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ratelena [41]
4 years ago
8

If 3x +4y = 7 and 2y = 6x + 6, then what is xy

Mathematics
1 answer:
Jet001 [13]4 years ago
4 0
3x + 12x + 12 = 7
15x + 12 = 7
15x = -5
x = 1/3

3 (1/3) + 4y = 7
1 + 4y = 7
4y = 6
y = 1.5

3 (1/3) + 4 (1.5) = 7
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3 years ago
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Which of the following represents 3x - 5y+ 10 = 0 written in slope-intercept form?
storchak [24]

Answer:

y = \frac{3}{5}x + 2

Step-by-step explanation:

3x - 5y + 10 = 0

         -5y = -3x - 10

            y = \frac{-3}{-5}x - \frac{10}{-5}\\\\ y = \frac{3}{5}x + 2

4 0
3 years ago
There are some red and blue balls in a bag of 21 balls and the probability of picking 2 red balls out in a row is 1/14 how many
Over [174]

Answer:

6 red balls

Step-by-step explanation:

The probability in the first pick

6/21

The probability in the second pick (without replacement)

5/20

the requested probability

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simplification

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8 0
3 years ago
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1) Find the slope of the line
vitfil [10]

Answer:

Slope formula;

y2(second y coordinate) - y1(first y coordinate)

____________________________________

x2(second x coordinate) - x1(first x coordinate)

Plug in values:

  2 - 1                 1

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6 0
2 years ago
Assume that lines which appear tangent are tangent
DiKsa [7]

Answer:

B

Step-by-step explanation:

Remark

This is a monster when you first come across it, but later on you will not be fooled.

Construction

  • Draw a line from E to the center of the circle.
  • Label the center of the circle O
  • OE and OF are both radii.
  • They form the central angle of the ArcEF

Solution

Find the value of Arc EF

The value of Arc EF = 360 - 244 = 116

The value of <FOE also = 116. (The arc and the central angle are equal.)

ΔFOE = 116 degrees                See above statement

ΔFOE is isosceles                   Two of it's sides are radii.

The two base angles can be solved. Call each one x

2x + 116 = 180                           All triangles have 180 degrees

   <u>  -116    -116  </u>                          Subtract 116 from both sides

2x = 64                                     Divide by 2

x = 32                                        <EFO = 32

<EFO = 90                               Where the tangent meets the radius forms a 90o angle.

<EFO + GFE = 90

32 + GFE =90

GFE = 90 - 32

GFE = 58

Answer: B

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3 years ago
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