Answer:
7. x = -2 +/- 
8. x = 2 or x = 6
9. x = -2 +/- 
10. t = -3 +/- 
Step-by-step explanation:
7. Subtract 320 from both sides: 4(x + 2)^2 = -320
Divide by 4: (x + 2)^2 = -80
Square root both sides: x + 2 = +/- 
. We need to add the imaginary i to this: +/- = +/- 
= +/-
Subtract 2 from both sides: x = -2 +/-
8. Add 18 to both sides: 7(x - 4)^2 = 28
Divide by 7: (x - 4)^2 = 4
Square root both sides: x - 4 = +/- 2
Add 4 to both sides: x = 4 +/- 2 ⇒ x = 2 or x = 6
9. Add 5 to both sides: -2(x + 2)^2 = 13
Divide by -2: (x + 2)^2 = -13/2
Square root both sides: x + 2 = +/- 
. We again need i: +/- = +/- 
+/-
Subtract 2 from both sides: x = -2 +/-
10. Multiply by 5 on both sides: (t + 3)^2 = 35
Square root both sides: t + 3 = +/-
Subtract 3: t = -3 +/-
Hope this helps!
Answer:
The length of segment XY can be found by solving for a in
The measure of the central angle 
is 
.
Step-by-step explanation:
If the regular octagon has a perimeter of 122.4cm, then each side is 
The measure of each central angle is 
The angle between the apothem and the radius is 
The segment XY=a is the height of the right isosceles triangle.
We can use the Pythagoras Theorem with right triangle XYZ to get:
Therefore, the correct options are:
The length of segment XY can be found by solving for a in
The measure of the central angle is .
Answer:
(16 + 8√3) in²
Step-by-step explanation:
The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...
... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²
The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...
... area to cover = (16 +8√3) in²
_____
<em>Comment on problem dimensions</em>
The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.
Answer:
I'm almost positive it's H, but not completely positive....It starts 12n, because n=nuggets, than you add the amount of calories of the large order of fries which is 193.5 calories.....
Step-by-step explanation:
Really sorry if I am wrong. I tortured my brain WITH THIS!!!!!!!
