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marusya05 [52]
3 years ago
5

Three times a first number decreased by a second number

Mathematics
1 answer:
ki77a [65]3 years ago
3 0

Answer:

The two numbers are 3 and 5

Step-by-step explanation:

3X-Y=12\\X + 4Y=17\\

Multiply top equation by 4 to cancel out the Ys

12X - 4Y = 48\\X + 4Y = 17\\\\13X = 65\\X = 5\\

Since X =5, we can plug it into either of the top two equations to find out the value of Y

3(5) - Y = 12\\15 - Y = 12\\Y = 3

To double check

3(5) - 3 \\15 - 3\\12\\\\5 + 4(3) \\5 + 12\\17

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Answer:

Angle CBA = 90 degrees.

Step-by-step explanation:

Squares make 90 degree angles on all 4 angles.

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Solve the rational equation: 2x/x-4-2x-5/x^2-10x+24=-3/x-6
jek_recluse [69]

Answer:

D. X=6.08, x=-0.58

Step-by-step explanation:

Given the rational expression

\frac{2x}{x-4}-\frac{2x-5}{x^2-10x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x^2-4x-6x+24} = \frac{-3}{x-6}\\\frac{2x}{x-4}-\frac{2x-5}{x(x-4)-6(x-4)} = \frac{-3}{x-6}\\ \\\frac{2x}{x-4}-\frac{2x-5}{(x-4)(x-6)} = \frac{-3}{x-6}\\Rerrange;\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x}{x-4}+ \frac{3}{x-6}\\\frac{2x-5}{(x-4)(x-6)}  =  \frac{2x(x-6)+3(x-4))}{(x-4)(x-6)}\\

Cancel out the denominator on both sides

2x-5 = 2x(x-6)+3(x-4)\\Expand\\2x-5 =2x^2-12x+3x-12\\2x-5 = 2x^2-9x-12\\Equate \ to \ zero\\2x^2-9x-12-2x+5 = 0\\2x^2-11x - 7 = 0\\

Factorize

x = -(-11)\pm\frac{\sqrt{(-11)^2-4(2)(-7)} }{2(2)}\\x =  11\pm\frac{\sqrt{121+56} }{4}\\x = 11\pm\frac{\sqrt{177} }{4}\\x = 11\pm\frac{13.3 }{4}\\x = \frac{11+13.3}{4} \ and \ x = \frac{11-13.3}{4} \\x = 6.08 \ and \ - 0.58

Hence the required solution is X=6.08 and -0.58

7 0
3 years ago
10 POINTS!! ANSWER PLEASE
Assoli18 [71]
1.773, no need for the bar
6 0
3 years ago
Read 2 more answers
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