Answer:
Area of tomato section is 45 
Step-by-step explanation:
The total area for garden is the area of a square with side 14 ft.
That means the garden's total area is the square of its side:
Area of a square of side "x" = 
, then for our case where the square's side is 14 ft, the square's area becomes: 
Inside this area, there is a square of side 4 ft reserved for flowers (and what is left -the rest- for veggies). The area of the flower section is then: 
. Therefore the rest of the garden that is intended for veggies is (the total garden area minus the flower section area) = 
This remaining veggie are is to be divided in four (4) equal parts, and one of them destined for tomato plants. The area of each of the veggie sections is one fourth of the remaining area: 
So in particular the tomato plant area is 45
We are given the following two equations
Let us subtract the second equation from the first equation.
Therefore, the result of subtracting the second equation from the first is
Circle equation: (x - h) + (x - k) = r²
(h, k) = center
r = radius
The center (0.5, 3.5)
To find the radius, take the square root of 16.
√16 = 4
The radius is 4.
Best of Luck!
Answer:
(- 6, 14 )
Step-by-step explanation:
Given the 2 equations
x + y = 8 → (1)
2x + y = 2 → (2)
Multiplying (1) by - 1 and adding to (2) will eliminate the y- term
- x - y = - 8 → (3)
Add (2) and (3) term by term to eliminate y, that is
x = - 6
Substitute x = - 6 into either of the 2 equations and evaluate for y
Substituting into (1)
- 6 + y = 8 ( add 6 to both sides )
y = 14
solution is (- 6, 14 )
The vertex is in essence the turning point of the parabola y = x²<span> − 10x + 2
the x coordinate of the turning point = </span>
=
= 5
when x = 5, y = (5)² - 10(5) + 2
= -23
Thus coordinate or vertex is ( 5, -23)
