X² + c is actually a quadratic function.
And x² + c = 0, it usually has two zeros which are solutions.
But for when c = 0,
x² + c = 0
x² + 0 = 0
x² = 0
Taking the square root of both sides.
x = 0. Here it only has one zero.
So the function x² + c, only has one root for c = 0.
Answer:
f ( x ) = x² - 1
Step-by-step explanation:
hope this will help
Answer:
Step-by-step explanation:
add like terms.
simplified it would be 2ab+2xy or 2(ab+xy)
Take L.H.S sin2A+sin2B/sin2A-sin2B
= sin2A+sin2B/sin2A-sin2B
Put
[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]
[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]
= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)
= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)
= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)
= tan(A+B).cot(A-B)
= tan(A+B).1/tan(A-B)
= tan(A+B)/tan(A-B)
∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)
Answer:
perimeter = 28.68 cm
area = 15.48 cm^2
Step-by-step explanation:
1. complete the angles in the triangle. sum of all the angles in a triangle is 180 degrees.
therefore 180 - (60 +45) = 75
angle at B is 75 degrees
2. find the sides of the triangle using the sine formula for triangle
sin A/a = sin B/b = sin C/c
we have the angle at C and the side opposite C is also give, we can use that with any other
3. sin A/a = sin C/c
sin 60/a = sin 45/8
make a subject
a = 9.78 cm
4. sin A/a = sin B/b
sin 60/9.78 = sin 75/b
make b subject
b = 10.90 cm
with the three sides, we know that perimeter is the length around an object
adding all the lengths together will give the perimeter
perimeter = 10.90 + 8 + 9.78
= 28.68 cm
5. to find the area we need to find the high of the triangle since the expression for the area of a triangle is 
6. bisecting the side BC will give have as 4.89 cm
7. using Pythagoras theorem we can find the height of the traingle
c^2 = a^2 + b^2
8^2=(4.89)^2 + b^2
64 - 23.9121 = b^2
b= 
b =6.33 cm
insert this into the formula above will give the value for area
which is 15.48 cm^2
area = 1/2 (4.89)(6.33)