9514 1404 393
Answer:
d. 14 -3x
Step-by-step explanation:
If you want to substitute for y in the second equation, you must use the first equation to find an expression for y.
3x +y = 14 . . . . . . first equation
y = 14 -3x . . . . . . subtract 3x from both sides
This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.
y = 14 -3x . . . . matches D
Answer:
y = x - 4
Step-by-step explanation:
The line passes through (-1,-5) and (-3,-7)
The slope of a line is given by; change in y ÷ change in x
i.e slope =
=
= 1
Taking another point (x,y) on the line.
Slope will be;
= 1
Cross multiplying gives; y + 5 = x + 1
Simplifying this equation gives us the equation of our line which is;
y = x - 4
12 1/4 - 3 3/5 =
49/4 - 18/5 =
245/20 - 72/20 =
173/20 =
8 13/20
Answer:
Rocket can hold maximum 4.5 gallons of water.
Step-by-step explanation:
Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom
Volume of the cone = 
Here r = radius of the circular base
h = height of the cone
Volume = 
=
cubic inch
Volume of the cylinder = 
Here r = radius of the base
h = height of the cylinder
Volume = 
= 256π cubic inches
Volume of the rocket = 
= 
= 1038.82 cubic inches
Since 231 cubic inches volume of a rocket can hold water = 1 gallon
Therefore, 1038.82 cubic inches space can hold water
=
= 4.497
≈ 4.5 gallons
Rocket can hold 4.5 gallons of water.