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!
90° counterclockwise rotation
Answer:
Midpoint is (0.5,6.5)
the distance is 7.1
Step-by-step explanation:
hope this helps u have a nice day :)
Length in feet multiplied by width in feet multiplied by height in feet divided by 27 equals cubic yards needed.
When dealing in inches: convert inches to feet by dividing by 12.
For example: pour a 25 ft. sidewalk 5 ft. wide and four inches deep.
(25’ x 5 ‘ x 0.333’) / 27 = 1.54 cubic yards
Note* we achieved 0.333 ft. by taking four inches and dividing by twelve.
Another example: yardage for an 80 ft. driveway, 24 ft. wide and 5 inches deep.
(80’ x 24’ x 0.416’) / 27 = 29.58 cubic yards
