1.B - - original function is y = sqrt(x). If we make sqrt(x+4), we will move the original function to the left 4. If we make sqrt(x+4)+3, additionally the original function will be moved up 3.
2.D - original function is y = sqrt(x). If we make sqrt(x-7), we will move the original function to the right 7. If we make 5*sqrt(x-7), additionally the original function will be expanded throw the y-axis.
3.E - original function is y = x^5. If we make -x^5 (multiply x^2 by -1), we will reflect the original function over the x-axis. If we make -x^5 - 4 , we additionally will move the original function down 4.
4.C - original function is y = x^2. If we make (x-3)^2, we will move the original function to the right 3. If we make x^2 - 5 , we will move the original function down 5.
5.A - original function is y = x^2. If we multiply x^2 by 1/3, function will be compressed about the y-axis.
Answer:
The slope is 2
Step-by-step explanation:
Using slope formula (y2-y1)/(x2-x1):
(8-2)/(9-6)
(6)/3
2
Answer: Last option.
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
By definition, given a Right triangle, if you draw an altitutde from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you have the Right triangle 
given in the picture attached.
You can notice that 
goes from the vertex of right angle (
) to the hypotenuse 
. Therefore, it divides the hypotenuse into two segments. These are:
and 
Therefore, is the geometric mean of the segments and .
I guess its 40 meters since
Area of a square is (Length)^2
and The area is 100, so square root that and you get your length which is 10 meters.
and since perimeter is the sum of lengths of sides, and a square has 4 sides, your perimeter is 40 meters! :)
