Use dot product
a=(x1,y1) and b=(x2,y2)
a.b=/a/*/b/ cos x
a.b mean dot product of two vectors
a.b is equals x1*y1+x2*y2
Answer:
82.5°
Step-by-step explanation:
This is the case of a isosceles triangle , as you may know in a isosceles triangle , there are two sides of equal length as well as two equal angles.
You know that the sum of angles in a triangle is 180°, therefore it comes to this equation :
15° + 2x = 180°
2x = 165°
x = 82.5°
therefore 82.5° is the correct answer.
The answer: the second one y= -2x+7
Answer:
Step-by-step explanation:
Suppose m = 2 + 6i, and |m+n|=3√10,
The modulus sign means m+n can either be positive or negative as shown.
If it is positive:.2+6i+n = 3√10
n = 3√10-(2+6i)
n = 3√10-2-18√10i
n = (-2+3√10)+√10i
b) Example of the complex number is given as (-2+3√10)+√10i. This is a complex number because it contains the real part and the imaginary part.
Answer:
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
Step-by-step explanation:
h(x) = ln x / √(x² + 1)
You can either use quotient rule, or you can rewrite using negative exponents and use product rule.
h(x) = (ln x) (x² + 1)^(-½)
h'(x) = (ln x) (-½) (x² + 1)^(-³/₂) (2x) + (1/x) (x² + 1)^(-½)
h'(x) = (-x ln x) (x² + 1)^(-³/₂) + (1/x) (x² + 1)^(-½)
h'(x) = (x² + 1)^(-³/₂) (-x ln x + (1/x) (x² + 1))
h'(x) = (1/x) (x² + 1)^(-³/₂) (-x² ln x + x² + 1)
h'(x) = (-x² ln x + x² + 1) / (x (x² + 1)^(³/₂))
