Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
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(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.
<h3>What is the Law of Sines?</h3>
The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.
Given the following:
- H = the length of the tree = ? (b)
- Let sin A = 30°
- a = 25
- Sin B = 65°
Apply the law of sines
sin 30/25 = sin 65/H
H = (sin 65 × 25)/sin 30
H ≈ 45 ft.
Learn more about the law of sines on:
brainly.com/question/2807639
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1. 3^3 = 27, 27 x 270 = 7,290m^3
2. original volume = 8 x 6 = 48 cm^3
new volume = 48 x (5/4)^3 = 93.75 cm^3
Answer:
8 + 32v
Step-by-step explanation: