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3 years ago

Will mark as brainiest answer!!!!! Please show work as to how you found the answer

Mathematics

1 answer:

Alchen [17]3 years ago

5 0

(2,8) and (-2,10)

y₂ - y₁ used to find the slope
x₂ - x₁

plug in the coordinates
10-8 = 2 all equals -1/2
-2-2 = -4 m=-1/2

plug one of the coordinates and the slope into y=mx+b, and solve
8=-1/2(2)+b
8=-1+b
9=b

Final Answer: y = -1/2x + 9

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A fair die is rolled four times. Find the probability that all four rolls show different numbers

tensa zangetsu [6.8K]

Number of such outcomes, in which each number is no less than the preceding number, will be equal to number of ways of selecting 4 numbers from 6, with replacement; without considering order!

Why?

Lets choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get a sequence {1,1,2,3} which is one of our desired outcomes. So each such sorted sequence corresponds to one selection of size 4, with replacement and without considering order.

Number of such selections will be equal to number of solutions of following equation:

x1 + x2 + x3 + x4 + x5 + x6 = 4

where:

x1: number of 1 in the selections

x2: number of 2s in the selection

x6: number of 6s in the selection

Number unique solutions of such equation = 9 choose 5 = 126

(For more details on this see : Unordered sampling with replacement )

Number of possible outcomes = 6^4 = 1296

Probability of favorable outcomes = 126/1296=7/72

4 0

3 years ago

Read 2 more answers

An arithmetic sequence is represented by the recursive formula a1=17an=an−1−8 . What is the fourth term in the sequence? a4=−4 a

user100 [1]

Answer:

a₄ = - 15

Step-by-step explanation:

Using the recursive formula and a₁ = 17 , then

a₂ = a₁ - 8 = 17 - 8 = 9

a₃ = a₂ - 8 = 9 - 8 = 1

a₃ = a₂ - 8 = 1 - 8 = - 7

a₄ = a₃ - 8 = - 7 - 8 = - 15

4 0

3 years ago

I need help please....

Semmy [17]

Answer:x=-7

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What are the answers for 7 and 8??? please help

wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit$

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit$

Therefore SU is 98 unit.

5 0

3 years ago

Guess the riddle!!!!

Nataly [62]

10 animals would be going to the river

3 0

3 years ago

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