The length of a median is equal to half the square root of the difference of twice the sum of the squares of the two sides of the triangle that include the vertex the mediam is drawn from and the square of the side of the triangle the median is drawn to.
triangle sides by a, b, c.
ma=122c2+2b2−a2
mb=122c2+2a2−b2
mc=122a2+2b2−c2
        
             
        
        
        
Answer:
37.5
Step-by-step explanation:
180-75 = 105
180 is the sum of all the angle in a triangle
180-105 = 75
75/2 = x becuz the triangle is icoceles
=37/5
Hope this helps :) Giving me brainiest would help a lot :))
 
        
             
        
        
        
Answer:
8. 5/6
9. 6.25, 6 and 1/4
10. 14.4
Step-by-step explanation:
Sorry that this is a little late. All of these problems end up with the same process to get to the answer. Since you want to find the rate, you would want to divide the amount of time taken by itself to find the unit rate. So basically, 8. would be 20 cm in 24 hours. You would divide both by 24 and you get 20/24 cm in 1 hour. and then you simplify the fraction and boom, there's your answer.
 
        
             
        
        
        
Answer:
Yes! When simplifying 15:60 by dividing each side by 3, you get 5:20, which is the same as 5:20.
Step-by-step explanation:
Hope this helps <3
 
        
             
        
        
        
Answer:
   (a)  (a² +3a -1)(a² -3a -1)
Step-by-step explanation:
The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).
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To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".
We want the a² term in the product ...
   (a² +3a +c)(a² -3a +c)
That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:
   (a²·c) +(a²·c) -9a² = a²(2c-9)
So, we want the factor (2c-9) to be -11, which means c=-1, not +1.
The correct factorization of the given expression is ...
   (a² +3a -1)(a² -3a -1) . . . . matches choice A