All categories

1 year ago

Find an equation of the line. Write the equation using function notation.

Mathematics

1 answer:

vredina [299]1 year ago

4 0

Answer:

f(x) = -5x +48

Step-by-step explanation:

A fairly easy way to write the equation of the perpendicular line is to swap the x- and y-coefficients, negating one of them. Then choose the constant in the equation to make it true at the given point.

<h3>Swapped coefficients</h3>

In this instance, we find it convenient to leave the coefficient of y as positive.

5y = x -10 . . . . . . original equation

y = -5x +c . . . . . . with coefficients swapped, x-coefficient negated

<h3>New constant</h3>

At the given point, the equation becomes ...

8 = -5(8) +c

48 = c . . . . . . . add 40

<h3>Equation of the perpendicular line</h3>

The equation of the line is then ...

y = -5x +48

f(x) = -5x +48 . . . . . . in functional notation

You might be interested in

The diagram shows a circle of radius 1 contained in a square. If the area of the circle equals x% of the area of the square, the

11111nata11111 [884]

Answer:

Area of square with a side of 2r = 2(1) = 2 = 2^2 = 4

Area of circle = pi ( 1)^2 = pi

x = pi / 4 ≈ .79 = 79%

7 0

2 years ago

There are 120 students in the seventh grade. Seventy percent of these students are involved in extracurricular activites. How ma

Tanzania [10]

First, turn 70% into a decimal by dividing 70 by 100.

70% ⇒ 0.70

Multiply 120 by 0.70.

120 × 0.70 = 84

Now we know that 84 students are involved in extracurricular activities. Subtract 84 from 120 to find the amount of students who are <em>not</em> involved in extracurricular activities.

120 - 84 = 36

<h2>Answer:</h2>

<u>36 seventh grade students are not involved in extracurricular activities.</u>

6 0

2 years ago

Read 2 more answers

If 3 pipes can fill the tank completely in 2 hour then when will 1 pipe fill the tank

Montano1993 [528]

Answer:

6 hours

Step-by-step explanation:

8 0

2 years ago

Set up a linear system and solve.

liubo4ka [24]

Answer:

The two integers are 23 and 12

Step-by-step explanation:

Let the two integers be f and g

Let f be the biggest and g the smallest integer

From the first statement, the sum of the two integers is 35 i.e

f + g = 35. (1)

From second statement, we were told that when the smaller integer is subtracted from twice the larger, the result is 34 i.e

2f — g = 34. (2)

Now we'll solve by elimination method as follows:

Add equation (2) and (1) together:

2f — g = 34

+ f + g = 35

3f = 69

Divide both side by the coefficient of f i.e 3

f = 69/3

f = 23

Substituting the value of f into equation(1)

f + g = 35

23 + g = 35

Collect like terms

g = 35 — 23

g = 12

The two integers are 23 and 12

4 0

2 years ago

30 is what percent of 60%

liq [111]

Answer:

Step-by-step explanation:

(✿◡‿◡)

8 0

2 years ago

Read 2 more answers