The answer is translation of 2 units left and a reflection over the x-axis.
The triangle is translated 2 units left because the triangle moved two units to the left and it is reflected over the x-axis because the bottom triangle is like a reflection of the original triangle.
Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
Answer:
Multiplication Symbols:
<u>1.</u><u> Times</u> ×
<u>2.</u><u> Dot</u> ⋅
<u>3.</u><u> Parentheses</u> ()
<u>4.</u><u> Variables next to each other</u> <em>ab</em>
Step-by-step explanation:
The symbols can be used like this...
Times: <em>a</em> × <em>b</em> = <em>c</em>
Dot: <em>a</em> ⋅ <em>b</em> = <em>c</em>
Parentheses:<em> </em>(<em>a</em>)(<em>b</em>) = <em>c</em>
Variables next to each other: <em>ab </em>= <em>c</em>
Answer:
The third one, y=x-3
Step-by-step explanation:
A linear equation is any equation that can be written in the form. ax+b=0. Meaning it will not have a radical or be squared.
When
, we have


and of course 3 | 6. ("3 divides 6", in case the notation is unfamiliar.)
Suppose this is true for
, that

Now for
, we have

so we know the left side is at least divisible by
by our assumption.
It remains to show that

which is easily done with Fermat's little theorem. It says

where
is prime and
is any integer. Then for any positive integer
,

Furthermore,

which goes all the way down to

So, we find that

QED