Answer:
The square roots of 400 are 20 and -20.
Step-by-step explanation:
You can try the offered answers to see if they square to give 400:
(-40)² = 1600 . . . . -40 is not a square root of 400
(-20)² = 400 . . . . -20 is a square root of 400
20² = 400 . . . . . 20 is a square root of 400
40² = 1600 . . . . 40 is not a square root of 400
_____
The second degree equation ...
x² = 400
will have exactly two solutions, as required by the fundamental theorem of algebra. Those solutions are both given above. There are no other square roots of 400, real or complex.
9. Corresponding
10. Alternate interior
11. Interior
12. Alternate exterior
13. Interior
Answer:
Green and Blue ribbon
Step-by-step explanation:
Given
They collect
Red Ribbon = ½ mile
Green Ribbon = ⅛ mile
Blue Ribbon = ¼ mile
To find?
Which colors of ribbons will be collected at the ¾ mile mark.
The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.
Testing each fraction.
Red Ribbon = ½
¾ ÷ ½
= ¾ * 2
= 3/2
= 1.5 or 1 Remainder 1
This is not an exact multiple of ¾. So, the red ribbon won't be passed here.
Green Ribbon = ⅛
¾ ÷ ⅛
= ¾ * 8
= 24/8
= 3
This is an exact multiple of ¾. So, the green ribbon will be collected.
Testing the last ribbon
Blue = ¼
¾ ÷ ¼
= ¾ * 4
= 3
This is an exact multiple of ¾. So, the blue ribbon will be collected.
Hence, the green and blue ribbons will be collected at ¾ mile mark
Distance= the square root of (x2-x1)^2 +(y2-y1)^2 so (-3-(-3))^2 + (23-(-11))^2= 0^2+34^2=
0+1156= 1156 and the square root of that is 34 so your final answer is 34
