Based on the given image, the coordinates of the pre image are:
A (-3,4)
B (-1,4)
C (1,1)
D (-5,1)
When you do a reflection in the line y = -x ; (x,y) coordinate becomes (-y,-x)
A (-3,4) → (-(4),-(-3)) → A' (-4,3)
B (-1,4) → (-(4),-(-1)) → B' (-4,1)
C (1,1) → (-(1),-(1)) → C' (-1,-1)
D (-5,1) → (-(1),-(-5)) → D' (-1,5)
I attached what the reflection will look like over line y = -x
3x + 1 = 6x - 4
-3x +4 -3x +4
5 = 3x
5/3 = x x is 5 divided by 3
Opposite sides must be parallel (arrows indicate this) and equal (set up and equation)
Answer:
36
Step-by-step explanation:
L=W+5
Area=LW
36=(W+5)W
36=W^2+5W
W^2+5W-36=0
(W+9)(W-4)=0
W-4=0
W=4 ANS. FOR THE WIDTH.
L=4+5=9 ANS. FOR THE LENGTH.
PROOF:
36=9*4
36=36
I hope this helped! ;)
Answer:
Therefore required expression is
y =462 - t×15
where y represents the amount of money in her bank account in dollar after t week.
Step-by-step explanation:
Given that,
Holly has $462 in her bank account and takes out $15 each week but does not put any back in.
She takes out $15 on first week.
The remaining amount of her bank account is =$(462-15)
=$(462 - 1×15)
If she withdraws $15 on second week.
The remaining amount of her bank account is =$(462-15-15)
=$(462 - 2×15)
Similarly after third the amount in her account is =$(462 - 3×15)
From the above it is cleared that
The amount in her account after t week is
=$(462 - t×15)
Therefore required expression is
y =462 - t×15
where y represents the amount of money in her bank account in dollar after t week.
Answer:
77
Step-by-step explanation:
The area of a rectangle is A = lw. 'A', the area, is 3927, and 'w', the width, is 51. By substituting the values in, we get that 3927 = 51L. Dividing both sides by 51, we get that L, the length, is 77.
