Answer:
Spiders=8
Ants=12
Step-by-step explanation:
Spider(s)=8 legs
Ants(a)=6 legs
Total legs=136
Total heads=20
8s+6a=136 (1)
s+a=20 (2)
From (2)
s=20-a
Substitute 20-a into (1)
8s+6a=136
8(20-a)+6a=136
160-8a+6a=136
160-2a=136
-2a=136-160
-2a=-24
a= -24/-2
a=12
Substitute a=12 into (2)
s+a=20
s+12=20
s=20-12
s=8
Check the picture below.
since the second figure is also a square, then the sides touching the diagonals have to be all equal, and that'd only happen if those sides bisects the larger square's diagonal.
The given quadrilateral is a kite.
Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)
Firstly, we find the distance between AD and DC
AD = 
⇒ AD = 
⇒ AD = 5
DC = 
⇒ DC = 
⇒ DC = 5
Hence, AD = DC = 5
Now, find the distance between AB and BC
AB = 
⇒ AB = 
⇒ AB = 
⇒ AB = 
BC = 
⇒ BC = 
⇒ BC = 
⇒ BC = 
Hence, AB = BC = √97
In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.
Hence, it follows the property of kite.
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Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
Answer:
I got 235, which works in perfectly into the problem...
Step-by-step explanation: