X=12 because 73-3x=61-2x so add 3x to both to make 73=61+X then subtract 61 from both to get 12=X
Answer:
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Answer:
Volume= 216 cubic yards
Surface area: 276 square yards
Step-by-step explanation:
Find volume of rectangular prism:
V= lxwxh
V= 3x18x4
= 216 cubic yards
Find surface area:
SA= 2 x (front/back area) + 2 x (right/left area) and 2 x ( bottom/top area)
Front and Back Area:
A= l x w
A = 18 x 3
= 54 square yards
Right/ left Area:
4 x 3
= 12 square yards
Top/ Bottom Area:
18 x 4
= 72 square yards
54^2+12^2+72^2
= 108+24+144
=276 square yards
Answer:
y=-1/5x-16/15
Step-by-step explanation:
slope intercept form y=mx+b
3x+15y=-16
15y=-3x-16 divide both sides by 15
y=-3/15x-16/15 simplify -3/15 to -1/5
y=-1/5x-16/15
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
