Answer:
Original number is 86
Step-by-step explanation:
Original: 10x + y
Double reversed: 2(10y + x)
Constraints:
x + y = 14 ===> x = 14 - y
2(10y + x) + 10x + y = 222 ===> 21y + 12x = 222
Substitution to find y:
21y + 12x = 222
21y + 12(14 - y) = 222
21y + 168 - 12y = 222
9y + 168 = 222
9y = 54
y = 6
Substitution to find x:
x = 14 - y
x = 14 - 6
x = 8
Original: 10x + y
10(8) + (6)
80 + 6
86
By working backwards,
<span>you get 76 as your answer because you have to remove the rightmost digit, right? so the three-digit number is </span>
<span>76x </span>
<span>(x stands for the rightmost digit, because we don't know what the rightmost digit is) </span>
<span>we are told we have to add six to the three digit number to get 76x, so we have to subtract 6 from 76x: </span>
<span>76x - 6 = ??? </span>
<span>since we assume that the original two-digit number is NOT 76, and any number from 760 to 765 inclusive minus 6 is logically in the 750-range, we can conclude that the original two-digit number is 75. </span>
Y=2x-7
therfor we can SUBSITUTE 2x-7 for y whereever we see y in the other equation
3x-2(2x-7)=9
3x-4x+14=9
-x+14=9
minus 14 both sides
-x=-5
mulitly -1
x=5
sub back
y=2x-7
y=2(5)-7
y=10-7
y=3
(5,3)
Answer:
1/2
Step-by-step explanation:
the dilation factor should be 1/2
- if u count the dots on the sides of the preimage there are 2 dots that's the length
- if u count the dots on the real image it's 4
- therefore 2/4 to it's lowest term is 1/2
- so 1/2 is the scale factor