Answer:
x^2 - 12x = -27
Step-by-step explanation:
Here, we want to isolate the constant for the polynomial
To do this, we start by setting the expression to zero
Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value
Mathematically, we have this as;
x^2 - 12x + 27 = 0
x^2 - 12x = -27
Answer:
a) 
Just one solution
b) 
But we know that the cosine can't be negative so then this equation no have solutions on the reals.
c) 
This is only the solution on the interval assumed.
d) 
Step-by-step explanation:
a. 5 cos(x) − 3 = 0
For this case we can do this:
Now we can divide both sides by 5 and we got:
If we apply arccos on both sides we got:
So for this case the possible solution is:
Just one solution. This is only the solution on the interval assumed.
b. 3 cos(x) + 5 = 0
We can do this:
Then we can divide by 3 both sides and we got:
But we know that the cosine can't be negative so then this equation no have solutions on the reals.
c. 3 sin(x) − 1 = 0
We can do this:
Then we can divide both sides by 3 and we got:
The general solutions would be:
This is only the solution on the interval assumed.
d. tan(x) = −0.115
For this case we can solve the value of x like this:
And then the only possible solution for this case is:
To solve any algebraic equation, we want to get x by itself. Here, x is accompanied by 3.6. So that means we have to get rid of 3.6. To get rid of 3.6, one can either subtract 3.6 from both sides or add -3.6 to each side.
Answer:
17. 37
18. 10
Step-by-step explanation:
Use the formula a squared + b squared = c squared. (a^2 + b^2 = c^2)
For number 17 first square both your side lengths of 12 and 35 to get 144 and 1225.
Then add them together to get 1369. That is your c^2 but now you have to find the square root to get your side length of c. Once you find the square root of 1369 you should get an answer of 37 for your missing side.
Using the same formula of a^2 + b^2 = c^2 you square the two side you’re given and get 576 + b^2 = 676
Since it gives you your a and c side lengths all you do is subtract your a from your c (676 - 576) to get 100 which is your b^2. Then you find the square root of 100, which is 10 because 10 times itself is 100, you’ll have your b side length of 10
