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:
14
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
FOIL
a^2 + ab+ab + b^2
Combine like terms
a^2 +2ab + b^2
Rearranging
a^2+b^2 +2ab
We know a^2+b^2 = 4 and ab= 5
4 + 2(5)
4+10
14
Answer:
TOO SMALL I CanT SEE THE QUESTION!!
Step-by-step explanation:
Answer:
(2,5)
Step-by-step explanation:
The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.
Answer:
The domain of the function is the set of all real numbers; the range of the function is the set of all nonnegative real numbers; the graph has an intercept at (0, 0); and the graph is symmetric with respect to the y-axis.
Step-by-step explanation:
This is not a square root function, this is a quadratic function, which has an x².
The domain, or set of x-values, is all real numbers. This is because all numbers work for x.
The range, or set of y-values, is the set of all nonnegative real numbers. This is because all numbers we get for y are positive real numbers.
The graph intersect both the x- and y-axis (x-intercept and y-intercept) at (0, 0).
The graph is decreasing on the interval x<0 and increasing on the interval x>0, not the other way around.
The graph has a minimum at (0, 0), not a maximum.
The graph can be folded in half along the y-axis, so it is symmetric with respect to the y-axis.
