<span>The number rounded all the way is 3,000. If you round to the hundreds you have to remove the units number which is 9, then you have to increase the tens number to 9, resulting 2,690. Next you have to remove the number 9 and increase the 6 to 7, obtaning 2,700. Finally, you remove the seven and have to incrase the number 2 to 3, to get 3,000. This is three thousdand. </span>
Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
On this exercise is asked to find the scale factor by which the triangle ABC was
dilated to produce the triangle A'B'C'.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
As can be see on the picture the dilation produce was an enlargement meaning that the image is larger that the preimage.
Of this form you can discard the choices A and B as possible solutions.
Lets try 5/2 as the possible scale factor:
(x,y)-- (kx, ky)
A(0,2)--(5/2(0),5/2(2))=A'(0,5)
B(2,2)--(5/2(2),5/2(2))=B'(5,5)
C(2,0)--(5/2(2),5/2(0))=C'(5,0)
Lets try 5/1 or 5 as the scale factor:
A(0,2)--(5(0),5(2))=A'(0,10)
B(2,2)--(5(2),5(2))=B'(10,10)
C(2,0)--(5(2),5(0))=C'(10,0)
As said at the beginning of the question the triangle was not only dilated.
After a dilation and a translation, the scale factor of the dilation is letter C or 5/2.
Answer:
1/9; 4/9; 1/12; 1/6
Step-by-step explanation:
the probability that both numbers are greater than 6 if the same number can be chosen twice--> 3/9 * 3/9 = 1/9
the probability that both numbers are less than 7 if the same number can be chosen twice --> 6/9 * 6/9 = 4/9
the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice --> 3/9 * 2/8 = 1/12
the probability that both numbers are even numbers if the same numbers cannot be chosen twice --> 4/9 * 3/8 = 1/6
Answer:
0; 10; 20
Step-by-step explanation:
x is the independent variable
y is the dependent variable
y is dependent on x
a) For what value of the independent variable will the value of the function be equal to −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Therefore, if the independent variable is 0, the value of the function will be -6.
b) For what value of the independent variable will the value of the function be equal to −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Therefore, if the independent variable is 10, the value of the function will be -3.
c) For what value of the independent variable will the value of the function be equal to 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, if the independent variable is 20, the value of the function will be 0.
