Bart and David are correct.
Bart
6x(1+2/3^3)
6x * 1 = 6x
6x *2/3^3 = 4x^3
6x * 4x^3
David
x(6+4x^2)
x*6 = 6x
x*4x^2 = 4x^3
6x+4x^3
Answer:
25
Step-by-step explanation:
The perimeter of triangle is equal to the sum of all sides of triangle
then:
5y + (x+8) + (x+3) = 60
5y + 2x +11 = 60
5y +2x = 49 ..............................................................(1)
the hypotenuse - shorter leg = 10
hint ( shorter leg ) = x+3
then
5y - (x + 3 ) = 10
5y - x - 3 = 10
5y - x = 13 .................................................... (2)
from 1 and 2
5y +2x = 49 .................................................................. (3)
5y - x = 13 (multiply both sides by 2 )
10y - 2x = 26 ..................................................................(4)
by sum 3 and 4
15y = 75
then y = 75/15 = 5
then hypotenuse = 5y = 5 x 5 = 25
The area of a sheet of plywood is:
A1 = (4) * (8)
A1 = 32 feet ^ 2
The area of the box is given by:
A2 = (16) * (8) + (2) * (16)
A2 = 160 feet ^ 2
The number of sheets of plywood is:
N = A2 / A1
N = 160/32
N = 5
Answer:
a carpenter will need 5 sheets of plywood to build the box.
C) 5
Answer:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Point Form:
(1,1,0)Equation Form:x =1 ,y =1 ,z =0
Step-by-step explanation:
Step-by-step explanation:
5x-2y=10
x-y=-1
Addition method
multiply the second equation by -2 and add it to the first one
5x-2y=10
-2x+2y=2
Total 3x=12
Divide by sides by 3
x=4
Now multiply the second equation by -5 and add it to the first one
5x-2y=10
-5x+5y=5
3y=15
Divide both sides by 3
y=5
Solutions are x=4 and y=5
2nd method
if x-y=-1, so x=y-1
bring the value of x in the first equation
5(y-1)-2y=10
5y-5-2y=10
put the similar term together
3y=15
Divide both sides by 3
y=5
now bring the value of y in one of the equation
x-y=-1
so x-(5)=-1
x=-1+5
x=4
Solutions are x=4; y=5
