Answer:
The correct option is;
(-2, 213) and (2, -213)
Step-by-step explanation:
The reflection of a point across the x-axis is given as follows;
The coordinates of the point of the pre-image = (x, y)
The coordinates of the point of the image after reflection = (x, -y)
The reflection of a point across the y-axis is given as follows;
The coordinates of the point of the pre-image = (x, y)
The coordinates of the point of the image after reflection = (-x, y)
Therefore, from the given points, The reflection across the y-axis of the point (-2, 213) is (2, 213) and the reflection across the x-axis of the point (2, 213) is (2, -213)
The 28 oz bottle because you get more product for close to the same price.
<u>Answer:</u>
C = 145.4°
By creating a system of equations (2 equations) with the information from a problem, we can substitute and solve for the missing variables.
<u>Step-by-step explanation:</u>
Linear pairs are found on a straight line, so they total to 180°.
C + D = 180 ......eq'n [1]
C is seven more than four times D can be represented with this equation:
C = 4D + 7 ........eq'n [2]
We can solve by <u>substituting [2] into [1]</u>, replacing "C".
C + D = 180
4D + 7 + D = 180
Collect like terms
5D + 7 = 180
Subtract 7 from both sides
5D = 173
Divide both sides by 5
D = 173/5
As a decimal, D = 34.6°.
Using eq'n [2], find C. Substitute the value of "D". Solve.
C = 4D + 7
C = 4(173/5) + 7
C = (692/5) + 7
C = (692/5) + (35/5) Find a common denominator.
C = (692+35)/5 Combine into numerator.
C = 727/5
As a decimal, C = 145.4°.
Answer:
8!=40320
Step-by-step explanation:
SInce their are 8 athletes and 8 positions we can assume this: The first sprinter has 8 positions to end in, the next has 7 places to finish in, the third has 6 places and so on... Using this we can multiply these possibilities to find that the possibilities are 8×7×6×5×4×3×2 which results in 40320 (this function is known as a factorial and denoted !).
