All categories

3 years ago

Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

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

y + 5 = -1/3x + 1

y = -1/3x - 4

You might be interested in

The area of a mirror is 225 square inches, and it's width is 13 3/4 inches. what is the length of the mirrror?

andreyandreev [35.5K]

A = l x w
225 = l * 13 3/4
225 ÷ 13 3/4 = l * 13 3/4÷ 13 3/4
16 4/11 = l

Length = 16 4/11 inches

4 0

3 years ago

H(x) = 17 + x/6 h(-18) = ___ x/6 is a fraction please helpp

gayaneshka [121]

Simply plug in the value for x.

If x is equal to -18, then plug in -18 for x.

Example:

f(x) = 15 + x/5.
f(5) = 15 + 5/5.

Then solve the equation.

A function is just something that receives some value and then barfs a value out. This is an IO relationship. (Input/Output).

6 0

3 years ago

Tommy earns $7.50 per hour when he works at his neighborhood pet store. How much money does Tommy earn by working 4 hours

nalin [4]

Answer:

Step-by-step explanation:

heyaaa,

He earns:($7.50 per hour) x (4 hours) = $30

thanx mark as brainlest.

3 0

3 years ago

a pilot flying at In altitude of 1800 m spots in airplane in the distance he notices that the angle of the depression from the p

kogti [31]

Let x be the distance between the plane and the airport.
We have,
Angle of depression = 22°
Altitude = 1800 m
Sin 22° = Opposite/Hypotenuse
=> Sin 22° = Altitude/x
=> Sin 22° = 1800/x
=> x × Sin 22° = 1800
=> x = 1800/Sin 22°
=> x = 1800/0.3746065934
=> x = 4805.04089 m

7 0

3 years ago

Are x+4=5 and 2x+8=10 equivalent equations?

MatroZZZ [7]

Answer:

Yes

Step-by-step explanation:

You can find the answer to this question by finding the value of x in both equations.

Let's start off with the first equation: $x+4=5$

To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.

$x+4-4=5-4$

$x=1$

The answer to the first equation is x = 1.

Now let's start on the second equation: $2x+8=10$

Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.

$2x+8-8=10-8$

$2x=2$

Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).

$\frac{2x}{2} = \frac{2}{2}$

$x = 1$

The answer to the second equation is x = 1.

Since both equations have the same solution, the answer to your question would be yes.

8 0

3 years ago

Read 2 more answers