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alexandr1967 [171]
3 years ago
15

Set up a rational equation and then solve the following problems. A positive integer is twice another. The difference of the rec

iprocals of the two positive integers is 1/18. Find the two integers.
Mathematics
1 answer:
kupik [55]3 years ago
3 0

Answer:

9 and 18

Step-by-step explanation:

2x and x are the numbers

1/x-1/2x=1/18

2/2x-1/2x=1/18

1/2x=1/18

2x=18X=9,

2x=18

The two integers are 9 and 18

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$5 PAYPAL + BRAINLIEST TO ANSWER THS
expeople1 [14]

Answer:

Quadratic Equation:

3x^2=2x +5

\text{Standard Form: } 3x^2-2x-5=0

From the standard form of a Quadratic Function, we get:

a=3,\:b=-2,\:c=-5

Discriminant:

\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)

\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5

\Delta=64

From the discriminant, we conclude that the equation will have two real solutions.

State that:

b^2-4ac

b^2-4ac =0:\text{The equation has 1 real solution}

b^2-4ac >0:\text{The equation has 2 real solutions}

By the way, solving the equation given:

$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$

$x=\frac{2\pm\sqrt{64}}{6}$

$x=\frac{2\pm8}{6}$

$x_{1} =\frac{10}{6}=\frac{5}{3}  $

$x_{2}=\frac{-6}{6} =-1$

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3 years ago
I need help on number 17 and 18 on how to find the area of the figure
JulsSmile [24]
17. Area of triangle: 1/2bh
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3 years ago
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Step-by-step explanation:

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5. Find the coordinates of the midpoint of the segment whose endpoints are 1l(6, 4) and K(2. 8).
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6. B (7.8)

Step-by-step explanation:

5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)

6. Use the distance formula \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}\\

Input the coordinates \sqrt{(3-8)^{2}+(8-2)^{2}

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