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3 years ago

What are the vertical asymptote(s) and hole(s) for the graph of y= x-1 over X squared + 6x+ 8

Mathematics

1 answer:

san4es73 [151]3 years ago

3 0

Answer:

You have vertical asymptotes on x=-4,-2

Step-by-step explanation:

This question is very simple. Since you have a denominator all you need to do is factor the bottom and find the zeros. When you factor the bottom of the equation you should get (x+4)(x+2). Now you have to set the bottom equal to zero to find the zeros. This means (x+4)=0 and (x+2)=0 So you get two answers x=-4 and x=-2 Therefore your two vertical asymptotes are on x-4,-2

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Find the distance from point A to the given line:<br> A(-1, 7), y=3x<br><br> How do I solve this?

kipiarov [429]

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

$d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}$

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

$d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}$

<h3>Answer: d = √10</h3>

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2 years ago

Manny bought 12 pounds of vegetables

finlep [7]

Answer:

Manny bought 3 pounds that were not on sale

Step-by-step explanation:

If 75 % were on sale, (100% -75% = 25%) then 25% were not on sale (The total has to be 100%)

Manny bought 12 pounds of vegetables

To determine how many pounds were not on sale, we take the amount of vegetables purchased and multiply by the percent that were not on sale.

12 * 25%

Change this to decimal form

12 *.25

Manny bought 3 pounds that were not on sale

7 0

2 years ago

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Arnold and jamie are both performing the same experiment. Arnold does 20 trials and gets 7 positive results. Jamie does 10 trial

Gnoma [55]

Answer:

Step-by-step explanation:

This is all 1/3 of the number of times the experiment was tried to put in perspective john has 10 apples and he gives 3 away that's about 1/3 of the amount of apples

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1 year ago

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i think it will make it smaller due to the base being longer which stretches out the two sides and makes less space inside of the triangle

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2 years ago

51 dollars is 75 percent of the original price. what is the original price?

makvit [3.9K]

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2 years ago