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3 years ago

QUESTION THREE 30 MARKS3a) multiply x + y by x - y

Mathematics

2 answers:

Rainbow [258]3 years ago

6 0

Answer:

x²+xy+yx-y²

Step-by-step explanation:

(x+y)(x-y)

x times x =x²

x times y= xy

y times x=yx

y times y=y²

Fudgin [204]3 years ago

6 0

Step-by-step explanation:

It's x*x+x*y-x*y-y*y => x^2 +xy - xy- y^2 = x^2-y^2

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The distance between City A and City B is 250 miles. A length of 2.1 feet represents this distance on a certain wall map. City C

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Two boats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads

Maksim231197 [3]

Answer:

18.87 km/hr

Step-by-step explanation:

First boat is heading North with a speed of 10 km/hr.

Second boat is heading West with a speed of 16 km/hr.

Time for which they move = 2.5 hours

To find:

The speed at which the distance is increasing between the two boats.

Solution:

Let the situation be represented by the attached diagram.

Their initial position is represented by point O from where they move towards point A and point B respectively.

$Distance = Speed \times Time$

$Distance\ OA = 10 \times 2.5 = 25\ km$

$Distance\ OB = 16 \times 2.5 = 40\ km$

We can use Pythagorean Theorem to find the distance AB.

AB is the hypotenuse of the right angled $\triangle AOB$ .

According to Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow AB^{2} = OA^{2} + OB^{2}\\\Rightarrow AB^2 = 25^2 + 40^2\\\Rightarrow AB^2 = 2225^2\\\Rightarrow AB^2 \approx 47.17\ km$