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3 years ago

A line contains the point ( 3, 4). If the slope of the line is -2/3write the equation of the line using slope-intercept form.

1 answer:

7 0

You use point-slope form, which is y-y1=m(x-x1) , so it becomes
y-4=(-2/3)(x-3).
You can make it 3y-12=-2x+6.
Add 12 to both sides to make it 3y=-2x+18.
Lastly, divide everything by 3, so it becomes y=-2/3x+6.

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19. Determine the number of five-letter code words that can be formed from the word mommy.

bija089 [108]

Answer:

20 unique words

Step-by-step explanation:

mommy is a 5 letter word. So initially we would think there are 5! = 120 words to spell from here. however, If we are looking for unique solutions, we need to consider that there are 3 m's. the multinomial theorem says that we should divide by each group of duplicates so 5!/(3!1!1!) = 5!/3! = 20 unique words

7 0

3 years ago

Which best describes the dimensions of a plane?

n200080 [17]

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

6 0

3 years ago

Read 2 more answers

From 10:00 am to noon, the rise in temperature is 4 degrees C, and from 3:00 pm to 5:00 pm, the fall in temperature is 6 degrees

lyudmila [28]

Answer:

(a) 2 degree celsius per hour

(b) 3 degree celsius per hour.

Step-by-step explanation:

From the question,

(a) Avearge rate of rise in temperature per hour(T') = Rise in temperature(T)/Time required for the rise(t).

T' = T/t.................... Euqation 1

Rise in temperature (T) = 4 degree celsius, t = 10.00 am to noon = 2 hours.

Substitute into equation 1

T' = 4/2

T' = 2 degree celsius per hour.

(b) Also,

Average rate of fall in temperature per hour (T') = Fall in temperature (T)/Time(t)

T' = T/t

Given: T = 6 degree celsius, t = 3:00 pm to 5:00 pm = 2 hours

T' = 6/2

T' = 3 degree celsius per hour

3 0

3 years ago

Police use the formula please help

icang [17]

What grade are you in I can try to help but this looks difficult can you try to explain it for me

6 0

2 years ago

Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negati

IceJOKER [234]

Answer:

The correct option is;

A table with 6 columns and 2 rows. The first row, x, has entries, negative 3, negative 1, 2, 5, 10. The second row, y, has entries, negative 7.5, negative 2.5, 5.0, 12.5, 25

Please find attached the graphs of the table data

Step-by-step explanation:

Each of the given table data of in the tables are analysed to find direct variation;

Table 1

x, -3, -1, 2, 5, 10

y, -4.5, -3.0, -1.5, 0.0, 1.5

-4.5/-3 = 1.5 ≠ -3.0/-1 = 3

No direct variation

Table 2

x, -5.5, -4.5, -3.5, -2.5, -1.5

y, 10, 8, 6, 4, 2

10/(-5.5) = -20/11 ≠ 8/(-4.5) = -16/9

However, 10/(-5.5 + 0.5) = -2 = 8/(-4.5 + 0.5) = -2

Adjusted direct variation

Table 3

x, -5.5, -5.5, -5.5, -5.5, -5.5

y, -3, -1, 2, 5 , 10

-3/(-5.5) ≠ -1/-5.5

No direct variation

Table 4

x, -3, -1, 2, 5, 10

y, -7.5, -2.5, 5.0 , 12.5, 25

-7.5/-3 = 2.5 = -2.5/(-1) = 5.0/2 = 12.5/5 =25/10

Direct variation exists

8 0

3 years ago

Read 2 more answers