Answer:
-5
Step-by-step explanation:
The last number is always the y intercept. This number is -5 in this case.
Answer:
46
Step-by-step explanation:
Let
represent a number with
in the ten's position and
is the one's position.
This means
actually has value of
.
We are given the sum of those digits of
is 10; this means
.
It says if 18 is added to the number
, then the result is
.
So
has value
and
has value
.
We are given then:


Subtract
on both sides:

Simplify:

Subtract
on both sides:


Divide both sides by 9:

Rearrange by commutative property:

So the system of equations we want to solve is:


-------------------------Add equations together (this will eliminate the variable
and allow you to go ahead and solve for
:


Divide both sides by 2:

Simplify:

If
and
, then
.
since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
If the blocks were 9 different colors, then there would be
9 !(factorial) = 362,880 different ways to line them up.
But for each different line-up, there are 5! =120 ways to arrange
the green blocks and you can't tell these apart, 2!= 2 ways to arrange
the white blocks and you can't tell these apart, and 2!=2 ways to arrange
the orange blocks and you can't tell these apart.
So the number of distinct, recognizable ways to arrange all 9 blocks
is
(9!) / (5! · 2! · 2!) = (362,880) / (120 · 2 · 2) = 756 ways.
Answer:
It's D. The narrative will change depending on the narrator's tone and point of view.
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
the line x + 5 is a mid segment of the triangle and thus is half the length of 3x - 1, that is
x + 5 =
(3x - 1)
multiply both sides by 2 to eliminate the fraction
2x + 10 = 3x - 1 ( subtract 3x from both sides )
- x + 10 = - 1 ( subtract 10 from both sides )
- x = - 11 ( multiply both sides by - 1 )
x = 11