Can anyone help me with this Midterm Advanced Algebra problem. (DONT ANSWER IF YOUR NOT SURE)

4.)
n^2+4n=32
--------------------------
Subtract 32 from each side
n^2+4n-32=32-32
n^2+4n-32=0
--------------------------
Factor left side of equation
(n-4)(n+8)=0
--------------------------
Now set the factors to equal 0
n-4=0
or/and
n+8=0
--------------------------
n=4 and/or n=-8
====================================================================
5.)
t^2-26t=56
Subtract 56 from each side
t^2-26t-56=56-56
t^2-26t-56=0
----------------------------
Factor left side
(t+2)(t-28)=0
--------------------------
Set factors equal to 0
t+2=0
or/and
t-28=0
t = -2 and/or t = 28
===================================================================
As you may have noticed you need to subtract to get 0 on the right side, then you factor the left side and then switch the symbols from the numbers. Negative to Positive and Positive to Negative. I'll keep provided the work for the next 3 or 4 questions
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6.)
z^2-14z=72
----------------
Subtract 72 from each side
z^2-14z-72=72-72
z^2-14z-72=0
----------------
Factor left side
(z+4)(z-18)=0
----------------
Set factors equal to 0
z+4=0 or z-18=0
Invert
z = -4 and z = 18
===================================================================
7.)
80+a^2=18a
-------------------------
Simplify
a^2+80=18a
------------------------
Subtract 18a from each side
a^2+80-18a=18a-18a
a^2-18a+80=0
------------------------
Factor left side
(a-8)(a-10)=0
-----------------------
Set factors to equal 0
a-8=0 or a-10=0
Invert
a = 8 and a = 10
===================================================================
8.)
u^2=16u+36
--------------------------
Subtract 16u+36 from both sides.
u^2-(16u+36)=16u+36-(16u+36)
u^2-16u-36=0
--------------------------
Factor left side
(u+2)(u-18)=0
--------------------------
Set factors to 0
u+2=0 or u-18=0
Invert
u = -2 and u = 18
====================================================================
9.)
3h^2+6h=105
--------------------------
Subtract 105 from each side
3h^2+6h-105=105-105
3h^2+6h-105=0
--------------------------
Factor left side
3(h-5)(h+7)=0
--------------------------
Set factors to equal 0
h-5=0 or h+7=0
h = 5 and h = -7
===================================================================
10.)
a^2+14a=-45
---------------------------
Subtract -45 from each side
a^2+14a-(-45)=-45-(-45)
a^2+14a+45=0
--------------------------
Factor left side
(a+5)(a+9)=0
-------------------------
Set factors to equal 0
a+5=0 or a+9=0
Invert
a = -5 and a = -9
===================================================================
12.)
w=5 and w=6
===================================================================
13.)
k=6 and k=-9
===================================================================
14.)
h=5 and h=12

7 0

4 years ago

Can u help solve this problem

Digiron [165]

Answer:

45in³

Step-by-step explanation:

6 x 5 x 3 = 90/2 = 45in³

4 0

3 years ago

Read 2 more answers

Two sides of a rectangle are 10 and 6cm each. Calculate the area of a square with the same perimeter as that of the rectangle

KengaRu [80]

Answer: 64 cm ²

Step-by-step explanation:

The perimeter of this rectangle will be:

= 2 * Length + 2 * Width

= 2 * 10 + 2 * 6

= 20 + 12

= 32 cm

The square has the same perimeter. Squares have 4 equal sides so each side of the square must be:

= 32 / 4

= 8 cm

Area = Length * Width

= 8 * 8

= 64 cm ²

4 0

3 years ago