All categories

2 years ago

Find an equation for the line passing through the point (6,1) and perpendicular to the line y=4x-2

Mathematics

1 answer:

Murrr4er [49]2 years ago

4 0

Answer:

y = -1/4x + 2.5

y = -1/4x + 5/2

Step-by-step explanation:

First we know that a perpendicular line is one that intersects at a 90-degree angle. This is simply the negative inverse of the slope in our case. So, 4 turns into -1/4 and that is our new slope. Next we know that we want it to pass through the point (6,1). Right now our equation is y = -1/4x + b. We can plug (6,1) into this equation and solve.

1 = -1/4(6) + b

1 = -6/4 + b

4/4 + 6/4 = 10/4

10/4 = b

simplify: 5/2 or 2.5 = b

Now we have our y-intercept, so we can complete our equation.

y = -1/4x + 2.5

y = -1/4x + 5/2

You might be interested in

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

2 years ago

The area of the rectangular table is 18 square feet the width of the table is 3 ft what is its length

MrRa [10]

Answer:

Step-by-step explanation:

Okay, In solving to find the square feet of a rectangle, you need to know the length and the width to be able to get the answer. Length x Width = area. In this case you already know the area, so just reverse the steps. 18 Ft is the area and the width is 3ft, you’re just missing length. 18/3 = 6. 6ft is the length

6 0

2 years ago

1. If you are asked to use elimination to solve for x", what do you need to multiply the bottom equation by to eliminate "y?

hram777 [196]

Answer:

-5

Step-by-step explanation:

There is different ways to solve methods of elimination but if you wanted to cancel y out you would multiply by the opposite sign....for example

7x + 5y = 19

-5 (2x + y = 19) ---> -10x -5y = 95

this would cancel out your y to solve for x so you can plug it back in and solve! hope this helps!!!

6 0

1 year ago

Each square on the grid represents 1 yd2.

Ksivusya [100]

The answer is about 30 yd2 to 40 yd2 or B.

Thank you :)

7 0

2 years ago

Find a linear equation whose graph is the straight line with the given property through (0.5,7) and parallel to the line 4x-2y=1

Gre4nikov [31]

A factor of 2 can be removed from the given line to put it in standard form. Then the given point can be substituted to find the new constant.
2x - y = 2(0.5) - 7 = -6

The equation you seek is
2x - y = -6

7 0

2 years ago