Answer:
8 inches
Step-by-step explanation:
Let w represent the width.
If the length is 14 inches longer than the width, it can be represented by w + 14.
Use the perimeter formula, p = 2l + 2w. Plug in 60 as the perimeter and w + 14 as l, then solve for w:
p = 2l + 2w
60 = 2(w + 14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
8 = w
So, the width is 8 inches
Answer:
The volume of given cone is 602.88 cube units
Step-by-step explanation:
<u>Formula:</u>
Volume of cone, V = πr²h
r - Radius of cone
h - height of cone
<u>To find the volume</u>
Here, r = 4 and h = 12
Volume V = πr²h
V = 3.14 *4²*12
V = 3.14*4*4*12
Volume V = 602.88
Therefore the volume of given cone is 602.88 cube units
Answer:
Given,
f(x)=x^2+6
g(x)=2x-1
Now,
g[f(x)]=g(x^2+6) since f(x)=x^2+6
=2(x^2+6)-1 since x > x^2+6
=2x^2+12-1
=2x^2+11
Answer:
(2, -7)
x = 2
y = -7
Step-by-step explanation:
Let's solve this system of equations by elimination.
Start by multiplying the first equation by 2:

Next, multiply the second equation by 3:

Notice that both equations now have a "6y", meaning we can subtract both equations and thereby eliminating the variable "y" from the equation:

Divide both sides by 23

Substitute 2 for "x" to solve for "y".

Subtract 8 from both sides:

Divide both sides by 3:

Therefore the answer is:

Additional Comments:
Note that we can only divide, subtract, multiply, or add both sides of the equation by the same quantity due to the Division, Subtraction, Multiplication, or Addition Property of Equality. These properties state that if you divide/subtract/multiply/add one side of the equation by one quantity, you must do the same to the other side of the equation so that it remains an equation.