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Answer:

Step-by-step explanation:
Apply pythagorean theorem:
ABD is a right triangle with angle ADB = 90
hence AD =
where BD = 10 because it is half of BC
AD =
= 
Answer:
see below
Step-by-step explanation:
Pedro has 3 boxes of 6 markers.
3*6 = 18 markers
We can divide this by 2 because this is even
18/2 = 9
There are 9 in each group
Rafael has 5 boxes of 5 markers
5*5 = 25
We cannot divide this by 2 because this is odd
Answer:
x = - 4 , x = - 3
Step-by-step explanation:
- 7x = x^2 + 12
Take all terms to one side of equation.
x^2 + 7x + 12 = 0
Find which 2 numbers multiply to give 12 and add to give 7.
a × b = 12
a + b = 7
a = 4
b = 3
Split the middle term using these 2 numbers.
x^2 + 4x + 3x + 12 = 0
Factorise each pair of terms separately.
x ( x + 4 ) + 3 ( x + 4 ) = 0
Bring out common factor of ( x + 4 ) and factorise.
( x + 4 ) ( x + 3 ) = 0
Using the Null factor law, make the expressions in each pair of parentheses equal 0.
x + 4 = 0
x = - 4
AND
x + 3 = 0
x = - 3
THEREFORE:
x = - 4 , x = - 3
Answer:
818.265
Step-by-step explanation: