Answer:
(41/12)g+-23/12
Step-by-step explanation:
3(5g−1)
/4 - (2g+7)/6
(15g-3)/4 - (2g+7)/6---> distributive property
3(15g-3)/12 - 2(2g+7)/12--->make the denominators same
(45g-9)/12 - (4g+14)/12---distributive property
Sorry for bad handwriting, while there are other ways to do this, if you can just know how to simply find the legs from the two points it is very simple!
Answer:
163
Step-by-step explanation:
10(10)+9(7)=
100+63=163
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3
x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1
-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===
-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===
x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==
so x = 0, y = 1, and z = 1
GIVEN:
total length of the banner = 30 ft.
perimeter of the banner = 96 ft.
total width of the rectangle = ?
Let,
the perimeter be "p"
the length be "L"
the width be "w"
We know,
Perimeter (P) of a rectangle = 2 (L + w)
Substituting the values of P, L and w , we get,
96 = 2 (30 + w)
96 / 2 = 30 + w
48 = 30 + w
48 - 30 = w
18 = w
So, the width of the rectangular banner is 18 ft.
