Answer:
The answer is C
Step-by-step explanation:
Use the Pythagoras theorem which states that a2 = b2 + c 2
For easier understanding imagine a straight line along the x axis. At (0,0) we have Atlanta. Moving 21 units to our right we have Columbia. This is represented on the coordinate system by (21, 0). To go from Colombia to Charleston, which is located at (24, -11), we need to travel 3 units right along the x- axis to reach ‘24’ and ‘11’ units down along the y- axis to reach (24, -11). Starting from Colombia we can make an imaginary triangle with its perpendicular being the y- component and its base being the x- component, which as we have stated above is ‘-11’ and ‘3’ respectively
Now applying the Pythagoras theorem to calculate the hypothesis and hence the distance between Colombia and Charleston.
a, which represents the distance between Colombia and Charleston would be
a² = b² + c²
a² = (3)² + (-11)²
a = √[(3)² + (-11)²]
Hence the answer is C
Answer:
D
Step-by-step explanation:
(I solved in the picture, firstly look at there)
after completing the square and factoring :
Hope this helps ^-^
Answer:
C. Elise should multiply both sides by 8.
Step-by-step explanation:
We need to undo what is being done to x
We are dividing x by 8, so to undo it we do the opposite.
The opposite of dividing is multiplication.
We multiply each side of the equation by 8
1. Original equation
2.Distributive property
3. Add 6x to each side
4. Subtract 2 from each side
5. Divide each side by 11
Answer:
y=0
Step-by-step explanation:
Exponential functions, always have a horizontal asymptote. A function of the form f(x) = a (b^x) + c always has a horizontal asymptote at y = c. In this case the function is
so it doesn't have a +c which means the horizontal asymptote is y = c = 0
y = 0 is the horizontal asymptote
