Answer: (x−2)(x−2)
The middle number is -4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -4
Multiply together to get 4
Can you think of the two numbers?
Try -2 and -2:
-2+-2 = -4
-2*-2 = 4
Fill in the blanks in
(x+_)(x+_)
with -2 and -2 to get...
(x-2)(x-2)
Answer:
(x−2)(x−2)
so the answer is D.
Answer:
The given point A (6,13) lies on the equation. True
The given point B(21,33) lies on the equation. True
The given point C (99, 137) lies on the equation. True
Step-by-step explanation:
Here, the given equation is : ![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (6) + 5 = 4(2) + 5 = 8 + 5 = 13](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%286%29%20%2B%205%20%20%3D%204%282%29%20%2B%205%20%20%3D%208%20%2B%205%20%3D%20%2013)
⇒ y= 13
Hence, the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (21) + 5 = 4(7) + 5 = 28 + 5 = 33](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2821%29%20%2B%205%20%20%3D%204%287%29%20%2B%205%20%20%3D%2028%20%2B%205%20%3D%20%2033)
⇒ y = 33
Hence, the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation![y =\frac{4}{3} x + 5](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20x%20%2B%205)
![y =\frac{4}{3} (99) + 5 = 4(33) + 5 = 132 + 5 = 137](https://tex.z-dn.net/?f=y%20%3D%5Cfrac%7B4%7D%7B3%7D%20%2899%29%20%2B%205%20%20%3D%204%2833%29%20%2B%205%20%20%3D%20132%20%2B%205%20%3D%20%20137)
⇒ y = 137
Hence, the given point C (99, 137) lies on the equation.
That would be <span>1/858</span> for jack, queen, or king of those 13 cards.