Answer:
A' = (- 5, - 1)
Step-by-step explanation:
The coordinates of point A = (- 6, 2)
Under the translation (x + 1, y - 3)
Add 1 to the x- coordinate of A and subtract 3 from the y- coordinate of A
A' = (- 6 + 1, 2 - 3) → A' = (- 5, - 1)
Answer:
5^20
Step-by-step explanation:
For each comic book, there are five different choices for which kid will receive that comic book. 20 decisions are made, one for each comic book with five different possibilities for each choice. The number of ways to distribute the comic books to the five kids is 5^20.
The length of diagonal is 150 meters
<em><u>Solution:</u></em>
Given that soccer field is 90 meters wide and 120 meters long
The coach asked the players to run from corner to corner diagonally across
To find: length of diagonal
The figure is attached below
Let ABCD be a rectangle with BD as diagonal
From given,
length = DC = 120 meters
width = BC = 90 meters
The diagonal and two sides of rectangle forms a right angled triangle with diagonal as hypotenuse
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, for right angled triangle DCB
Taking square root on both sides,
Thus length of diagonal is 150 meters
Answer:
Option d: $0
Step-by-step explanation:
Parking penalties arent deductible from expenses, so Andrew cant deduct neither the 250 for his delivery van nor the 75 for the rock concert. Dui tickets definetely arent deductable from expenses, so Andrew cant deduct the 500 from the ticket either. That gives us only 2 options: Andrew can deduct $600 (if he is able to deduct from attoeney's fee), else he cant deduct anything.
However, the attorney's fee shoudn't be deductible, because as a general rule, personal legal fees are not deductible. So the answer is option d, $0
Answer:
The system of equations 8x-3y=10 and 16x-6y=22 has no solution
Step-by-step explanation:
When both of the above equations are put into standard form, you get ...
8x - 3y = 10
8x - 3y = 11
This is an "inconsistent" pair of equations. There are no values of x and y that can satisfy both equations, hence there is no solution.
