Answer:

Step-by-step explanation:
Convert this Quadratic Equation to Vertex Form by completing the square,
:
![\displaystyle -5x^2 -10x + 6 \\ \\ -5x^2 - 10x + 25 + k \\ -5[x^2 + 2x - 5] + k \\ -5[x^2 + 2x + 1] + k → -5[x^2 + 2x + 1] + 11 → f(x) = -5[x + 1]^2 + 11 \\ \\ Vertex: [-1, 11]; 11 = Maximum](https://tex.z-dn.net/?f=%5Cdisplaystyle%20-5x%5E2%20-10x%20%2B%206%20%5C%5C%20%5C%5C%20-5x%5E2%20-%2010x%20%2B%2025%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20-%205%5D%20%2B%20k%20%5C%5C%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%20k%20%E2%86%92%20-5%5Bx%5E2%20%2B%202x%20%2B%201%5D%20%2B%2011%20%E2%86%92%20f%28x%29%20%3D%20-5%5Bx%20%2B%201%5D%5E2%20%2B%2011%20%5C%5C%20%5C%5C%20Vertex%3A%20%5B-1%2C%2011%5D%3B%2011%20%3D%20Maximum)
So as you can see, each time we broke the equation down, we used the formula
to complete the square.
** In the Vertex Formula, −h gives the OPPOSITE terms of what they really are, so do not forget it.
I am joyous to assist you anytime.
Part A) 24.79 acres
1) Since that plot has an area of

And the number of units must be between 10 and 10² units.
Part A)

2) Let's convert them to the apparently plausible units, see if it fits within the given interval.

We can see that 0.03 m² does not belong to the given interval.
3) Hence, the answer is 24.79 acres.
28 / 8 = 3.5
20 x 3.5 = 70
20 men can chop down 70 trees
Answer:
1st option
Step-by-step explanation:
turn 15% into a decimal:
%15 -> 0.15
multiply $7 by 0.15 then add together:
7 x 0.15 = 1.05
$7 + $1.05 = $8.05
20 hours x $8.05 hour = $161
$161 x 10 weeks = $1610 total by the end of summer
<em>the question does not say how many hours she works normally so the answer might be off...</em>
if she continued with $7, assuming she works 20 hours/week:
20 hours x $7 = $140
$140 x 10 weeks = $1400
$1400 + $200 = $1600 total by the end of summer
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm