Answer:
72 dollars
Step-by-step explanation:
We can write this as a ratio
28 kg 36 kg
------------ = ---------------
56 dollars x dollars
Using cross products
28x = 56*36
Divide each side by 28
28x/28 = 56*36/28
x =72
2a^2+4a+1 is equivalent to 4a+4/2a*a^2/a+1
Answer:
12 possible outcomes
Step-by-step explanation:
If she's spinning them at the same time, this is how you do it:
There are 3 possible outcomes on the first spinner- Walk, Run, and Stop.
There are 4 outcomes on the second spinner- Red, Green, Blue, and Orange.
Since they're being spun at the same time, we need to consider all of the possible combinations, for example:
Walk & Red.
Walk & Green.
Walk & Blue.
Walk & Orange.
And so on. Each outcome on the first gets multiplied by 4, since there are 4 sections on the 2nd spinner. Same thing if you did it and switched- the 4 sections on the second spinner would each have 3 different outcomes.
In conclusion, you'd just multiply 3×4, and there you go. Or, you can think of it as 4+4+4, if that's a little easier to understand.
Remember:
a) (x,y) => (x, -y) is a reflection across X axis
b) (x,y) => (-x,y) is a reflection across Y axis
Here △RST is mapped to △R′S′T′ using the rule (x,y)→(x,−y)
Hence it is a reflection across X axis.
The size of the triangle does not alter.
But when this is followed by (x,y)→(3x,3y), the lengths increase by a factor 3.
Hence the triangles do not remain congruent.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Option A) is the right answer
