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Zina [86]
3 years ago
15

What is the equation of the line that passes through the point (-3, 0) and has a slope of -1/3?​

Mathematics
1 answer:
ANTONII [103]3 years ago
5 0

Answer:

Y=-1/3x-1

Step-by-step explanation:

Y-0=-1/3(x+3)

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In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each even
murzikaleks [220]

The figure depicting the board game is attached below.

Answer:

Step-by-step explanation:

Kindly note that selections done without replacement.

Count of numbers on the board game = 8

Count of odd numbers = (1, 9, 1) = 3

Count of digit 6 = 3

Probability = required outcome / Total possible outcomes

P(picking an odd number) = 3 / 8

Without replacement

Numbers left on board game = 8 - 1 = 7

P(picking a 6) = 3 / 7

Hence,

P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56

7 0
3 years ago
One quarter of a certain number added to one eighth of the same number is 12. What is the number​
alexdok [17]

Answer:

32

Step-by-step explanation:

let the number be n , then

\frac{1}{4} n + \frac{1}{8} n = 12 ( multiply through by 8 to clear the fractions )

2n + n = 96

3n = 96 ( divide both sides by 3 )

n = 32

The number is 32

6 0
3 years ago
Find the zeros of the function. Enter the solutions from least to greatest.<br> f(x) = (x - 8)^2 - 9
Daniel [21]

Answer:

Step-by-step explanation:

The zeros of the function can be found by factoring. Since this has already been started with completing the square, we will just pick up from where it was left and finish factoring. Set the quadratic equal to 0 first.

(x-8)^2-9=0 then move over the 9:

(x-8)^2=9 "undo" the squaring by square rooting both sides to get

x - 8 = ±3. And then add over the 8 to get the solutions

x = 8 + 3 and x = 8 - 3. The solutions, then, are

x = 5 and x = 11

8 0
3 years ago
Read 2 more answers
The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find th
DaniilM [7]

Answer:

8

Step-by-step explanation:

x = centesimal angle (100 degrees in a right angle)

y = sexagesimal angle (90 degrees in a right angle)

x - y = 15

x×90/100 = y

x×9/10 = y

x - x×9/10 = 15

10x/10 - 9x/10 = 15

x/10 = 15

x = 150

y = 150×9/10 = 15×9 = 135

using centesimal system :

the sum of all external angles in a polygon is 400 degrees (a full circle).

one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.

to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.

n = 400/50 = 8

the polygon has 8 sides

3 0
3 years ago
What division sentence means the same asa the following subtraction sentences?
likoan [24]
The three subtraction sentences 12-4=8, 8-4=4, and 4-4=0 can be expressed as a single division sentence. The division sentence 12/4 = 3 means that, starting with the number 12,  4 can be subtracted 3 times to get zero. 
Division is repeated subtraction   12 / 4   means how many 4's you can subtract from 12.     12 orange split into units of 4, then how many kids can get 4 oranges       12 -  4 = 8   1st kid        8 -4 = 4    2nd kid        4 - 4  = 0     3rd kid         So 3 kid can get 4 oranges each.         If we multiply  3 * 4 =12          if each 3 kids get each 4 oranges , then what was the total oranges distributed among kids          Now we say that Multiplication is repeated addition.         4 * 3 = 12,  4 + 4 + 4 = 12          Further we can say that Multiplication and division is opposite of each other             Like  2 * 3 = 6       6/3 = 2    6/ 2 =3 , Also division and fractions are the same, and symbols                                                                      can be used interchangeably. 
6 0
3 years ago
Read 2 more answers
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