The answer would be -1.825.
Answer:
![\binom{4}{0}](https://tex.z-dn.net/?f=%20%5Cbinom%7B4%7D%7B0%7D%20)
Step-by-step explanation:
A column vector is shown in the form
where x is how many spaces to move in the positive x direction y is how many spaces move in the positive y direction.
The vector b moves 4 spaces to the right (which is in the positive direction of x) and doesn't move up or down in the y direction which is 0, so the column vector is ![\binom{4}{0}](https://tex.z-dn.net/?f=%20%5Cbinom%7B4%7D%7B0%7D%20)
The correct answers for x would be
![\frac{2 +/- \sqrt{15} }{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%2B%2F-%20%20%5Csqrt%7B15%7D%20%7D%7B11%7D%20)
.
In order to find this, we must first get the equation to equal 0. In order to do that, subtract 1 from each side to get the following.
11
![x^{2}](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20)
- 4x - 1 = 0
Knowing this we can now use the quadratic equation using a = 11, b = -4 and c = -1. The quadratic equation is below.
![\frac{-b +/- \sqrt{ b^{2} - 4ac} }{2a}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-b%20%2B%2F-%20%20%5Csqrt%7B%20b%5E%7B2%7D%20-%204ac%7D%20%7D%7B2a%7D%20)
Now we can plug the values into the equation to solve.
![\frac{4 +/- \sqrt{ -4^{2} - 4(11)(-1)} }{2(11)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%2B%2F-%20%5Csqrt%7B%20-4%5E%7B2%7D%20-%204%2811%29%28-1%29%7D%20%7D%7B2%2811%29%7D%20)
Then simplify using the order of operations.
![\frac{2 +/- \sqrt{15} }{11}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%2B%2F-%20%5Csqrt%7B15%7D%20%7D%7B11%7D%20)
.
Answer:
The measure of the two angles are 27° and 153° respectively
Step-by-step explanation:
Given parameters
Let the first angle be represented by x°
And the second angle which is supplementary to the first be represented by y°
From the question, we have that y measures 126° less than x.
So, y = x - 126°
Two angles are said to be supplementary if the both add up to 180.
In this case, it means that x and y are supplementary if and only if x and y add up to 180.
x + y = 180
Substitute x - 126 for y
x + x - 126 = 180
2x - 126 = 180 --- collect like terms
2x = 180 + 126
2x = 306 ----- multiply both sides by ½
2x * ½ = 306 * ½
x = 153°
Recall that y = x - 126°
Substituton 153 for x
y = 153 - 126
y = 27°
Hence, the measure of the two angles are 27° and 153° respectively
270 is most probably the answer