Answer:
Step-by-step explanation:
Given
Represent point A as thus;
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
Then, y is negated to give A'
Answer:
25.5 and 1.5
Step-by-step explanation:
AC = 12 cm
BC = 13.5 cm
12 + 13.5 = 25.5 cm
13.5 - 12 = 1.5 cm
Answer:
D
Step-by-step explanation:
the the 5 minus the 12 and the 0 minus the negative one all finds it way. back to the equation d
Answer:
47.4%
Step-by-step explanation:
It has to be below 50% because those weights fall at or below the average.
The slope of the first equation has a slope of one and a y intercept of -4. The second equation has a y intercept of -2.3333 as seen when plugging in 0 for x, so the same y-intercept and same line are out of the question. This means either they have the same slope and thus are parallel or intersect at some point. A simple way to find out? Plug in 1 for x on the second. If it isn't -1.33333, which is a slope of positive 1 such as in the first equation, they WILL INTERSECT somewhere. When plugging in 1, we get
3y - 1 = -7
3y = -6
y = -2
(1, -2) is the next point after (0, -2.3333)
That means it is most certainly not the same slope, and thus they will intersect at some point. The two slopes are 1/1 and 1/3 if you weren't aware.
