Answer:
x=29
Does the answer help you?
Answer:
![cos^{-1} (\frac{8}{[tex]\sqrt{113}](https://tex.z-dn.net/?f=cos%5E%7B-1%7D%20%28%5Cfrac%7B8%7D%7B%5Btex%5D%5Csqrt%7B113%7D)
} )[/tex]
Step-by-step explanation:
Given two vectors a and b,we are rquired to find the angle between them.
a=(8,7);b=(7,0).
Angle between two vectors can be found by dot product of them.
If a and b are two vectors then the dot product of them is given by|a||b|cos(α).
Where α is the angle between the vectors a and b.
Now 
. and 
=56.
Now cosα=
so α= cosine inverse of that.
∴α=
} )[/tex]
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
<em />
(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
A) 13 degrees because it would be 90-77
If two angles are complementary, then the two angles add up to 90 degrees.
If angle A is 77, then the complement would be 90-77 or 13 degrees.
b) The complement of the complement of the angle is the angle itself.
Say the angle A is 30 degrees. It's complement is 90-30 or 60 degrees.
The complement of the 60 degrees is 30 degrees.
So the complement of the complement of the angle would be the angle itself.
Hope this helps :)
