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Stells [14]
3 years ago
8

Equation of perpendicular line: Equation of parallel line:

Mathematics
1 answer:
tamaranim1 [39]3 years ago
8 0

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Hope that was helpful. :)

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78 is what percent of 110
irinina [24]

Answer: 70.909090909091%

Step-by-step explanation: Reading through the problem we have <em>78 is</em>, that's 78 equals, <em>what percent</em>, x/100, <em>of 110</em>, times 110.

It's important to understand that <em>percent</em> means over 100 so what percent would simply mean <em>x/100</em> or any variable but I will be using x.

So we have the equation 78 = \frac{x}{100} *110

So cross canceling the 110 and 100 to 11 and 10, we have 78 = \frac{11x}{10}

Multiply both sides by 10 to get rid

of the fraction and we have 780 = 11x.

Now divide both sides by 11 and 70.909090909091 = x.

So, 78 is 70.909090909091% of 110.

Work is attached in the image provided.

8 0
3 years ago
Using the information in the table, which animal shelter shows that exactly 42% of the total animals are cats? 100 out of 160 42
arlik [135]
Jejsjsjsjdididididirieie 63 is correct answer
6 0
3 years ago
How long does it take a snail to crawl 72 inches?
Lynna [10]
About 5 days and 12hours
7 0
3 years ago
Please help anyone and explain please
umka2103 [35]

So if you distribute 4 in the first parentheses, you get 12x+20y+8z.

Then you distribute 3 in the second parentheses. You'll get 3x-3z. That all equals 12x+20y+8z+3x-3z.

Now you have to start combining numbers with the same variable. Start with x. 12x+3x is 15x.

y has no other common variable, it's left alone.

8z-3z is 5z

All together now with the numbers in simpler form, the equation is 15x+20y+5z

Jenna's would be the right answer because when you distribute 5 in her answer you get 15x+20y+5z

5 0
3 years ago
Read 2 more answers
What would be the function for this?
coldgirl [10]

Answer:

f(x) = 2x + 4

Step-by-step explanation:

This is an arithmetic sequence

y = a1 + (x - 1)d   where a1 = first term and d = common difference  so it is

y = 6 + (x - 1)*2

y = 2x  + 4    answer



7 0
3 years ago
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