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finlep [7]
3 years ago
13

Find the equation of the straight line perpendicular to y = -2x + 1

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

y = 1/2x + 1

Step-by-step explanation:

To find a line that is perpendicular to another line, you have to find the negative reciprocal of the slope of the original line, and use that as the slope for the new perpendicular line, and keep all the other values the same:

y = -2x + 1  (-2x is the slope)

1/2x = the negative reciprocal of the original slope (-2x)

y = 1/2x + 1 (new final equation for a perpendicular straight line)

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The data set represents the total number of tickets each person purchased for a play.
Bezzdna [24]

Median: The middle number when all the numbers are listed in order.

First, we would put our numbers in order from least to greatest.

0 - 0 - 1 - 1 - 1 - 2 - 2 - 2 - 4 - 4

Next, we need to find the middle number. When we cross of one number from the left and one number from the right and keep doing this, we come across two numbers that are in the middle. The two numbers that are in the middle are 1 and 2. We find the median by adding 2 and 1 together to get a sum of 3 and then divide it by 2 to get an answer of 1.5

The median of this set of numbers is 1.5

4 0
3 years ago
The sum of 5 consecutive integers is 265. What is the fifth number in this sequence?
son4ous [18]
Five consecutive integers are:

n, n+1, n+2, n+3, n+4  the sum of which is:

5n+10=265  subtract 10 from both sides

5n=255, divide both sides by 5

n=51

Our fifth number was n+4 so the fifth number is 55
3 0
3 years ago
Read 2 more answers
Which of the following graphs represents the solution to the inequality 4x – 12 – x ≥ 3?
zubka84 [21]

Answer:

x≥5

Step-by-step explanation:

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8 0
3 years ago
A chicken recipe calls for 1/4 T of paprika for each 1/2 T of garlic powder. If you use 3/4 T of paprika, how much garlic?
LuckyWell [14K]

Answer:

1 1/2 T garlic

Step-by-step explanation:

You used 3 times as much paprika as the recipe asks for. Therefore, to keep the ratio the same, you also have to multiply the amount of garlic by 3. So, you need 3/2 or 1 1/2 T of garlic.

4 0
3 years ago
Which of the following is equivalent to 6x 2 + x - 12 ?
bagirrra123 [75]
6x^2+x-12=6x^2-9x+8x-12=3x(2x-3)+4(2x-3)\\\\=(2x-3)(3x+4)\\\\other\ method:\\\\6x^2+x-12\\a=6;\ b=1;\ c=-12\\\Delta=b^2-4ac\to\Delta=1^2-4\cdot6\cdot(-12)=1+288=289\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{289}=17

x_1=\frac{-1-17}{2\cdot6}=\frac{-18}{12}=-\frac{3}{2};\ x_2=\frac{-1+17}{2\cdot6}=\frac{16}{12}=\frac{4}{3}\\\\6x^2+x-12=6(x+\frac{3}{2})(x-\frac{4}{3})=2\cdot3(x+\frac{3}{2})(x-\frac{4}{3})\\\\=2(x+\frac{3}{2})\cdot3(x-\frac{4}{3})=(2x+3)(3x-4)
4 0
3 years ago
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