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atroni [7]
3 years ago
11

Write an equation of a line that goes through the point (-9, 3), and is perpendicular to the line 3x + y = 5

Mathematics
1 answer:
Vlad [161]3 years ago
3 0
To find the slope of the line, first find the slope of 3x + y = 5, and then its opposite reciprocal.

3x + y = 5
y = -3x + 5
the slope of 3x + y = 5 is -3.

the slope is -3, so the opposite reciprocal slope is 1/3.

the equation of any line is y = ax + b
to find this line, y = 3, x = -9, and the slope is 1/3.

3 = -9a + b
3 = -9 (1/3) + b
3 = -3 +b
b = 6

substitute a and b into the equation
y = ax + b
y = 1/3x + 6

the equation of the line is y = 1/3x + 6.


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The sum<br> of three consecutive integers is - 126. What are the integers?
Leno4ka [110]
Let the three consecutive integers be x , x+1 ,x+2
Given, sum of three consecutive integers = -126
x +x+1+ x+2 = -126
3x +3 = -126
3x = -126 -3
3x = -129
x = -129/3
x = - 43
x +1 = -42
x +2 = -41
4 0
3 years ago
Solve the following system of equations.
Elan Coil [88]

Answer:

(2,-3)

Step-by-step explanation:

I am not sure if you meant the first equation to be y or -y.  I solved it as y.

y = x-5                       -x -3y =7

I am going to take the second equation and write it as x =

-x - 3y = 7  Give equation

-x = 3y +7   Add 3y to both sides

x = -3y-7  Multiplied each term in the equation by -1 so that x could be positive

I am going to substitute -3y-7 for x in the first equation up above

y = x - 5

y = -3y -7 - 5  Substitute -3y-7 for x

y = -3y -12  Combined -7-5

4y = -12  Added 3y to both sides

y = -3  Divided both sides by 4.

I now know that y is -3, I will plug that into x = -3y-7 to solve for x

x = -3(-3) -7

x = 9-7   A negative times a negative is a positive

x = 2

5 0
1 year ago
FOR MANY POINTSish
dangina [55]

x will represent the first unknow number

6x will represent the second number

the two numbers together will equal 21

6x + x = 21  combine like terms

7x =21  divide both sides by 7

x =3


Hope that helps.

brainliest is always appreciated.

4 0
3 years ago
A purchaser of electric relays buys from two suppliers, A and B. Supplier A supplies two of every three relays used by the compa
inessss [21]

Answer:

The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409.

Step-by-step explanation:

We can model this question with a binomial distribution random variable.

The sample size is n=60.

The probability that the relay come from supplier A is p=2/3 for any relay.

If we use a normal aproximation, we have the mean and standard deviation:

\mu=np=60*(2/3)=40\\\\\sigma=\sqrt{npq}=\sqrt{60*(2/3)*(1/3)} =3.65

The probability that at most 38 of the 60 relays are from supplier A is P(X≤38)=0.3409:

P(X\leq38)=P(X

5 0
3 years ago
Can someone explain how to find the answer to x​
OLga [1]

Answer:

130

Step-by-step explanation:

X is the alternate corresponding angle to 50.   50+y=180

y=130

x and y = the  same thing so 130 is the value of x

4 0
3 years ago
Read 2 more answers
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