Answer: a^2x^2+9x^2+13x+6a
Step-by-step explanation:
(a^2+9) x^2+ 13x +6a
x^2(a^2+9)+13x+6a
Expand:x^2(a^2+9): a^2 x^2+9^2
x^2 a^2 +x^2*9
a^2 x^2+9x^2
a^2 x^2+9x^2+13x+6a
Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:

Where At is the area of each triangle.


We know AB=3 and BC=2, thus:

Simplifying:

Finally:


The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
Answer:
Check explanation
Step-by-step explanation:
Here, we want to make a prove;
Mathematically , since D is the midpoint of CE
Then;
CE = CD + DE
Also, since D splits the line segment into two equal parts as the midpoint, then CD must be equal to DE
I.e CD = DE
Hence, we can express CE as follows;
CE = DE + DE
CE = 2 DE
Divide both sides by 2
CE/2 = DE
Hence; DE = 1/2 CE
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...