Answer:
(8,2)
Step-by-step explanation:
The rule is (x,y) becomes (-x, y). You can visualize this. (-8,2) is 8 units to the left of the origin (0,0) and two units up from the origin (0,0). Now, it we flip it so that is is on the other side of the y axis, it is still two units above the origin(0,0), but it is now 8 units to the right of the origin.
Answer:
x = -2, x = 2
Step-by-step explanation:
The denominator factors as ...
x^2 -4 = (x -2)(x +2)
The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.
A)
3 : 1
24 : ?
Add the ratio together (3+1=4), Divide the one you know (24 Black bears) by the ratio (24/4=8), the answer equals the amount of the missing value. (?=8)
B)
3 : 1
? : 12
12*3=36 ?=36
The black bear is just 3* bigger than the grizzly bear.
C)
Total =20
Add the ratio together (3+1=4), divide by the total (20/4=5), and then just multiple the ratios by 5.
3 : 1
15 : 5
I hope this helps :)
None of your options, not via complete the square nor quadratic the formula.
Solve for x over the real numbers:
x^2 + 8 x + 9 = 0
x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2
sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2
(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2
Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)
(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:
Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________
Solve for x:
x^2 + 8 x + 9 = 0
Subtract 9 from both sides:
x^2 + 8 x = -9
Add 16 to both sides:
x^2 + 8 x + 16 = 7
Write the left hand side as a square:
(x + 4)^2 = 7
Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)
Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)
Subtract 4 from both sides:
Answer: x = sqrt(7) - 4 or x = -4 - sqrt(7)
