Consider triangle XYZ with vertices at points X(1,-3), Y(3,0) and Z(-1,-1). If triangle XYZ is reflected across the line y = 1, then the rule of reflection is
(x,y)→(x,-y+2).
The image X' of point X will have coordinates according to the given rule:
X(1,-3)→X'(1, -(-3)+2)=X'(1,5).
Answer: correct choice is D.
Answer:
DE=10
Step-by-step explanation:
equation:
18=4x+(14x-18)
18=18x-18
36=18x
x=2
14(2)-18
28-18=10
Answer: 5 gallons
Step-by-step explanation: the gallons are in decimal points. 1/2 + 1/2 + 2 + 1 = 5. the .05 and 1/2 are the same thing. the .5 + .5 equals 1
Answer:
In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as .
Step-by-step explanation:
- In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.
- It is required to write 154,500,000 in scientific notation.
- To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.
- Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.
Step 1 of 2
Obtain the scientific notation.
Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .
Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,
1.54500000
The count of the number of decimal places the point was moved is 8 .
Write as a product with a positive power of 10 .
Step 2 of 2
Check the answer.
Rewrite and simplify to check our answer.
38.5 / 1.25 = 30.8 or 77/2 divide by 5/4 = 154/5 = 30.8
so, the unit rate is 30.8