Answer:
Stephen has 9 trees
Alice has 21 trees
Step-by-step explanation:
<u>At the beginning:</u>
Stephen = x trees
Alice = x + 12 trees
<u>At the end:</u>
Alice = (x + 12) - 4 trees
Stephen = x + 10 trees
Total = 36
Then

Stephen - 9 trees
Alice - 9 + 12 = 21 trees
Answer: (–3, 1) , (5, –2)
Step-by-step explanation: Got it right Edgenuity
Answer:
2187
Step-by-step explanation:
× 3
729 × 3
2187
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.
Let x = the length of a side of the square (m).
The area is
A = x²
The perimeter is
P = 4x
The rate of change of P with respect to x is
P'(x) = 4 (independent of x)
When A = 49 m², then x = 7 m.
The rate of P is 4.
Answer: 4