First find the new coordinates for P and Q after the translations:
P'(2 + 3, 4 - 4) = P'(5, 0)
Q'(-3 + 3, 2 - 4) = Q'(0, -2)
Now, find the slope from this:
(0 - (-2))/(5 - 0) = 2/5
The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.
Distance = Speed × Time
Distance = (4.5 mi)/(0.75 h) × (3.5 h) = 21 mi
The walker will cover 21 miles in 3.5 hours at that pace.
9514 1404 393
Answer:
y = -1
Step-by-step explanation:
Sides marked with the same marking are congruent, so we have two equations:
Adding the equations gives ...
5x = 25
x = 5 . . . . . . divide by 5
Then the second equation tells us ...
y = 9 -2x = 9 -2(5) = -1
The value of y is -1.
a+b+c=0
[(a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc]
[a^2+b^2+c^2+2ab+2ac+2bc=0]
[a^2+b^2+c^2=-(2ab+2ac+2bc)]
[a^2+b^2+c^2=-2(ab+ac+bc)] (i)
also
[a=-b-c]
[a^2=-ab-ac] (ii)
[-c=a+b]
[-bc=ab+b^2] (iii)
adding (ii) and (iii) ,we have
[a^2-bc=b^2-ac] (iv)
devide (i) by (iv)
[(a^2+b^2+c^2)/(a^2-bc)=(-2(ab+bc+ca))/(b^2-ac)]
Hello! My work for this problem is attached below. The answer is
Vb = 4Va
