Answer:
(2,12)
Step-by-step explanation:
Original point is given as (2,-4) and the image point is give as (-3,6).
How do we get from x=2 to x=-3? We move left 5 units from x=2.
How do we get from y=-4 to y=6? We move up 10 units from y=-4.
So let's do this translation to the point (7,2)
Starting at x=7 we move left 5 units to get x=7-5=2.
Starting at y=2 we move up 10 units to get y=2+10=12.
The new point is (2,12)
Ok 2/3 / 1/8 = 2/3 *8 = 16/3. 16/3 is 5.33 which is 5 and a third of a container which is counted in this so 6 is the answer
9514 1404 393
Answer:
- The are congruent.
- They are non-adjacent.
Step-by-step explanation:
Where a transversal crosses parallel lines, the angles outside the parallel lines are called exterior angles. When they are on opposite sides of the transversal, they are <em>alternate exterior angles</em>.
Alternate exterior angles are congruent.
The share a side (the transversal, but not a vertex. So they are non-adjacent.
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<em>Additional comment</em>
In this geometry, <em>corresponding</em> angles are congruent. Of course, vertical angles are always congruent. Each alternate exterior angle is a vertical angle with one that is corresponding to the other alternate exterior angle.
Answer:
The quadratic equation has two complex solutions
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
Equate to cero
so
substitute in the formula
Remember that

so
therefore
The quadratic equation has two complex solutions