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zheka24 [161]
3 years ago
7

Write an equation that is parallel to the line y = 3x - 5 and passes through the point (-1, 2)

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Answer:

y=3x+5

Step-by-step explanation:

Find the slope of the original line and use the slope-intercept form

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How to simplify rational expressions
Cerrena [4.2K]
So, what we will do is, multiply both top and bottom, by the conjugate of the denominator, so, the denominator is 7 + 10i, so its conjugate is 7 - 10i then, let's do so.

\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)
\\\\\\
\textit{also recall that }i^2=-1\\\\
-------------------------------\\\\

\bf \cfrac{-3-7i}{7+10i}\cdot \cfrac{7-10i}{7-10i}\implies \cfrac{(-3-7i)(7-10i)}{(7+10i)(7-10i)}\implies \cfrac{(-3-7i)(7-10i)}{7^2-(10i)^2}
\\\\\\
\cfrac{-21+30i-49i+70i^2}{7^2-(10^2i^2)}\implies \cfrac{-21+30i-49i+70\left( \boxed{-1} \right)}{7^2-\left[10^2\left( \boxed{-1} \right)\right]}
\\\\\\
\cfrac{-21+30i-49i-70}{49-(-100)}\implies \cfrac{-91-19i}{149}\implies -\cfrac{91}{149}-\cfrac{19i}{149}
7 0
3 years ago
The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats
vivado [14]
60 cats out of 300 animals is .2 so the percent of cats is 20%
7 0
3 years ago
248 is equal to 65 added to w
AlladinOne [14]

Answer:

248=W+65

Step-by-step explanation:

to find W subtract 65from both sides of the equation to get W=183

4 0
3 years ago
Read 2 more answers
Find the commission on a $750 sale if the commission is 24%
Savatey [412]

Answer:

The commission is $180

Step-by-step explanation:

To find the commission take the total (750) and multiply it by the percentage of commission (.24).

When you do this, you will get $180.

Hope this helps! :)

6 0
3 years ago
An arts academy requires there to be4 teachers for every68 students and3 tutors for every30 students. How many students does the
Murrr4er [49]

Answer:

1.17

2.10

3.7

Step-by-step explanation:

1. 68÷4=17

2. 30÷3=10

3.70÷10=7 ( 10 used from 2.)

6 0
2 years ago
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