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3 years ago

What is an equation of the line that passes through the point (6,0) and is perpendicular to the line 3x+4y=20

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

The equation of the line is y = 4/3x - 8

Step-by-step explanation:

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

3x + 4y = 20

4y = -3x + 20

y = -3/4x + 5

Now that we have the slope of -3/4 we can find the perpendicular slope. The perpendicular slope of any time is the opposite and reciprocal slope. So we flip -3/4 to get -4/3 and then we make it positive (4/3). Now that we have our new slope, we can input it along with the point into point-slope form to find the equation.

y - y1 = m(x - x1)

y - 0 = 4/3(x - 6)

y = 4/3x - 8

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Tema [17]

Answer:

$y = \frac{1}{2} x+7$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{10-4}{6-(-6)}$

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

$\frac{6}{12}=\frac{1}{2}$

The slope is $\frac{1}{2}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

$10 = \frac{1}{2}(6)+b$

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

$y = \frac{1}{2} x+7$

4 0

3 years ago

2 sides of a triangle are congruent. The base length is unknown. The top angle is 40 degrees and the bottom left angle is x degr

ANTONII [103]

Answer:

Step-by-step explanation:

both sides of the triangle are 70 because they equal 140 plus 40 is 180

7 0

3 years ago

Read 2 more answers

Hi please help i’ll give brainliest

9966 [12]

32-3 which is 29 Im pretty sure

7 0

3 years ago

Someone please help me im timed

Nikitich [7]

Answer:

Step-by-step explanation:

All sides of a square are equal.

3 0

3 years ago

The area in square feet of a rectangular field is x^2-100x+2400. The width, in feet is x-40. What is the length, in feet?

sattari [20]

Answer:

x-60

Step-by-step explanation:

You have to factor out the quadratic.

You know that one of the factors is x-40.

To factor:

Find a number that when added to -40, gives you -100, and also when multiplied, gives you 2400.

That such number is -60.

Add an x before it, and you get (x-60)

3 0

3 years ago