All categories

2 years ago

10. Write the equation of the line that is parallel tox-3y = 9 and passes through the point (3,-1).

Mathematics

1 answer:

Lorico [155]2 years ago

6 0

Answer:

Equation of the line that is parallel tox-3y = 9 and passes through the point (3,-1) is

$y+1= - \frac{1}{3} (x-2)$

Step-by-step explanation:

Slope of line x-3y = 9 is -1/3

Since Parallel lines have same slope. Therefore slope of line passing through the point (3,-1) is also -1/3.

Equation of line in point slope form is given as

$y-y_1=m(x-x_1)$ ---------- (1)

Here

$m=-\frac{1}{3} \ \ and \ \ (x_1, y_1)= (3, -1)$

substituting values in equation (1)

$y+1= - \frac{1}{3} (x-2)$

You might be interested in

Lara is a 50% partner. She is guaranteed payment of no less than 20,000. The partnership's income before deducting guaranteed pa

enyata [817]

Answer:

Lara's share = 25000

Step-by-step explanation:

Partnership's income = 50,000

Lara's guaranteed payment = 20,000

As the Income 50,000 is larger than Lara's guaranteed payment i.e 20,000. Since Lara is 50% partner so she will receive half the amount of the partnership's income.

Partnership's Income = 50,000

Half of Partnership's income = 50,000/2

= 25,000

Therefore, Lara's distributive share is 25,000.

8 0

3 years ago

The tree diagram below shows all of the possible outcomes for flipping three coins.

Pepsi [2]

Answer:

Step-by-step explanation:

Ghhjj fun in jjhv GUI gh

3 0

2 years ago

Sergio passes by a bike store on Monday and sees his dream bike in the window. It cost 120 . He passes by on Wednesday and is th

insens350 [35]

Answer:

Step-by-step explanation:

120 - (120/4)

120 - 30 = 90

3 0

3 years ago

You are baking cookies for your class. There are 23 total students in your class and you have baked 12 cookies. Write and solve

PilotLPTM [1.2K]

23 x 2=46
46-12=34
34 more cookies

5 0

3 years ago

Please help me with question 2

WARRIOR [948]

Answer:

sin(-a)= -15 /17

Step-by-step explanation:

Alright, lets remember that sin(x) is odd function, which means that

wherever you watch an expression like this: sin(-a), you can use the odd functions property, and turn it like the following

sin(-a)= - sin(a)

Now, other thing to remember: $(sin(x))^{2}+(cos(x))^{2}=1$

So, we can obtain any value for sin(x) function starting from the opposite function, cos(x), using the following:

$sin(x)=\sqrt{1-(cos(x))^{2} }$

So, if cos(a)= - 8 / 17, using the above equation we obtain the value for sin(a)

$sin(a)=\sqrt{1 - (cos(a))^{2} } = \sqrt{1 - ( \frac{8}{17} )^{2} }= \sqrt{\frac{225}{289} } =15/17$

Using the odd function property, we get the following result

sin(-a)= - sin(a) = -15/17

6 0

2 years ago

10. Write the equation of the line that is parallel tox-3y = 9 and passes through the point (3,-1).​

10. Write the equation of the line that is parallel tox-3y = 9 and passes through the point (3,-1).