Answer:
x = 2 ± (i)√5 (Answer b)
Step-by-step explanation:
x²-4x+9=0 can be solved in a variety of ways; the first two that come to mind that are also appropriate are (1) completing the square and (2) using the quadratic formula.
Completing the square is fast here:
Rewrite x²-4x+9=0 as x²-4x +9=0
Identify the coefficient of the x term: it is -4
Take half of that, obtaining -2
Square this result, obtaining 4
Add 4 to x²-4x +9=0, in the blank space in the middle, and then subtract 4: x²-4x +4 -4 +9=0
Rewrite x²-4x +4 as the square of a binomial:
(x - 2)² - 4 + 9 = 0 → (x - 2)² = -5
Take the square root of both sides: x - 2 = ±√(-5) = ± (i)√5
Then x = 2 ± (i)√5
Answer:
135°
Step-by-step explanation:
Using S = rA, where S is arc length, r is radius and A is angle(in radians).
Comparing:
=> 12 = 16A
=> 12/16 = A
=> 3/4 = A
Required radian is 3/4 which is 3/4 * 180° = 135°
No triangle formed
Solution:
Given data:
One angle is 45°
Another angle is 108°
One side is 7 cm
To find how many triangles are formed for the given data.
Let the unknown side of a triangle be x°.
Sum of all the sides of a triangle = 180°
45° + 108° + x° = 180°
⇒ x° = 180° – 45° – 108°
⇒ x° = 27°
There is no such angle can be formed with 27° in the given image.
Hence there is no triangle can be formed.
I believe the answer is 311.157055138. That is if i did my math correctly. I hope this helps. Good luck!
1m is equal to 100cm, so the scale reduces the size of the actual object
