ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :

We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.

This simplifies to,


Hence the image is (2,2)
X+y+5=0
y=-x-5
If a solution exists y=y so we can say
x^2-9x+10=-x-5 add x+5 to both sides
x^2-8x+15=0 now factor
x^2-3x-5x+15=0
x(x-3)-5(x-3)
(x-5)(x-3) so x=3 and 5, using y=-x-5
y(3)=-8 and y(5)=-10
So the two solutions are:
(3,-8) and (5,-10)
Answer:
-24
Step-by-step explanation:
Since only one of the factors has a negative sign, the product will be negative.
4 · (-6) = <u>-24</u>
Answer:
longitudinal profile depicts the changes in elevation as a function of distance
Step-by-step explanation:
Hope this helps :)
∠5 and ∠1 are congruent, as well as ∠4 and ∠8. Corresponding Angles are located on the same side of the transversal, and in a similar matching location. For example, ∠4 and ∠6 are corresponding angles, therefore they are congruent.