(10 + 14 + 8 + 16 + 12 + x ) /6 = 13
(60 + x) / 6 = 13
60 + x = 13 * 6
60 + x = 78
x = 78 - 60
x = 18 <=====
1(6x-9)=(4x-6)
One solution was found :
x = 3/2 = 1.500
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
1*(6*x-9)-((4*x-6))=0
Step by step solution :
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
6x - 9 = 3 • (2x - 3)
Equation at the end of step 2 :
3 • (2x - 3) - (4x - 6) = 0
Step 3 :
Equation at the end of step 3 :
2x - 3 = 0
Step 4 :
Solving a Single Variable Equation :
4.1 Solve : 2x-3 = 0
Add 3 to both sides of the equation :
2x = 3
Divide both sides of the equation by 2:
x = 3/2 = 1.500
One solution was found :
x = 3/2 = 1.500
Answer:
a) Distance between points A (5, 4) and B( 5, -2) is 6 unitsb) Distance between points E (-2, -1) and F( -2, -5) is 4 unitsc) Distance between points C (-4, 1) and D( 1, 1) is 5 unitsd) Distance between points G(3, -5) and H(6, -5) is 3 unitsStep-by-step explanation:We need to find the distance between each paira) A (5, 4) and B( 5, -2)
Step-by-step explanation:
Let the original number be ‘x’
Then half of that number= 1/2x or simply x/2
Similarly one fifth of that number = x/5
According to the question
x+x/2+x/5=51
Taking LCM
10x/10+2x/10+5x/10=51
Multiplying 10 throughout
10x+2x+5x=510
17x=510
x=510/17
Therefore x=30
In a triangle, the nomenclature is that a variable side a is opposite of the angle A. we can use the cosine law to determine the value of cosine A.
a2 = b2 + c2 -2bc cos a25 = 36 + 64 - 2*6*8 * cos acos a = 25/32
