Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
This shape is a 30-60-90 triangle, which means that the angles of the triangle are each 30°, 60° and 90°. Given that the measures of the angles of the triangle are known, as well as one side, we can find the measures of all the other sides (example attached). A 30-60-90 triangle is special because of the relationship of its sides. The hypotenuse (directly across from the 90° angle) is equal to twice the length (2x) of the shorter leg, in this case labeled 'x' and directly across from the 30° angle. The longer leg, across from the 60° angle, is equal to multiplying the shorter leg (x) by √3 or x√3.
Since the measure of the hypotenuse is given at 18, we can set the expression of that side equal to 18 and solve for x:
2x = 18 or x = 9
Answer:
All real numbers except for 5.
Step-by-step explanation:

The domain of rational functions is determined by the denominator. The denominator cannot equal zero since if they do, the function will be undefined.
Thus, we need to find the zero(s) of the denominator to determine the domain.


Therefore, the domain of the rational function is all real numbers except for 5.
In set builder notation, this is:

Answer:
Dist = 45 m/h * x h
Step-by-step explanation:
We know a speed is a measure of distance over time: speed = dist / time
In this case, we are looking for a distance expressed in terms of time.
So, we only need to modify the formula a bit: dist = speed * time
We don't know the time (which will be a variable), but we know their speed. So, the formula becomes:
Dist = 45 m/h * x h
Enter the number of hours in the formula and that will give you an approximation of the distance traveled within that time (approximation since our result will be rely on an average).
Answer:
-20p^5q^5
Step-by-step explanation:
20p^5q^5 that's your answer