Solve y = x2-5 for x. O A. x = +/-5 B. X = y + 5 C. X = +/y+5 O D. x = y-5

What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

$-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2$

Thus, the slope is: $m_ {1} = \frac {1} {3}$

Then $m_ {2} = \frac {1} {3}$

So, the line is of the form:

$y = \frac {1} {3} x + b$

We substitute the point $(x, y) :( 3,5)$ and find b:

$5 = \frac {1} {3} (3) + b\\5 = b$

Thus, the equation is:

$y = \frac {1} {3} x + 5$

Answer:

$y = \frac {1} {3} x + 5$

5 0

3 years ago

The area of a square is 1 square foot. What is the length of each side of the square?

kogti [31]

3 because there are four sides so 3+3+3+3=12

8 0

3 years ago

Which of the following numbers has the correct number of significant digits for the sum of 4.0125 and 5.72?

sladkih [1.3K]

Answer:

the answer to your question is 9.73

6 0

2 years ago

Read 2 more answers

Please help the distance formula

Alexxandr [17]

Answer:

7.8

Step-by-step explanation:

distance formula : $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where the x and y values are derived from the given points

here the given points are (11,3) and (6,9)

assigning variables

(x1,y1) = (11,3) so x1 = 11 and y1 = 3

(x2,y2) = (6,9) so x2 = 6 and y2 = 9

plugging in values into formula

recall formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

==> plug in x1 = 11 , y1 = 3 , x2 = 6 and y2 = 9

$d=\sqrt{(6-11)^2+(9-3)^2}$

==> subtract values in parenthesis

$d=\sqrt{(-5)^2+(6)^2}$

==> evaluate exponents

$d=\sqrt{25+36}$

==> add 25 and 36

$d=\sqrt{61}=7.8$ ( approximately )

8 0

2 years ago

For the following system if you isolated X in the second equation to use the substitution method what expression would you subst

Anestetic [448]

Option A. зу + 12 is the right answer

Step-by-step explanation:

The substitution method consists of finding the value of a variable from one equation and then putting it into another equation to find the value of other variable.

Given equations are:

$2x+y=8\\-x-3y=-12$

We have to isolate x in the 2nd equation

$-x-3y=-12$

Multiplying equation by -1

$x+3y=12$

Subtracting 3y from both sides

$x+3y-3y=12+3y\\x=12+3y$

Hence,

Option A. зу + 12 is the right answer

Keywords: linear equations, Variables

Learn more about linear equations at:

#LearnwithBrainly

4 0

3 years ago