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 = - ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
2x - 9 = 0 ⇒ 2x = 9 ⇒ x = ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
To the nearest thousand, because when you are estimating numbers, you always round to the nearest higher place (like the nearest tenth if comparing 26 and 18).
Answer:
7. RHS
8.RHS
9.SAS
10.SAS
11.RHS
12.ASA
Step-by-step explanation:
There are <u><em>6.4008 </em></u><u><em /></u><em /><u><em>meters</em></u> in <u><em>21 feet</em></u>
If you need more help I will be glad to help:D
*~"AB84"~*
Answer: 8 pints
Step-by-step explanation:
Multiply the volume value by 2, so, 4 quarts = 8 pints