(x+5)(x-5)
= x^2 - 5x + 5x - 25
= x^2 - 25
(5x+3)(5x-3)
= 25x^2 - 15x + 15x - 9
= 25x^2 - 9
do you see the pattern? both the coefficient on x and constant multiply together to make a perfect square and the middle term, also known as "b" term cancels out leaving a binomial
<span>2x + y - 10 = 0
x - y - 4 = 0
------------add
3x - 14 =0
3x = 14
x = 14/3
</span>x - y - 4 = 0
14/3 - y - 4 = 0
y = 14/3 - 4
y = 4 2/3 - 4
y = 2/3
answer
y = 2/3
hope it helps
Answer:
8/15
Step-by-step explanation:
The balls are numbered 3 through 17, so there are 17 − 3 + 1 = 15 balls. 8 of them are odd and 7 of them are even.
So the probability of an odd numbered ball (which includes the number 11 ball) is 8/15.
Step-by-step explanation:
Pears manu have = 16
After sten gives = 16 + 10 = 26
Then manu gave to Klara = 26 - 8 = 18
The answer is 18
Manu have 18 Pears left
Answer:
p = 4.0
q = 2.0
angle <P = 64 degrees
Step-by-step explanation:
We can use the definition of cosine to find the value of side p (the adjacent side to the 26 degree angle, via the formula:
![cos(26^o)= \frac{adjacent}{hypotenuse} \\cos(26^o)= \frac{p}{4.5}\\p= 4.5 *cos(26^o)\\p=4.0445](https://tex.z-dn.net/?f=cos%2826%5Eo%29%3D%20%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5Ccos%2826%5Eo%29%3D%20%5Cfrac%7Bp%7D%7B4.5%7D%5C%5Cp%3D%204.5%20%2Acos%2826%5Eo%29%5C%5Cp%3D4.0445)
which rounded to the nearest tenth gives : p = 4.0
Now we use the sine function to help us determine side q:
![sin(26^o)= \frac{opposite}{hypotenuse} \\sin(26^o)= \frac{q}{4.5}\\q= 4.5 *sin(26^o)\\q=1.9726](https://tex.z-dn.net/?f=sin%2826%5Eo%29%3D%20%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%5C%5Csin%2826%5Eo%29%3D%20%5Cfrac%7Bq%7D%7B4.5%7D%5C%5Cq%3D%204.5%20%2Asin%2826%5Eo%29%5C%5Cq%3D1.9726)
which rounded to the nearest tenth gives:
q = 2.0
Finally, we determine the measure of angle P using the fact that the addition of all internal angles of a triangle must add to 180 degrees:
< P + < Q + < R = 180
< P + 26 + 90 = 180
< P = 180 - 26 - 90
< P = 64 degrees