Answer:
300,350,400,450
Step-by-step explanation:
the formula for any n term is:
tn=a1+(n-1)d
t1= 300+(1-1)d=300
t2= 300+(2-1)50= 350
t3= 300+(3-1)50= 400
t4= 300+(4-1)50 = 450
and so on...
Rewrite the given equation as
.
Since
, you can conclude that the imimum value of y will be gained for the minimum value of
. The minimum value of
is 0 for x=2.
So, y(2)=0+4=4.
Answer: minimum value of y is 4, when x=2.
(100-9^2)/3
PEMDAS: parenthesis, exponents, multiply, divide, add, subtract
Lets' work on the parethesis first.
100-9^2
We can do the exponent first, 9^2=81, so 100-81=19
Then we divide and 19/3 is your final answer.
<h3>
Answer: Choice B</h3>
Use a rigid transformation to prove that angle NPO is congruent to angle NLM
=====================================================
Explanation:
The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.
The second pair of angles could either be
- angle NOP = angle NML
- angle NPO = angle NLM
so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.
Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.
We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.
Answer:
=2*3^2 *7
Step-by-step explanation:
Prime factorization means to simplify 126 down to prime numbers
126 = 2*63
= 2* 9*7
= 2*3*3*7
Since 2 3 and 7 are prime numbers, we rewrite these with exponents
=2*3^2 *7