Answer:
-2-2√3, -2+2√3
Step-by-step explanation:
Let x represent one of the numbers. Then the other number is -4-x. We want the product to be -8:
x(-4-x) = -8
-4x -x^2 = -8 . . . . . eliminate parentheses
x^2 +4x = 8 . . . . . . multiply by -1
x^2 +4x +4 = 12 . . . add 4 to complete the square
(x +2)^2 = 12
x +2 = ±√12 = ±2√3
x = -2±2√3
The two numbers are -2-2√3 ≈ -5.4641, and -2+2√3 ≈ 1.4641.
Answer:
14
Step-by-step explanation:
It is.
Answer:
(a) (-12/13, 5/13)
(b) (12/13, -5/13)
(c) (-12/13, -5/13)
(d) (12/13, 5/13)
Step-by-step explanation:
(a) The terminal point is effectively reflected across the y-axis, so the sign of the x-coordinate changes. (-12/13, 5/13)
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(b) The terminal point is effectively reflected across the x-axis, so the sign of the y-coordinate changes. (12/13, -5/13)
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(c) The terminal point is effectively reflected across the origin, so the signs of both coordinates change. (-12/13, -5/13)
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(d) The terminal point is mapped to itself, so its coordinates remain unchanged. (12/13, 5/13)
Answer:
2/45
Step-by-step explanation:
0.04... is the same as 0.1 * 0.4... because we are moving it up a decimal place, it's the same as multiplying by ten: we needed to multiply by a tenth to cancel that out. 0.4... is the same as 4/9 and 0.1 is the same as 1/10. We can rewrite the expression above as: 
. Multiplying the two fractions results in 4/90 which can be simplified to 2/45.
Answer:
its 40
Step-by-step explanation:
1x20 = 20
and 2x20=40
