
Since this is a right angle with each side on the right angle's length given you can use pythagoras theorem.
7² + 8.44² = c²
= 49 + 70.56 = c²
= 119.56 = c²
∴ c = √119.56
= 10.9
This involvea factoring the polynomial into binomials and solving.
So make it (3x+1)(x-7)
X equals 7 and -1/3
Answer:

Step-by-step explanation:
The given system is:


Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.
This gives me the system:


We could solve the first equation for
and replace the second
with that.
Let's do that.

Subtract
on both sides:

So we are replacing the second
in the second equation with
which gives us:





Now recall the first equation we arranged so that
was the subject. I'm referring to
.
We can now find
given that
using the equation
.
Let's do that.
with
:



So the solution is (8,-1).
We can check this point by plugging it into both equations.
If both equations render true for that point, then we have verify the solution.
Let's try it.
with
:


is a true equation so the "solution" looks promising still.
with
:


is also true so the solution has been verified since both equations render true for that point.
This would look like 6x/11. Since the problem doesn’t state the answer then you would simply write the expression.