Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.
We have:
(x^2+1)(x^2-1)=x^4-1
In addition:
(x-1)(x+1)=x^2-1, so we have:
(x^2+1)(x+1)(x-1)
As our complete factorization.
Answer:
5/12 chance
Step-by-step explanation:
take the number of months that start with J and M over the number of months in the year.
34+50+50+50-60+22
You add everything except 60 because deposits mean add money to the account. You subtract 60 because a withdrawal is taking money out of the account. There are three 50s because you deposit $50 each day for 3 days.
Answer: The dimensions are 10 2/3 feet by 5 1/3 feet (Ten and two-thirds and five and one third).
Step-by-step explanation: This is our system of equations:y=Lengthx=Widthy=2x2x+2y=32We can substitute the y value in the second equation by plugging in the first equation: 2x+2(2x)=322x+4x=326x=32x=16/3 or 5 1/3We can plug in this x value into the first equation to find the y value:y=2(16/3)y=32/3 or 10 2/3
