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lorasvet [3.4K]
3 years ago
15

Which equations below represent lines that are perpendicular to the line that contains (1, -2) and (3, 4)? (CHECK PICS FOR ANSWE

R CHOICES, CHOOSE MORE THAN ONE IF NECESSARY)

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

First, let's find the slope of the line from the points given.

m = (4 - - 2) / (3 - 1)

m = 6 / 2

m = 3

Secondly, we know that a line perpendicular to the original must have a slope that is the opposite reciprocal of the original. For the given points, the opposite reciprocal slope would be -1/3.

Now, we can put all of the equations below into slope intercept form and find the ones that have a slope of -1/3.

Equation 1: Correct

y = -1/3x - 5

Equation 2: Incorrect

y = 3x - 3

Equation 3: Incorrect

y - 2 = 3(x + 1)

y - 2 = 3x + 1

y = 3x + 2

Equation 4: Correct

x + 3y = 9

3y = -x + 9

y = -1/3x + 3

Equation 5: Incorrect

3x + y = -5

y = -3x - 5

Hope this helps!! :)

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gulaghasi [49]
Let's find out how much she spent every month.

4000 (starting money) - 2800 (remaining money) = 1200 spent over 3 months

1200/3 = 400 per month was spent

So if she continues to spend 400 a month?

How many months are left? 12 (months of the year) - 3 (months she already spent) = 9

So 9 (remaining months) * 400 (amt per month) = 3600 she'll spend at the going rate over 9 months.

But she only has 2800 left.

2800 (remaining) - 3600 (estimated total of spending) = -800

So she will be 800$ in debt at the end of the year at the current rate.
3 0
3 years ago
Jim has $4,200 in his checking account to pay his rent. Each month, $600 is taken out of the account
Allushta [10]

Answer:4200-600m=1800

Step-by-step explanation:

4200-600m=1800

Subtract 4200 from 1800

-600m=-3600

Divide both sides by -600

m=6

5 0
3 years ago
I’m not sure how to do this can anyone help!!!!!
satela [25.4K]

9514 1404 393

Answer:

  22/44

Step-by-step explanation:

The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...

  P(black) = (black cards)/(total cards)

  P(black) = 22/44

_____

You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.

7 0
3 years ago
Determine the measure of ∠θ using a trigonometric ratio. ANSWERS: A) 45.10° B) 1.00° C) 12.54° D) 17.38°
Levart [38]

Answer:

A

Step-by-step explanation:

angle A is 90 and c and b have to be equal

4 0
3 years ago
A music website tracked the number of new users per day over 1 week. The number of new users for each day of the 7 days was 38,
enyata [817]
Part a)

MAD = median of absolute deviations

MAD = median of the set formed by : |each value - Median|

Then, first you have to find the median of the original set

The original set is (<span>38, 43, 45, 50, 51, 56, 67)


The median is the value of the middle (when the set is sorte). This is 50.


Now calculate the absolute deviation of each data from the median of the data.

1) |38 - 50| = 12
2) |43 - 50| = 7
3) |45 - 50| = 5
4) |50 - 50| = 0
5) |51 - 50| = 1
6) |56 - 50| = 6
7) |67 - 50| = 17

Now arrange the asolute deviations in order

(0, 1, 5, 6, 7, 12, 17)

The median is the value of the middle: 6.

Then the MAD is 6.

Part b) MAD represents the median of the of the absolute deviations from the median of the data.


</span> 
3 0
3 years ago
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