Answer:
(x - 3, y + 2)
Step-by-step explanation:
When we are translating up/down, we move <em>y</em>.
When we are translating left/right, we move <em>x</em>.
Therefore, if we are moving up 2 and left 3:
Up = +2 to <em>y</em>
Left = -3 to <em>x</em>
(x - 3, y + 2)
Answer:
44 years
Step-by-step explanation:
The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?
Let Michael age = x , Leah = y
x+ y = 71 ....... ..(1)
10 year ago
Michael = x -10
Leah = y - 10
Michael = 2×leah
x - 10 = 2(y-10)
x - 10= 2y - 20
x - 2y = -20+10
x - 2y = -10 ...........(2)
x + y = 71 ......... (1)
Solve simultaneously using elimination method, subtract 1 from 2
-2y - y = -10-71
-3y = -81
Divide both sides by -3
y = -81/-3
y =27
x+y = 71
Put y =27
x+27= 71
x = 71 -27
x =44 years
Therefore Michael is 44years
I hope this was helpful, please mark as brainliest
Answer:
<h2>QR = 15</h2>
Step-by-step explanation:
If PQRS is parallelogram, then SP = RQ. Therefore we have the equation:
5z + 3 = 6z - 3 <em>subtract 3 from both sides</em>
5z = 6z - 3 <em>subtract 6z from both sides</em>
-z = - 3 <em>change the signs</em>
z = 3
QR = 6z - 3
Put the value of z to the expression:
QR = 6(3) - 3 = 18 - 3 = 15
The mutiple of 15 is 60. Factors of 15 include 3 and 5; multiples of 15 include 30, 45, 60, ecetera.
