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2 years ago

What is the equation of a line that contains the point (2,1) and is perpendicular to the line: y = 3x – 4?

1 answer:

8 0

Y = 3x - 4.....the slope here is 3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, u flip the slope and change the sign. So we will need a slope of -1/3...see how I flipped the slope of 3/1 and made it 1/3...and then changed the sign, making it -1/3.

y = mx + b
slope(m) = -1/3
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = -1/3(2) + b
1 = -2/3 + b
1 + 2/3 = b
3/3 + 2/3 = b
5/3 = b

so ur perpendicular equation is : y = -1/3x + 5/3

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Another math question I couldn't figure out.

Grace [21]

I believe the answer is 764.90. 3% of 700 is 21, then add that to 700- have three percent of that- add it to the 721, find 3% of that, then three percent of that then add that to 700 :)

7 0

3 years ago

A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a r

guapka [62]

This problem can be solved through simple arithmetic progression

Let

a1 = the first term of the sequence

a(n) = the nth term of the sequence

n = number of terms

d = common difference

Sn = sum of all terms

given

a1 = 12

a2 = 16

n = 10

d = 16 -12 = 4

@n = 10

a(n) = a1 + (n-1)d

a(10) = 12 + (9)4

a(10) = 48 seats

Sn = (n/2) * (a1 + a(10))

Sn = 5* (12 + 48)

Sn = 300 seats

Therefore the total number of seats is 300.

4 0

3 years ago

Karen purchased the DVD

9966 [12]

Answer:

Percent markdown = 14%

Step-by-step explanation:

Given:

Original price of DVD player = $175.90

Markdown price of DVD player =$153.77

To find percent markdown.

Amount of mark down $=\textrm{Original price - Markdown price}=\$175.90-\$153.77=\$22.13$

Percent markdown $=\frac{Amount\ of\ markdown}{Markdown\ price}\times100=\frac{22.13}{153.77}\times 100=14.39\%\approx 14\%$

4 0

3 years ago

Simplify 1+tan^2 x / tan^2 x a) sin^2 x b) csc^2 x c) sec^2 x d) cos^2 x

rodikova [14]

Answer:

cosec²x is the answer

Step-by-step explanation:

$\frac{1+tan^2x}{tan^2x} \\\\\frac{sec^2x}{tan^2x} \\\\\frac{\frac{1}{cos^2x} }{\frac{sin^2x}{cos^2x} }\\\\\frac{1}{sin^2x}\\\\cosec^2x$

5 0

2 years ago

Find the range of the data set 7,510,9,15,12,6,9,7,10

Blizzard [7]

Answer: 10

Step-by-step explanation:

So to find range you take the highest number and subtract it by the lowest

3 0

2 years ago

Read 2 more answers