The center of the dilation is the origin, and the scale factor is 2.
To find the coordinates of the points under this transformation, it is enough to multiply both coordinates of the points X, Y, and Z by 2.
Take a look at the dilation of point Z. To get to Z', both the x and y coordinate of Z must be multiplied by 2.
So, the coordinates are:
X'(8, 0); Y'(6, 4); Z'(4, -4).
Answer:
4
3
0
Step-by-step explanation:
f(x) = y = -1/2 × sqrt(x+3)
2y = -sqrt(x+3)
4y² = x + 3
x = 4y² - 3
now renaming this, so that the normal symbols and names are used for this function definition, so that the input variable is called "x" :
f-1(x) = 4x² - 3
basically, just by itself, this function would be defined for all possible real values of x.
but because it is the inverse of the original function, which generates only values of y<=0, then for the inverse function that same range applies for its input variable x
x<=0
Answer: 320 boys
Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)
720/9= 80
You would then take 80 and multiply it by 4 because that is the number representing the boys
80*4= 320
Answer:
Step-by-step explanation:
perimeter of rectangle=2(length+width)
=2(70+65)
=2*135
=270 feet
equation has infinitely many solutions has the same number on both sides of the equal sign
-3x -21 + x + 5 = -20x -16
-2x -16 = -20x -16
so either you have -18x on the left or +18x in the right