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3 years ago

Identify the solution of each equation from the list given.

Mathematics

1 answer:

sp2606 [1]3 years ago

4 0

Answer:

1.) The answer is b = 6

2.) The answer is t = 10

Step-by-step explanation:

For the first equation in order to fin out the answer we do.....

b + 8 = 14

b + 8 - 8 = 14 - 8

b = 6

For the second question we do....

25 - t = 15

25 - t + t = 15 + t

25 = 15 + t

25 - 15 = 15 + t -15

10 = t

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\lim\limits_{x\to 6}~(6)+7=13
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\textit{since the original equation holds for all, }x\ne 6,\textit{ then it approaches}\\
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3 years ago

A fruit shop sells dried fruit by the pound. The cost for x pounds of raisins is represented by the equation y=3.5x, where y is

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3 years ago

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Harlamova29_29 [7]

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Step-by-step explanation:

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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
∴ m = 3 , c₁ = 10 and c₂ = -20
∴ d = $\frac{| 10 - (-20)|}{\sqrt{1 + 3^{2}}}= \framebox{9.5}$

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

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

The distance between the lines

Y₁ = 3/2 x + 3/2 and Y₂ = 3/2 x - 5
∴ m = 3/2 = 1.5 , c₁ = 3/2 = 1.5 and c₂ = -5
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6 0

3 years ago