Answer:
Point
Step-by-step explanation:
Just see it like this
we have a cube, so we have x-, y- and z- axis.
Now if we divide this cube by its z- value we will have a 2 dimensional figure with x- and y- axis.
If we keep doing this we will have a 1 dimensional figure with only a x - axis (a line) and if we divide that 1 more time we will make the figure collapse in 1 point.
See picture below for a geometric view.
Let x = height of building
We use basic trigonometry to find x.
The tangent function = opposite side of right triangle OVER adjacent side of right triangle.
tan(2°) = x/1
Solve for x.
After multiplying both sides by 1 (here 1 represents 1 mile), we get
tan(2°) = x.
We now use the calculator to find x.
In fact, you can take it from here. Use your calculator.
Answer:
0
Step-by-step explanation:
First what you want to do is add together the common numbers
So, take all of the X's and add them together
(-11, 8, and 3)
-11x + 8x + 3x
-3x + 3x
0
So that all evens out
Now just find the other values
(4 and -4)
4 - 4
0
This equation equals 0
Hope this helps!!!
-Unicorns110504
*Please mark brainliest*
For every value tht x increases, y decreases by 3
-3x
Then to find the y intercept, look at 0's corresponding value (8)
-3x+8
Answer:
α² +β² = 3 4/9
Step-by-step explanation:
Assuming α and β are solutions to the equation, it can be factored as ...
(x -α)(x -β) = 0
Expanding this, we get ...
x² -(α +β)x +αβ = 0
Dividing the original equation by 3, we find ...
x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ ⇒ (α+β) = -1/3, αβ = -5/3
We know that the square (α+β)² can be expanded to ...
(α +β)² = α² +β² +2αβ
α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ
Substituting the values for (α+β) and αβ, we find the desired expression is ...
α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9
α² +β² = 3 4/9
