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cricket20 [7]
1 year ago
5

What is the solution to the system of equations? (7, 4) (7, startfraction 13 over 3 endfraction) (8, startfraction 14 over 3 end

fraction) (9, 7)
Mathematics
1 answer:
miss Akunina [59]1 year ago
5 0

The points are (7, 13/3).

Lets simplify the equation,

The equation of first line: y = 1/3 x + 2

the equation of second line: y= 4/3x - 5

Solve the system of equations by elimination,

Multiply equation A by -4 both sides

-4y = -4(1/3x +2)

-4y = -4/3x-8

After eliminating the equation we get,

y = 13/3

So now have to find x

13/3 = 1/3x + 2

Lets multiply above by 3
x = 13-6

x = 7.

Hence the points are (7, 13/3)

Learn more about Quadratic Equation on:

brainly.com/question/1214333

#SPJ4

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Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

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#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

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What Shape is generated when Triangle ABC is rotated around the vertical line through B and C
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Is (0,0) a solution of the system y>x and x+y>0?
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Plug the values (x,y)=(0,0) into the inequalities:

y\ \textgreater \ x \\
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The answer is D.
8 0
3 years ago
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

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  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

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<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

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<u>Find s:</u>

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<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
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