Answer:
y=-3/4x - 7
Step-by-step explanation:
When finding the slope given a point and a slope, we do the following.
y=mx+b (Slope-intercept Form)
m is the slope and x,y are the points
Plug in everything
-1= -3/4(-8)+b
Multiply
-1 = 6 + b
-7 = b
This gives us the final equation of y=-3/4x - 7
Answer:
51/12
as a mixed number
4 1/4
Step-by-step explanation:
first you add 8 to 4 which is 12
so the improper fraction would be 51/12
how to turn it in to a mixed number in simplest form
step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 51 by 12 and keep only what is to the left of the decimal point:
51 / 12 = 4.2500 = 4
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
51 - (12 x 4) = 3
Step 3 - Put Together
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
4
3
12
Step 4 - Minimize
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 51/12 as a Mixed Number is:
4
1
4
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
A = πr²
Substituting,
A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m².
