6x^2 - x - 40 =(<span>3x - 8)(2x + 5)
and
</span><span>5 + 2x = 2x + 5
</span><span>
so
</span>(6x^2 - x - 40)<span>÷ (5 + 2x)
= [</span>(3x - 8)(2x + 5)] ÷ (5 + 2x)
= 3x -8
answer
3x - 8
In order to find the answer, we need to multiply 15 x 12 then find the exponent based on the object shape (2D/3D).
15 x 12 = 180.
If the object is 2D, the exponent is 2 (squared). If the object is 3D, the exponent is 3 (cubed). We can tell that the object is 2D, so the exponent is 2.
The answer is 180^2, or 180 squared.
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Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
The answer is 5 for this question
The measure of ∠FDE = 18°
<u>Explanation:</u>
A Pentagon has 5 sides and is made of 3 triangles
So, sum of the interior angles of the triangle = 180°
Therefore, the total interior angle of a regular pentagon = 3 X 180° = 540°
A regular pentagon will have all its angle equal
All the five angles would make 540°
Let the measure of one angle = x
So,
5x = 540°
x = 108°
Therefore, the measure of each angle of a pentagon is 108°
From the diagram,
∠AED + ∠FED = 180°
∠AED = 108° as it is one of the sides of the pentagon
So,
108° + ∠FED = 180°
∠FED = 72°
In ΔEFD,
∠FED + ∠EFD + ∠FDE = 180°
72° + 90° + ∠FDE = 180°
∠FDE = 18°
Therefore, the measure of ∠FDE = 18°