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3 years ago

Quiz 3

Mathematics

2 answers:

Colt1911 [192]3 years ago

3 0

Kevin would be 24 because 4 times 6 equal to 24

Igoryamba3 years ago

3 0

Answer:

Step-by-step explanation:

Let the age of Daniel be X and Kelvin be Y

Now, According to the question,

Y= 4×X................equation I

Also,Y= X+6.................equation II

Finally, Equating both equations, we get

X+6= 4X

or, 6=3X

or, X=2

Now Y= 4×X

= 4×2

= 8

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3 years ago

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3 years ago

Find the distance between the lines Y=3x+10 Y=3x-20 AND Y=3/2x+3/2 Y=3/2x-5

rosijanka [135]

At first we need to know how to find the distance between two parallel lines
The parallel lines which have the same slope
If we have two parallel lines ⇒ y₁ = mx + c₁ and y₂ = mx + c₂
So, the distance between y₁ and y₂ = d = $\frac{|c_{1} - c_{2}|}{\sqrt{1 + m^{2}}}$
========================================================

Part (1):
=======

The distance between the lines

 Y₁ = 3x + 10 and Y₂ = 3x - 20
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∴ d = $\frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}$

========================================================

Part (2):
=======

The distance between the lines

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∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
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3 years ago