Answer:
Option B, - 7 + 12 = 5
Step-by-step explanation:
As you can see, the up line starts from the point 0 and it goes back by seven (- 7). Then from negative seven, it took 12 steps forward to zoom to positive 5 (+ 5). So + 5 is the last result of the process. It took 12 steps forward.
So with these statements kept in mind. Look at the options that would be described by these.
Let's start by this statement: "So + 5 is the last result of the process."
Option B and D only seem to have + 5 as the result.
Next statement: "Then from negative seven, it took 12 steps forward to zoom to positive 5 (+ 5)"
<em>Option B</em> is the most logical answer that is described by the statement.
From negative seven (-7) it took twelve steps forward (+ 12) to positive 5
(= 5)
Cos
θ
=
√
5
3
or it could be cos
θ
=
√
5
−
3
Explanation:
Since sin
θ
is negative, it can be in the third or fourth quadrant
Drawing your right-angled triangle, place your
θ
in one of three corners. Your longest side will be 3 and the side opposite the
θ
will be -2. Finally, using Pythagoras theorem, your last side should be
√
5
Now, if your triangle was in the third quadrant, you would have
cos
θ
=
√
5
−
3
since cosine is negative in the third quadrant
But if your triangle was in the fourth quadrant, you would have
cos
θ
=
√
5
3
since cosine is positive in the fourth quadrant
A point in quadrant 4 could be (-4,-2)<span />
Answer:
Step-by-step explanation:
The given quadratic expression is
3x² - 9x + 6
Dividing each term in the expression by 3 in order to simplify it further, it becomes
x² - 3x + 2 = 0
We would determine two numbers such that their sum or difference is -3x and their product is 2x².
The two numbers are - 2x and - x.
Therefore,
x² - 2x - x + 2
x(x - 2) - 1(x - 2)
(x - 1)(x - 2)
When the expression is factored completely, it is equivalent to
(x - 1)(x - 2)
Answer:
x=6t+9 y=-8-1
Step-by-step explanation:
