Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,
Zinaida [17]
Answer:
The line of reflection is at y = x+6.
Step-by-step explanation:
The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...
y = 1(x +4) +2
y = x + 6 . . . . . . . line of reflection
Sqrt(486) - sqrt(24) + sqrt(6)
find the factors of 486 that we can remove from under the square root sign
2 * 243
2 * 3 * 81
2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)
Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)
Finally, add all 3 terms together
9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)
8 times square root of 6 is the final answer
Answer:
45
40 percent (calculated percentage %) of what number equals 18? Answer: 45.
Answer:
800(1+.08)^1
Step-by-step explanation:
As a number, half-gallon can be represented as 0.5.
In order to answer this question we will define each term:
whole numbers are numbers that can be defined as a <span>number without fractions which are greater or equal than 0. E.g. 2 0 1 5 6 85
</span>
integer numbers are numbers that can be defined as a number without fractions but which can be either equal to 0 or greater and lower than 0
E.g. -9 -68 8 0 59
rational numbers are any number that<span> can be expressed as a fraction p/q of two integers E.g. 0.5 = 1/2 1 = 1/1 1.25 = 5/4
</span>
irrational numbers are those which have an approximate value E.g. pi = 3.14...
√2 = 1.41.....
real numbers are all of the above
From all those kind of choices the most accurate representation is rational numbers.