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Radda [10]
3 years ago
12

one number is 6 more than the other number. also, 7 times the smaller number is equal to 6 times the larger number. find the two

numbers.​
Mathematics
1 answer:
densk [106]3 years ago
4 0

Answer:

x = 36; y = 42

Step-by-step explanation:

x+6 = y

7x = 6y

7x = 6(x+6)

7x = 6x+36

-6x  -6x

x = 36

_________

y = 36+6

y = 42

_________

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bazaltina [42]
The answer is B
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8 0
3 years ago
. If α and β are the roots of
Lostsunrise [7]

Answer:

18x^2+85x+18 = 0

Step-by-step explanation:

<u><em>Given Equation is </em></u>

=> 2x^2+7x-9=0

Comparing it with ax^2+bx+c = 0, we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = -\frac{b}{a}

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

<em>Now, Finding the equation whose roots are:</em>

α/β ,β/α

Sum of Roots = \frac{\alpha }{\beta } + \frac{\beta }{\alpha }

Sum of Roots = \frac{\alpha^2+\beta^2  }{\alpha \beta }

Sum of Roots = \frac{(\alpha+\beta )^2-2\alpha\beta   }{\alpha\beta  }

Sum of roots = (\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}

Sum of roots = \frac{49}{4} + 9 /\frac{-9}{2}

Sum of Roots = \frac{49+36}{4} / \frac{-9}{2}

Sum of roots = \frac{85}{4} * \frac{2}{-9}

Sum of roots = S = -\frac{85}{18}

Product of Roots = \frac{\alpha }{\beta } \frac{\beta }{\alpha }

Product of Roots = P = 1

<u><em>The Quadratic Equation is:</em></u>

=> x^2-Sx+P = 0

=> x^2 - (-\frac{85}{18} )x+1 = 0

=> x^2 + \frac{85}{18}x + 1 = 0

=> 18x^2+85x+18 = 0

This is the required quadratic equation.

5 0
3 years ago
Read 2 more answers
Which statement is not true?
dmitriy555 [2]

Answer:

C

Step-by-step explanation:

There can be multiple solutions when two lines intersect.

8 0
3 years ago
show me how to work this problem, point A(7,9)is dilated from the origin by scale factor r was= 6. what are the coordinates of p
frutty [35]

If the point is dilated from the origin by a scale factor of 6

Then the coordinates of point A becomes

A( 6x7 , 6x9)

A_{0,6}(7,9)=(42,\text{ 54)}

6 0
1 year ago
Sarah is paid biweekly. Her annual salary is $33,000.
bezimeni [28]

Answer:

$1269.23

Step-by-step explanation:

Since Sarah is paid biweekly (every 2 weeks), and there are 52 weeks in a year...

52 ÷ 2=26

Sarah is being paid 26 weeks out of the year.

Divide 33,000 by 26 (I only list 4 places after the decimal):

33000 ÷ 26=1269.2307

Round 1269.2307 to the nearest cent (hundredth):

1269.23

3 0
3 years ago
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