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3 years ago

Find the solution to the following equations below

Mathematics

1 answer:

zvonat [6]3 years ago

8 0

Answer: A. infinite solutions

B. no solution

C. one solution

Step-by-step explanation:

A. firstly we distribute: -2x-6=-2x-6

since they are the same it is infinite solutions.

B. firstly we distribute: 4x-4=1/2x-4

=2x=0

x=0

C. 3x-7=10+4x

x=17

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3 years ago

How many 4 digit multiples can not be divided by 5

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Answer:

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Step-by-step explanation:

Let us solve this question by Modular Airthmatic.

Let the lowest 4 digit number be X.

X= 1 (mod 5)

X =2 (mod 5)

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X =4 (mod 5)

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25 is Modular Inverse of Modulo 5

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X becomes 6 +25 (2+5 v)=56+125 v .

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125 is Modular Inverse of modulo 5

v = 3 (mod 5)

v =3 +5 w where w is any integer.

For lowest 4 digit number, take

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Take w=201

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The distance between the point (3, 5) and a line with the equation 5x – 3y + 10 = 0 will be 10 / √(34) units.

<h3>What is the distance between a point and a line?</h3>

Let (x₁, y₁) be the point and ax + by + c = 0 be the line.

Then the distance between a point and a line will be

$\rm d = \dfrac{|ax_1 + by_1 + c|}{\sqrt{a^2 + b^2}}$

The point (3, 5) and a line with the equation 5x – 3y + 10 = 0.

Then the distance between them will be

$\rm d = \dfrac{|5 *3 - 3 *5 + 10|}{\sqrt{5^2 + (-3)^2}}\\d = \dfrac{10 }{\sqrt{34}} \ units$

Learn more about the distance between a point and a line here;

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