Answer:
-0.25 or 1/4
Step-by-step explanation:
Eh just know
6 because 45 divides by 3 equals 15 and fifteen minus 9 equals 6, if you plug 6 into the equation it makes sense
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 = 
In the proportion 4:16 = x:32. The answer is 8
<h3>
Answer: 580 square cm</h3>
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Work Shown:
A = area of smaller rectangle
A = length*width
A = 35*22
A = 770
B = area of larger rectangle
B = length*width
B = 45*30
B = 1350
C = area of the border only
C = B - A
C = 1350-770
C = 580 square cm