What function is represented by this table?

Ralph owns a circular farm as shown. He is planning to fence a triangular pigpen ABC in the farm. Point M is the midpoint of the

Flauer [41]

Answer:

$Total = \$942$

Step-by-step explanation:

Given

$A = (0,0)$

$C = (3,4)$

See attachment for farm

Required

The cost of fencing the farm

First, calculate the radius of the farm.

The radius is represented with AC.

So, we have:

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

So, we have:

$AC = \sqrt{(0 - 3)^2 + (0 - 4)^2}$

$AC = \sqrt{(- 3)^2 + ( - 4)^2}$

$AC = \sqrt{9+16}$

$AC = \sqrt{25}$

$AC = 5$

Hence:

$r = 5$ --- radius

Calculate the circumference of the circle

$C = 2\pi r$

$C = 2 * 3.14 * 5$

$C = 31.4yd$

If 1 yard costs $30, 31.4 yards will cost:

$Total = 31.4 * 30$

$Total = \$942$

5 0

2 years ago

Find the inverse of the following functions f(x)=6-3x g(x)=x+2

astraxan [27]

      f(x) = -3x + 6
    y = -3x + 6
      x = -3y + 6
   x - 6 = -3y
   -3    -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)

g(x) = x + 2
   y = x + 2
   x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)

4 0

2 years ago

Read 2 more answers

Write the equation of the line that passes through the points (7,-6) and (0,2). Put

Alex

Answer:

$y+6=\frac{-8}{7} (x-7)$

Step-by-step explanation:

To find the slope of the equation use $\frac{y_2-y_1}{x_2-x_1}$ .

So, $\frac{-6-2}{7-0}$ = $\frac{-8}{7}$ . Now we can use our slope and any of the two points to write in point-slope form, which is $y-y_1=m(x-x_1)$ . Using the point (7,-6), the formula will give $y+6=\frac{-8}{7} (x-7)$ .

To check, you can plug in this equation and the points into a calculator to graph. The line passes through both points.

6 0

3 years ago

A survey of 100 students was taken concerning their knowledge of foreign languages. The results were as follows: 30 know French1

Sati [7]

35 students would not know any of the three languages, because if 30 know French, 19 knew German, and 16 knew Russian, that must mean that 65 students know at least one of the three languages. So you subtract 65 from 100 and end up with 35

5 0

3 years ago

Read 2 more answers

Find the equation of the line with slope 3/7 and that passes through the point (14, 0). Write your answer in the form y = mx + b

Allushta [10]

Answer:

y = 3/7x - 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 3/7

Point (14, 0)

Step 2: Find y-intercept b

Substitute: 0 = 3/7(14) + b
Multiply: 0 = 6 + b
Isolate b: -6 = b
Rewrite: b = -6

Step 3: Write linear equation

y = 3/7x - 6

7 0

3 years ago