Answer:
The image triangle NPQ is triangle KLM
Step-by-step explanation:
The vertices of triangle NPQ are at:
N(-7,-6), P(-4,-3) an Q(-4,-6).
The rule for the translation is:
This implies that:
Therefore triangle N'P'Q' has vertices at N'(1,-5),P'(4,-2), and Q'(4,-5)
This coincides with K(1,-5),L(4,-2), and M(4,-5)
Hence the image triangle NPQ is triangle KLM
Answer:
Option B is correct.
The expression which is equivalent to is;
Explanation:
Given the equation: for all values of n.
The quadratic equation in this form;
First find two numbers that multiply to give ac and add to give b.
From the given equation;
a =1 , b = 26 and c =88
then,
the two number that multiply to give ac =88 is, 22 or 4
and they add up to give b=26 (i.e 22+4)
Now, rewrite the middle term i.e 26n with 22n and 4n , we have
Now, factor the first two terms and last two terms,
we see that is common to both terms so, we have;
Therefore, the expression is equivalent to
Check:
(n+4)(n+22) = =
[ True]