Factor 12x-40 using the gcf
1 answer:
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Answer:
49π and 153.86 when multiplyed by 3.14.
Step-by-step explanation:
Hi!
The formula for finding the area of a circle is πr².
In that case, all we have to do is substitute 7 inches for our r.
7² × π
= 49π
If you want that solved out, we can substitute a rational number for π (3.14)
49 × 3.14 = 153.86
Thus, the area of the circle is , 153.86 roughly.
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Given
x² - 3x - 40 = 0
Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)
The factors are - 8 and + 5, since
- 8 × 5 = - 40 and - 8 + 5 = - 3, thus
(x - 8)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 8 = 0 ⇒ x = 8
x + 5 = 0 ⇒ x = 5
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Given
4x² - 81 = 0 ← this is a difference of squares and factors in general as
a² - b² = (a + b)(a - b), thus
4x² - 81
=(2x)² - 9²
= (2x + 9)(2x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = -
2x - 9 = 0 ⇒ 2x = 9 ⇒ x =