Answer:
-True-
Explanation:
the left side
60
is equal to the right side
60
, which means that the given statement is always true.
Answer:
perpendicular (90 deg to each other)
Step-by-step explanation:
Answer:
The factors of
is ((x+y)-5)(2x+2y+1)
Step-by-step explanation:
Given polynomial
=>![2(x+y)^2-9(x+y)-5](https://tex.z-dn.net/?f=2%28x%2By%29%5E2-9%28x%2By%29-5)
To Find:
The factors of the polynomial =?
Solution:
Lets assume k = (x+y)
Then
can be written as ![2k^2-9k-5](https://tex.z-dn.net/?f=2k%5E2-9k-5)
Now by using quadratic formula
k =![\frac{-b\pm\sqrt{(b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%5Csqrt%7B%28b%5E2-4ac%7D%7D%7B2a%7D)
where
a= 2
b= -9
c= -5
Substituting the values, we get
k =![\frac{-b\pm\sqrt{(b^2-4ac)}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%5Cpm%5Csqrt%7B%28b%5E2-4ac%29%7D%7D%7B2a%7D)
k =![\frac{-(-9) \pm \sqrt{((-9)^2-4(2)(-5)}}{2(2))}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-9%29%20%5Cpm%20%5Csqrt%7B%28%28-9%29%5E2-4%282%29%28-5%29%7D%7D%7B2%282%29%29%7D)
k =![\frac{-(-9) \pm \sqrt{(81+40)}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-9%29%20%5Cpm%20%5Csqrt%7B%2881%2B40%29%7D%7D%7B4%7D)
k =![\frac{-(-9) \pm \sqrt{(121)}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-9%29%20%5Cpm%20%5Csqrt%7B%28121%29%7D%7D%7B4%7D)
k =![\frac{-(-9) \pm 11}}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-9%29%20%5Cpm%2011%7D%7D%7B4%7D)
k= ![\frac{ 9 \pm 11}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%209%20%5Cpm%2011%7D%7B4%7D)
k =
k =
![k_2 = -\frac{1}{2}](https://tex.z-dn.net/?f=k_2%20%3D%20-%5Cfrac%7B1%7D%7B2%7D)
![2k^2-9k-5= 2(k-5)(k+\frac{1}{2})](https://tex.z-dn.net/?f=2k%5E2-9k-5%3D%202%28k-5%29%28k%2B%5Cfrac%7B1%7D%7B2%7D%29)
Solving the RHS we get
![\frac{2}{2}(k-5)(2k+1)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B2%7D%28k-5%29%282k%2B1%29)
![(k-5)(2k+1)](https://tex.z-dn.net/?f=%28k-5%29%282k%2B1%29)
Substituting k = x+y
![((x+y)-5)(2(x+y+1)](https://tex.z-dn.net/?f=%28%28x%2By%29-5%29%282%28x%2By%2B1%29)
![((x+y)-5)(2x+2y+1)](https://tex.z-dn.net/?f=%28%28x%2By%29-5%29%282x%2B2y%2B1%29)
Answer:yk i’m looking for the answer too, i can’t find it
Step-by-step explanation:
10. The numbers on the horizontal line would be:
1, 2, 3, 4, 5, 6
11. Count how many of each number there is.
1- 3
2- 4
3- 2
4- 3
5- 2
6- 2
So numbers 1 and 4 will both have 3 dots above them and numbers 3, 5, 6 will have 2 dots above them.