The negative in front of the second bracket means that it's times by -1 so each of their signs switches:
3m^2+2n-m^2-2n
Add like terms
2m^2
the 2n cancels out
Answer:
First answer is correct
Step-by-step explanation:
pi*r^2
use formula and substitute
r is the radius so half the diameter
Answer:
k = 3
Step-by-step explanation:
Using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A (- 2, 4 ) and (x₂, y₂ ) = P (2k, k)
AP = 
Repeat
with (x₁, y₁ ) = B (7, - 5) and P = (2k, k)
BP = 
Given that AP = BP, then
=
Square both sides
(2k + 2)² + (k - 4)² = (2k - 7)² + (k + 5)² ← expand factors on both sides
4k² + 8k + 4 + k² - 8k + 16 = 4k² - 28k + 49 + k² + 10k + 25
Simplify both sides by collecting like terms
5k² + 20 = 5k² - 18k + 74 ( subtract 5k² from both sides )
20 = - 18k + 74 ( subtract 74 from both sides )
- 54 = - 18k ( divide both sides by - 18 )
k = 3
Answer:
The width of the garden is 99 feet.
Step-by-step explanation:
Given: The perimeter is 306 ft.
Given: the length of the garden is 99 ft.
Step 1: Because the garden is rectangular and so 2 of its sides are the lengths, we must multiply 99 by 2. 99x2=108.
Step 2: To find out the 2 remaining sides of the garden (the widths), we must subtract the perimeter by the lengths. 306-108=198.
Step 3: Because there are 2 sides which are the widths, we know that they are each equal and add up to 198. To find out how long the width is, we must divide the 2 widths by 2. 198/2=99.
So, the width of the garden is 99 feet.
