Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b = 
b= 4√3 or about 6.928 units
hope this helped
The answer is C, one over thirty-two
Ali's solution is incorrect.
Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Step-by-step explanation:
Ali simplifies the expression 9y+y to 9y2. We need to identify if Ali's solution is correct or incorrect.
Ali's solution is incorrect.
Reason:
We are given the expression: 9y+y
When we add two like terms ( terms having the same variable and exponent), we add the coefficients of both like terms.
In our case 9y+y = 10y
Whereas Ali has done multiplication of both terms and not addition.
In multiplication we add the exponents of the same variables i.e 9y+y = 9y^2
So, Ali had to add both the terms and should get 10y answer, and not multiply both terms and get answer 9y^2 which is wrong.
Keywords: Solving expressions
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