Which choice could be the equation of a line parallel to the line represented by this equation y=2x-3

Mathematics

2 answers:

Finger [1]3 years ago

7 0

B) y=2x+7
lines with the same slope are parallel lines

MaRussiya [10]3 years ago

5 0

Answer:

B y=2x+7

Step-by-step explanation:

A first order function, also called a line, has the following format:

$y = ax + b$

In which a is the angular coefficient and b is the linear coefficient.

Lines are said to be parallel if they have the same angular coefficient.

In this problem, we have that:

$y = 2x - 3$

This line has an angular coefficient of 2.

So, a parallel line to this line will have an angular coefficient of 2.

The correct answer is:

B y=2x+7

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The given equations below are parallel perpendicular or neither

pentagon [3]

Answer:

Parallel

Step-by-step explanation:

Both slopes are the same. m = m

3 0

3 years ago

Read 2 more answers

1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$