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igomit [66]
3 years ago
5

Y-3=3(x+1)

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer: x + 3y = 2

Step-by-step explanation:

Given:

y - 3 = 3 ( x + 1 )

y - 3 = 3x + 3

y = 3x + 3 + 3

y = 3x +6

comparing the equation with the formula for finding equation of line in slope - intercept form

y = mx + c , where m is the slope and c  is the y - intercept. This means that the slope of the line above is 3

Two lines are said to be perpendicular if the product of their slope = -1, that is , if m_{1} is the slope of the first line and m_{2} is the slope of the second line , if they are perpendicular , then m_{1}m_{2} = -1

Considering this rule , this means that the slope of the line we are to find = \frac{-1}{3}

Using the formula : y - y_{1} = m ( x - x_{1} ) to find the equation of the line , we have

y - (-1 ) = \frac{-1}{3} ( x - 5 )

y + 1 = \frac{-1}{3} ( x - 5 )

multiplying through by 3 , we have

3 ( y + 1 ) = -1 ( x - 5)

Expanding , we have

3y + 3 = -x + 5

writing the equation in standard form , we have

3y + x = 5 - 3

Therefore :

x + 3y = 2

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Mg+rg=2H, solve for g
lesantik [10]

Answer:

g = 2H/(m + r)

Step-by-step explanation:

mg + rg = 2H

g(m + r) = 2H

(g(m + r))/(m + r) = 2H/(m + r)

g = 2H/(m + r)

3 0
3 years ago
A phone sells for $700. It is now on sale for 1/5 off the
Leona [35]

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5 0
2 years ago
How can you determine if you need to use a combination or permutation to count the number of outcomes? Which will usually have m
Nadya [2.5K]

Answer with Step-by-step explanation:

Permutation : It is an arrangement of r elements out of n elements.

Combination : it is a selection of r element out of n elements .

Suppose we have a set

S={1,2,3}

If two elements are taken at a time then

Using permutation formula

Total number of outcomes=3P_2

Total number of outcomes=\frac{3!}{(3-2)!}

Total number of outcomes=3!=3\times 2\times1=6

Using combination formula

\binom{n}{r}=\frac{n!}{r!(n-r)!}

Total number of outcomes=\binom{3}{2}=\frac{3!}{2!1!}

Total number of outcomes=\frac{3\times2!}{2!}

Hence, total number of outcomes=3

Total number of outcomes determined by permutation have more outcomes.

Because permutation is an arrangement of elements  therefore, it consider order of arrangement of element   but combination is a selection of elements it does no consider order of elements

Arrangements of two elements out of 3 elements

{1,2},{2,3},{2,1},{3,2},{1,3},{3,1}

By using combination if two elements taken at a time then combination

{1,2},{2,3},{1,3}

4 0
3 years ago
If you are traveling 543 miles and you know that your car gets 18 miles per gallon of gasoline, approximately how many gallons o
Inga [223]

we know that

the car gets 18 miles per -----------> 1 gallon of gasoline

so

for 543 miles ---------------------> x gallons of gasoline


by proportion

543/18=x/1---------->x=543/18------->x=30.17 gallons


therefore


the answer is

30.17 gallons

6 0
3 years ago
Determine the # of X intercepts from this equation F(x)=x^2+5x+4 ?
k0ka [10]
There are 2 x intercepts, x=-4 and x=-1
8 0
3 years ago
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