Hello,
Adding the 2 equations,
x+y+x-y=k+k ==>2x=2k==>x=k
if x=k, y=k-k=0
solution is (k,0)
Answer:
16 lawns
Step-by-step explanation:
set up a proportion:
(4/5 ÷ 1) = (x÷20)
cross-multiply:
5x = 80
x = 16
Okay I will have an example for you. 3 and 2/7. STEP 1) multiply the denominator by the whole number. 3×7=21. STEP 2) add the numerator to 21. 21+2=23. STEP 3) 23 is the new numerator so put 23 over 7. FINAL SOLUTION 23/7.
Answer:
there is none
Step-by-step explanation:
Given that △XYZ is mapped to △X'Y'Z' using the rules (x, y)→(x+5, y−3) followed by (x, y)→(−x, −y) .
We know that (x,y) => (x+h,y+k) type operation represents translation so rule (x, y)→(x+5, y−3) will cause translation.
We know that (x,y) => (-x,-y) type operation represents rotation about origin so rule (x, y)→(−x, −y) will cause rotation.
So combining both results and comparing with given choices. we find that only 1st choice "△XYZ is congruent to △X'Y'Z' because the rules represent a translation followed by a rotation, which is a sequence of rigid motions."
is correct.