Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
Answer:
1. Equation is x - 5 = 8
x = 13
2. Equation is 4x - 4 = 10
x = 3.5
3. Equation is x/4 = 8
x = 32
4. Equation is 5x = 10
x = 2
5. Equation is x - 5 / 2 = 14
x = 33
6. Equation is 4x / 5 = 10
x = 12.5
7. Equation is 2x - 10 = 8
x = 9
8. Equation is 3x + 6 / 3 = 10
x = 8
9. Equation x + 8 / 4 = 14
x = 48
Answer:
Yes, they are congruent by either ASA or AAS.
Step-by-step explanation:
google lol
Answer:

Step-by-step explanation:
We can use substitution to find the value of
:




Hope this helps :)
We are asked to find unknown or the missing number to complete the polynomial given in the problem which is x² + ?x -49. First, let us equate the number to be equal to zero such as it would become x² + ?x - 49 = 0. Next, we need to find the factors such that it would produce a difference of squares and these two factors are a = +7 and b = -7. Hence, the complete solution is shown below:
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
x² + 0x - 49 = 0
Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.