Answer:
The equation of the line is y = -3/7x - 23/7
Step-by-step explanation:
To start we need to find the slope of the original line. We can do this by solving the equation for y.
3x + 7y = 21
7y = -3x + 21
y = -3/7x + 3
Now we know the slope to be -3/7. Since parallel lines have same slopes, we know the new line also will have a -3/7 slope. We can now use that along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 5 = -3/7(x - 4)
y + 5 = -3/7x + 12/7
y = -3/7x - 23/7
Answer:
9.43km
Step-by-step explanation:
Length of an arc = 2πr(Ф/360)= 2 x 22/7 x 3 x (180/360)
2 x22/7 x 3 x 1/2 = 22/7 x 3 = 66/7 = 9.42857142857≈9.43
Answer:
F(x) = 5x - 7
Step-by-step explanation:
25x - 5y = 35
-5y = - 25x +35
Y = 5x - 7
F(x) =5x - 7
Answer:
Dimensions: 150 m x 150 m
Area: 22,500m²
Step-by-step explanation:
Given information:
- Rectangular field
- Total amount of fencing = 600m
- All 4 sides of the field need to be fenced
Let = width of the field
Let = length of the field
Create two equations from the given information:
<u>Area of field</u>:
<u>Perimeter of fence</u>:
Rearrange the equation for the perimeter of the fence to make y the subject:
Substitute this into the equation for Area:
To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:
Set it to zero and solve for x:
Substitute the found value of x into the original equation for the perimeter and solve for y:
Therefore, the dimensions that will give Tanya the maximum area are:
150 m x 150 m
The maximum area is:
First, take 2.2 and subtract it from 8.5. You get 6.3. Split that by three parts, and it's 2.1. Now add that to the 2.2. You get 4.3
So, the answer: 4.3
God bless!