Answer:
Point B must be at the same distance from the the origin as point A.
Step-by-step explanation:
Coordinates of point A = (3, 3)
When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)
Distance from origin to point A = 
Similarly, distance of point B from the origin =
Therefore, distances of both the points from the origin are same.
Point B must be at the same distance from the the origin as point A.
Answer:
1/12 of a mile.
Step-by-step explanation:
1. Find a common denominator. In this instance, we can use the denominator of 12 because both 3 and 4 are multiples of 12.
2. Multiply each fraction (numerator and denominator) to convert them.
1/3(4/4) = 4/12
1/4(3/3) = 3/12
3. Subtract.
4/12－3/12 = 1/12
X+y = 12
x-y = 3
x = 3+y
Substitute it in 1st equation,
3+y+y=12
2y = 9
y = 4.5
Substitute it in 1st eq.,
x = 12-4.5 = 7.5
So, the two numbers are 7.5 & 4.5
Hope this helps!
Answer:
It will be one-fourth the original size
Step-by-step explanation:
Answer:
Step-by-step explanation:
Disclaimer all solutions need to be verified by the student for accuracy in typos, algebra and calculations.
f(x) = x² + 14 g(x) = x - 2 -1 ? I think it means evaluate when x = -1
Find (f(x) + g(x)) when x = -1
(f(x) + g(x)) = [ ( x² + 14) + (x - 2)] insert f(x) and g(x)
= [ x² + x + 14 - 2] add like the term
(f(x) + g(x)) = x² + x + 12
(f(-1) + g(-1)) = (-1)² + (-1) + 12 evaluate at x = -1
= 1 - 1 + 12
= 12
