If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
Answer:
∠2 = ∠3 is a pair of Vertical Angles.
Step-by-step explanation:
Whenever two lines intersect with each other, the angle formed between them is called Vertically Opposite Angle.
Here, line l intersects the traversal so,
the angle formed between them ∠1 and ∠4 are vertically opposite.
So, ∠1 = ∠4
Also, as ∠1 + ∠3 = ∠2 + ∠4 = 180° (LINEAR PAIRS)
So, ∠3 = ∠2 are also vertical angles.
Answer:
B
Step-by-step explanation:
The y-intercept is 2 and the slope is 1. Therefore, the answer is 2y=x. :)
Answer:
p - 14.5 = 53
Step-by-step explanation:
The original price is p.
The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.
The discounted price is $53
Equation:
p - 14.5 = 53
Answer:
13 yds * 32 yds
Step-by-step explanation:
A=area, l=length, w=width
A=w*l
l=6+2w
A=w*(6+2w)
A=6w+2w^2
416=6w+2w^2
416/2=(6w+2w^2)/2
208=3w+w^2
208-208=3w+w^2-208
w^2+3w-208=0
w^2+16w-13w-208=0
w(w+16)-13(w+16)=0
(w-13)(w+16)=0 ==> w+16=0 ==> w=-16, w can't be negative.
w-13=0
<u>w=13</u>
l=6+2w
l=6+2(13)
l=6+26
<u>l=32</u>
Dimensions: 13 * 32
