Let
x-----------> <span>uniform width surrounding the picture
we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0
using a graph tool-----> to resolve the second order equation
see the attached figure
the solution is
x=2 in
the answer is2 inches
Answer:
The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval:
f
(
x
)
= x
^2
, [
2
,
3
]
The rate of Change is 2
Step-by-step explanation:
<span>9a + -3(2a + -4) = 15
Reorder the terms:
9a + -3(-4 + 2a) = 15
9a + (-4 * -3 + 2a * -3) = 15
9a + (12 + -6a) = 15
Reorder the terms:
12 + 9a + -6a = 15
Combine like terms: 9a + -6a = 3a
12 + 3a = 15
Solving
12 + 3a = 15
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 3a = 15 + -12
Combine like terms: 12 + -12 = 0
0 + 3a = 15 + -12
3a = 15 + -12
Combine like terms: 15 + -12 = 3
3a = 3
Divide each side by '3'.
a = 1
Simplifying
a = 1</span>
Answer:
-8-8-8
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let h be the height of the tree.
Given:
Height of the tree = 379 feet
We need to find the height of the tree in yards.
Solution:
From the given statement, Hyperion is the tallest tree in the park, with a height of approximately 379 feet,
We need to convert the height of the tree from feet to yard. So, We divide the height of the tree by three for yard.
For one feet

For 379 feet


Therefore , height of the tree 