9514 1404 393
Answer:
(6,2)
Step-by-step explanation:
As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.
When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...
X' = (6, 2)
_____
<em>Additional comment</em>
X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...
X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)
(4x+3y=-13) * 2
(-5x+2y=-24)*3
_____________
8x+6y=-26
-
-15x+6y=-72
___________
23x=46
X=2
Answer:
104
Step-by-step explanation:
This is not a distributive property question though.
A distributive property has a number (a) outside the parenthesis
a(b+c)
so in this case a(40+64)
then you would multiply a by both numbers
40a+64a
then add them together
104a
However if it is a number outside the parenthesis and not a variable, it will come out different
For example
5(40+64)
(5*40)+(5*64)
200+320
520
Hope this helps!
Answer:
x - intercept = 6
y - intercept = 3
Step-by-step explanation:
To find x - intercept, substitute y = 0 in the equation and solve for x.
x = 6
Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.
y = 3
Answer:
The probability of the flavor of the second cookie is always going to be dependent on the first one eaten.
Step-by-step explanation:
Since the number of the type of cookies left depends on the first cookie taken out.
This is better explained with an example:
- Probability Miguel eats a chocolate cookie is 4/10. The probability he eats a chocolate or butter cookie after that is <u>3/9</u> and <u>6/9</u> respectively. This is because there are now only 3 chocolate cookies left and still 6 butter cookies left.
- In another case, Miguel gets a butter cookie on the first try with the probability of 6/10. The cookies left are now 4 chocolate and 5 butter cookies. The probability of the next cookie being chocolate or butter is now <u>4/9</u> and <u>5/9</u> respectively.
The two scenarios give us different probabilities for the second cookie. This means that the probability of the second cookie depends on the first cookie eaten.
