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NemiM [27]
3 years ago
6

Write the slop intercept form of the equations below.

Mathematics
2 answers:
Yanka [14]3 years ago
5 0

Step-by-step explanation:

<u>Given</u><u> </u><u>:</u><u>-</u>

  • 1. slope= 1/4,y intercept = 4
  • 2. y-5=-4(x+1)

And we need to find the slope intercept form of the line . The slope intercept form of a line is y = mx + c , where m is the slope and c is the y intercept. Substitute respective values ,

<u>Solution</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies y = mx + c

:\implies y = 1/4 x + 4

:\implies 4y = x + 16

:\implies x - 4y + 16 = 0

<u>Solution</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>

:\implies y - 5 = -4( x +1)

:\implies y -5 = -4x -4

:\implies y = -4x +1

ohaa [14]3 years ago
4 0
1 is y=1/4x+4
2 is y=x+1
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Answer:

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2x/2 = 12/2

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The measure of angle O is 7pi/6. The measure of its reference angle is.... ° and sin O is .....
scoray [572]
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6 0
3 years ago
Suppose you roll a fair six-sided die. Then you roll a fair eight-sided die. Match each probability to its correct value.
Anna35 [415]

Answer:

A) matches \frac{5}{48}

B) matches \frac{1}{12}

C) matches \frac{1}{4}

D) matches \frac{1}{8}

E) matches \frac{5}{16}

Step-by-step explanation:

The sample space for the roll of six sided die and eight sided die:

(1,1),  (1,2),  (1,3),  (1,4),  (1,5),  (1,6),  (1,7),  (1,8)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

Therefore, the total number of outcomes (Sample space) = 48

Probability  =\frac{Number Of Ways Event Can Occur}{Sample Space}

A) The possible ways of obtaining both numbers are odd numbers and their product is greater than 10 are: (3,5), (3,7), (5,3), (5,5), (5,7)

Total number of possible ways = 5

Sample space = 48

The probability that both numbers are odd numbers and their product is greater than 10:

                                 =\frac{5}{48}

B) The possible ways of obtaining second number is twice the first number are: (1,2), (2,4), (3,6), (4,8)

Total number of possible ways = 4

Sample space = 48

The probability that the second number is twice the first number:                  

                       =\frac{4}{48}  =\frac{1}{12}

C) The possible ways of getting numbers whose sum is a multiple of 4 are: (1,3), (1,7), (2,2), (2,6), (3,1), (3,5), (4,4), (4,8), (5,3), (5,7), (6,2), (6,6)

Total number of possible ways = 12

Sample space = 48

The probability of getting numbers whose sum is a multiple of 4:

                       =\frac{12}{48}  =\frac{1}{4}

D) The possible ways of getting the sum of the two numbers is greater than 11 are: (4,8), (5,7), (5,8), (6,6), (6,7), (6,8)

Total number of possible ways = 6

Sample space = 48

the probability that the sum of the two numbers is greater than 11:

                      =\frac{6}{48}  =\frac{1}{8}

E) The possible ways of getting the second number rolled is less than the first number are: (1,2), (1,3), (1,4), (1,5), (1,6), (2,3), (2,4), (2,5), (2,6), (3,4), (3,5), (3,6), (4,5), (4,6), (5,6)

Total number of possible ways = 15

Sample space = 48

The probability that the second number rolled is less than the first number:

                 =\frac{15}{48}  =\frac{5}{16}

                 

5 0
2 years ago
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