Find the Greatest Common Factor (GCF)
GCF = 4
Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)
4(16w^4/4 + 16w^2/4 - 140/4)
Simplify each term in parenthesis
4(4w^4 + 4w^2 - 35)
Split the second term in 4w^4 + 4w^2 - 35 into two terms
4(4w^4 + 14w^2 - 10w^2 - 35)
Factor out common terms in the first two terms, then in the last two terms.
4(2w^2(2w^2 + 7) - 5(2w^2 + 7))
Factor out the common term 2w^2 + 7
<u>= 4(2w^2 + 7)(2w^2 - 5)</u>
Answer:
x is greater than 30
x is greater than or equal to 31
Step-by-step explanation:
any number above 30 works
Answer:
y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)
m = 
= 
= 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )
Ok so R=alfonso's rate
w=wind rate=4
d=rt
with wind rate is R+4
agaoins wind rate is R-4
with wind distance is 34
against is 18 miles
time is same
34=(r+4)t
18=(r-4)t
34=(r+4)t
divide both sides by (r+4)
34/(r+4)=t
18=(r-4)t
divide both sides by (r-4)
18/(r-4)=t
18/(r-4)=t
34/(r+4)=t
set equal to each other
18/(r-4)=34/(r+4)
multiply both sides by (r-4)(r+4)
18(r+4)=34(r-4)
distribute
18r+72=34r-136
subtract 18r from both sides
72=16r-136
add 136 to both sides
208=16r
divide both sides by 16
13mph
answer is 13mph with no wind
The area of a square is expressed as the length of the side to the power of two, A = s^2. We were given the area of the enlarged photo which is 256 in^2. Also, it was stated that the length of the enlarged photo is the length of the original photo plus ten inches. So, from these statements we can make an equation to solve for x which represents the length of the original photo.
A = s^2
where s = (x+10)
A = (x+10)^2 = 256
Solving for x,
x= 6 in.
The dimensions of the original photo is 6 x 6.
