Answer:
2x'2-3x-12
Step-by-step explanation:
(x-4) (2x+3)
2x'2 + 3x-6x-12
2x'2-3x-12
* this " '2 is squared
Answer:
Rode most in May, 133.2 miles
Rode least in March, 16.65
133.2 - 16.65 = 116.55
8 x farther
Step-by-step explanation:
Answer:
See attachment for plot
Step-by-step explanation:
Given

--- increment in the rate
First, we need to model the new rate
A linear equation is:

Where

Compare
and
. we have:

The above represents the previous rate.
The new rate:

Rewrite as:



So, the model is:


<u>The plot at 1 and 2 minutes</u>
When 

When 

So, we have:


<em>Whether she moves backwards or forward, the distance covered remains the same</em>
<em>See attachment for plot</em>
Answer:

Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that

And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have


( ABCD is parallelogram so AD=BC)
( BC= BE+EC)


( subtracting 1 from both side )

taking reciprocal both side
