1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pychu [463]
3 years ago
12

On a coordinate plane, a line goes through (negative 3, 2) and (0, 1). A point is at (3, 4).

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0

Answer:

y = 3x - 5

Step-by-step explanation:

Points on given line: (-3, 2), (0, 1)

m1 = slope of given line; m = slope of perpendicular

Slope of given line = m1 = (y2 - y1)/(x2 - x1) = (2 - 1)/(-3 - 0) = 1/(-3) = -1/3

The slopes of perpendicular lines have a product of -1.

m1 * m = -1

-1/3 * m = -1

m = 3

Slope of perpendicular: m = 3

Point on perpendicular: (3, 4)

y - y1 = m(x - x1)

y - 4 = 3(x - 3)

y - 4 = 3x - 9

y = 3x - 5

Answer: y = 3x - 5

You might be interested in
There are premium tickets costing $99 each and rest are regualr tickets costing $25 each. A pile of 120 tickets have a total val
polet [3.4K]

Answer:

There are 38 premium tickets and 82 regular tickets in a pile.

Step-by-step explanation:

Given,

Total number of tickets = 120

Total amount = $5812

Solution,

Let the number of premium tickets be x.

And the number of regular tickets be y.

Total number of tickets is the sum of total number of premium tickets and  total number of regular tickets.

So the equation can be written as;

x+y=120\ \ \ \ \ equation\ 1

Again,total amount  is the sum of total number of premium tickets multiplied by cost of each premium ticket and  total number of regular tickets multiplied by cost of each regular ticket.

So the equation can be written as;

99x+25y=5812\ \ \ \ equation\ 2

Now We will multiply equation 1 by 25 we get;

x+y=120\\25(x+y)=120\times25\\25x+25y= 3000 \ \ \ \ equation\ 3

Now Subtracting equation 3 from equation 2 we get;

(99x+25y)-(25x+25y)=5812-3000\\\\99x+25y-25x-25y=2812\\\\74x=2812\\\\x=\frac{2812}{74}=38

We will now substitute the value of x in equation 1 we get;

x+y=120\\38+y=120\\y=120-38\\y=82

Hence There are 38 premium tickets and 82 regular tickets in a pile.

3 0
3 years ago
A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 5%, what is the total price of the CD, including tax?
dybincka [34]

Answer:

<em>The total price of the CD is $14.18</em>

Step-by-step explanation:

<u>Percentages </u>

We can compute additive or subtractive percentages by using these formulas. If we have a number X and want to increase it by Y%, then the increase is xY/100. Thus the new value for the number is x+xY/100 or equivalently

X(1+Y/100)

If we want to decrease by Z%, the new value is

X(1-Z/100)

The regular price for a CD is X=$15. The CD is Z=10% off, so the sale price is

15(1-10/100)=\$13.5

But we have to add the tax of Y=5%, so the final value is

13.5(1+5/100)=\$14.18

The total price of the CD is $14.18

5 0
3 years ago
How to find the minimum value of an expression
miv72 [106K]
f(x)=9x²+24x+1
f(x)=(3x)²+ 2×3x× 4 + 1
= (3x)²+2×3x×4 +16 -16 +1
=. ( 3x+4)² -15. -------(1)
then (3x+4)² ≥0
least value of (3x+4)² is 0
putting in equation 1
= 0-15 =-15
- 15 is the least value
3 0
3 years ago
4 old friends meet. if each one shakes hands with each other's, how many handshakes are there altogeather?
Anon25 [30]
One person would be shaking 3 other peoples hands. 
So, there's 3 handshakes right there. No you multiply that by 4.
Which is 12. So there are 12 handshakes happening. 

Hope this helps. c:
7 0
3 years ago
Help, please!!! Simplify this expression.<br> -18x(3-4.6)-10x
koban [17]

Answer:

-28x(-1.6)

Step-by-step explanation:

combine like terms: -18x +(-10x)  ---> <u>-28x</u>

                                   3-4.6           ---> <u>-1.6</u>

Combine the leftover terms:

<u>-28x(-1.6)</u>

7 0
3 years ago
Other questions:
  • Simplify the expression.
    8·2 answers
  • Which symbol makes the sentence true?
    13·1 answer
  • If 57.75 is after a 30% taken off then what was the original price
    15·1 answer
  • What is the gcf of 21 30 and 44what is the gcf of 21 , 30 , and 44?
    6·2 answers
  • What is the percent increase from 49.5 to 99
    6·1 answer
  • An elevator travels 310 feet in 10 seconds at that speed how far can this elevator travel
    5·1 answer
  • Use the mean of the values in the table to answer the question...
    6·1 answer
  • Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make th
    12·1 answer
  • What is the mode of 18 4 20 25 20
    9·2 answers
  • Which of the following are side lengths of a right triangle?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!