Answer:
x = 
Step-by-step explanation:
5(x-2)^2= 15 ←add 29 on both sides
(x-2)^2= 3 ← divide by 5 on both sides
x-2=
← find the sq root of both sides
x=
← add 2 on both sides
If youknow the diameter of the circle, then
Circumference = (π) x (Diameter).
If youknow the radius of the circle, then
Circumference = (π/2) x(radius).
If you know the area of the circle, then
Circumference= 2 √ (π A) .
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(-
) = 27( -
)³ - a(-
) - (-
) + 3 = 0, that is
27 (-
) -
a +
+ 3 = 0
- 1 -
a +
= 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
Answer:
0
Step-by-step explanation:
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches