Step-by-step explanation:
perimeter of triangle = s + s + s
perimeter of given triangle = 22 + 17 + 14
= 53 cm
therefore, perimeter of given triangle is <em>53 cm</em>
Answer:
r = 
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use 
to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get 
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get 
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides 
to get r =
Answer:
- y = (x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) Possible answer
- y = (x - 4)(x^2 + 4)(x^2 - 3) Possible answer
Step-by-step explanation:
The simplest answer is that 2i cannot be a lone root. It must have a twin that is - 2i
√3 has the same sort of rule. It cannot be a root all by itself. It also must have a twin, in this case -√3
So the answer must be
(x - 4)(x + 2i)(x - 2i)(x + √3)(x - √3) <<< Possible answer
but this can be reduced even further.
- (x + 2i)(x - 2i) = x^2 - x*2i + x*2i - 4i^2
- (x + 2i)(x - 2i) = x^2 - 4(i)^2
- (x + 2i)(x - 2i) = x^2 + 4. Remember i^2 = - 1
By a similar method (x - √3)(x + √3) = x^2 - 3
So the polynomial is reduced to
(x - 4)(x^2 + 4)(x^2 - 3) <<<< Answer
If this is not among your answers and the factored form is not either, please tell me what is.
Answer:
yes, you got it correct
Step-by-step explanation:
You have to explain how you knew to use 55 and 120, not another option.
Hope it helped! :)
