Answer:
3xy - xz, or x(3y - z)
Step-by-step explanation:
2x(y-z)+x(y+z) becomes
2xy - 2xz)+ xy + xz)
combining the xy terms, we get 3xy;
combining the xz terms, we get -xz
Thus, the complete simplified expression is 3xy - xz, or x(3y - z)
Answer: 28/32 but converted its 7/8. My work is kinda messy sorry. But this is my work.
The answer to this question:
<span>north and south sides 16ft
east and west sides 8ft
</span>
In this question, the east and west fencing cost is $4/ft but the south and north fencing cost is $2/ft. The cost is cheaper for fencing north and south side which cost half of the east and west side. The perimeter is made by adding the south, north, east and west side.
If x = north and south fencing and y= is east and west side, then you can get this equation
cost= (south+north) * $2 + (east+west)*$4
128=(x+x) * 2 + (y+ y) * 4
128= 4x + 8y
32= x+ 2y
x= 32-2y
The area is count by multiplying the width and length, which was x and y in this question. The formula should be:
area= length * width
area= x * y
area= (32-2y) * y
area= 32y - 2y^2
Then, you need to find the value of y needed for the maximum area.
32y- 2y^2
32 - 2*2y=0
32= 4y
y= 8
If y=8 then
x= 32-2y
x= 32- 16= 16
Answer:
x = 10
, y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° =
, sin60° =
, then
cos60° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
and
sin60° =
=
=
( cross- multiply )
2y = 20
×
= 20
( divide both sides by 2 )
y = 10
Answer:
yard = 3 inch = 2.54
Step-by-step explanation:
I used a calculator