x² - 2x + 4
x + 2|x³ + 0x² + 0x + 8
x³ + 2x²
-2x² + 0x
-2x² - 4x
4x + 8
4x + 8
0

x³ + 8 = (x + 2)(x² - 2x + 4)
x³ + 8 = (x + 2)(x - 2)(x - 2)
x³ + 8 = (x + 2)(x - 2)²

7 0

4 years ago

Two joggers run 8 miles north and then 5 miles west. What is the shortest

Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

$b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles$

The shortest distance to the starting point is 9.4 miles

4 0

3 years ago

I need help please.

lorasvet [3.4K]

Answer:

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5 0

3 years ago

Pls answer this i want to know ok ok ok ok ok

bogdanovich [222]

Step-by-step explanation:

$given \\ (x + \frac{1}{x} ) = 7 \\ now \\ (x + \frac{1}{x} ) ^{2} \\ (7) ^{2} (given) \\ 49 \\ again \\ {x}^{2} + ( \frac{1}{x} ) ^{2} \\ (x + \frac{1}{x}) ^{2} - 2 \times x \times \frac{1}{x} \\ (7) ^{2} - 2 \\ 49 - 2 \\ 47$

6 0

3 years ago