First You would divide both numbers by ten to get 15 and 25. Then you realize that both numbers are divisible by 5 so you divide both sides you then end up with 3 to 5 which is your answer.
X² - 3x - 10
x² = x * x
10 can be factored:
1 x 10 ⇒⇒⇒ difference between factors = 9
2 x 5 ⇒⇒⇒ difference between factors = 3 ⇒ (The correct pair)
(x-5)(x+2) = x(x+2) - 5(x+2)
= x² + 2x - 5x - 10
= x² - 3x - 10
∴ x - 5 = 0 ⇒⇒⇒ x = 5
x + 2 = 0 ⇒⇒⇒ x = -2
I have attached <span>algebra tiles for the given equation.</span>
Answer:
The correct option is B. two oxygen atoms
Step-by-step explanation:
The molecular formula for carbon dioxide is given by :

Here, the alphabet C stands for Carbon and the alphabet O stands for Oxygen.
And the prefixes of each of these words represents the number of atoms present of the corresponding element in one molecule of carbon dioxide.
So, The prefix of the first word that is C is 1
⇒ One molecule of carbon dioxide contains one atom of Carbon.
The prefix of the second word that is O is 2
⇒ One molecule of carbon dioxide contains 2 atoms of Oxygen.
Therefore, The correct option is B. two oxygen atoms

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:
| 2 -7 8 -3
<u>1 | 2 -5 3</u>
| 2 -5 3 0
<u> 1 | 2 -3 </u>
2 -3 0
So the factorization is (x-1)² (2x-3)=0. So:


Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:
| 1 -1 0 -4
<u>2 | 2 2 </u>
1 2 2 0
So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.


Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:
| 6 7 9 2
<u>-2 | -12 10 -2</u>
6 -5 1 0
So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:


Answer:

Step-by-step explanation:
PL^2 =7^2 +3^2
PL^2=49+9
PL=
