The answer is 2(8x+6y+11)
Answer:
x²y² - z²
Step-by-step explanation:
Note that
(xy + z)(xy - z) are the factors of a difference of squares
a² - b² = (a + b)(a - b)
here a = xy and b = z, thus
(xy + z)(xy - z) = (xy)² - z² = x²y² - z²
So legnt=l
width=w
l=-7+3w
l=3w-7
area=66
area=legnth times width or
area=lw
subisutte
area=lw
l=3w-7
66=(3w-7)(w)
66=3w^2-7w
subtrac 66 from both sides
0=3w^2-7w-66
factor
HOW TO
multiply 3 and -66=-198
find what 2 numbers add up to -7 and multiply to get -198
the numbers area 11 and -18
so
3w^2-18w+11w-66=0
factor
(3w^2-18w)+(11w-66)=0
(3w)(w-6)+(11)(w-6)=0
factor using distributive (ab+ac=a(b+c))
(3w+11)(w-6)=0
set them to zero
3w+11=0
subtract 11
3w=-11
legnths cannot be negative so we discard this
w-6=0
add 6
w=6
width=6
legnth=3w-7
length=3(6)-7
legnt=18-7
legnth=11
width=6
legnth=11
Answer:
2.4 cm.
Step-by-step explanation:
See the given diagram of two similar triangles one with actual dimensions and the other drawn on paper with a certain scale.
The ratio of corresponding sides of two similar triangles is always the same.
Now, 1.5 cm on the drawing is equivalent to 2.5 m i.e. 250 cm. in actual dimension.
So, 4 m i.e. 400 cm in actual dimension will be equivalent to
cm. in the drawing. (Answer)