Answer:
Step-by-step explanation:
10x^3 + 35x^2 - 4x - 14
5x^2(2x + 7) - 2(2x + 7)
(5x^2 - 2)(2x + 7)
Answer:

39 is the 13th term
Step-by-step explanation:
Okay so essentially the
is just a substitute for x.
See how in the equation they put n into the x spot:

They changed the variable names:

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:
When they say, 13 term, they mean
which would be the 13th answer in the series. So the first term would be based off of 

So whatever number is in the n position by a is what you'll be plugging into the x spot.

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.
In the diagram, the area of the given shape is 102 cm²
<h3>Area of a Kite </h3>
From the question question, we are to determine the area of the given shape
The given shape is a kite
The area of a kite is given by the formula,

Where A is the area
p and q are the diagonals
In the given diagram,
p = 6cm + 6 cm = 12 cm
q = 3 cm + 14 cm = 17 cm
Thus,
Area of the kite = 
Area of the kite = 6 × 17
Area of the kite = 102 cm²
Hence, the area of the given shape is 102 cm²
Learn more on Area of a kite here: brainly.com/question/20597161
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Answer: First option 13
Solution
If ABCD is a rhombus, the diagonals must be perpendicular, then the angle (5x+25)° must be a right angle (90°):
(5x+25)°=90°
5x+25=90
Solving for x: Subtracting 25 both sides of the equation:
5x+25-25=90-25
Subtracting:
5x=65
Dividing both sides of the equation by 5:
5x/5=65/5
Dividing:
x=13
Answer: The value of x must be 13