Solution:
<u>Simplify the equation and solve.</u>
- 89(54x − 36) + 2 = −34(−40 + 16x) + 90x
- => 4806x − 3204 + 2 = 1360 - 544x + 90x
- => 4806x = 1360 - 454x + 3202
- => 5260x = 4562
- => x = 4562/5260 = 2281/2630
The solution to the problem is 2281/2630.
To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5
To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.
To calculate mode, you find the number that appears the most.
Comment if you want the answers.
The solution to the system is (8, -12).
Step-by-step explanation:
Given equations are;
1/4x-1/2y=8 Eqn 1
1/2x+3/4y=-5 Eqn 2
Multiplying both equations by 4
Multiplying Eqn 3 by -2
Adding Eqn 4 and Eqn 5
Dividing both sides by 7
Putting y=-12 in Eqn 3
The solution to the system is (8, -12).
Keywords: linear equations, addition
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Answer:
(C) 2√15
Step-by-step explanation:
Recognize that all the triangles are right triangles, so are similar to each other. In these similar triangles, the ratio of the short side to the long side is the same for all.
... CB/CA = CT/CB
... CB² = CA·CT = 10·6 = 60 . . . . . . . . . . multiply by CA·CB; substitute values
... CB = √60 = 2√15 . . . . . . . take the square root; simplify
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<em>Comment on this solution</em>
The altitude to the hypotenuse of a right triangle (CB in this case) divides the hypotenuse into lengths such that the altitude is their geometric mean. That is ...
... CB = √(AC·CT) . . . . as above
This is true for any right triangle — another fact of geometry to put in your list of geometry facts.