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skelet666 [1.2K]
4 years ago
11

What are the coordinates of point A?​

Mathematics
1 answer:
kotykmax [81]4 years ago
5 0

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane.

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which ordered pair is a solution to the system of linear equations 1/2 x - 3/4 y = 11/60 and 2/5 x + 1/6 y = 3/10?
bekas [8.4K]

Value of x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}

Solution set is  (\frac{2}{3},\frac{1}{5})

Step-by-step explanation:

We need to solve the following system of equations:

\frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}\,\,\,eq(1)\\\frac{2}{5}x+\frac{1}{6}y=\frac{3}{10}\,\,\,eq(2)

We can solve this using Substitution.

Isolate x in \frac{1}{2}x-\frac{3}{4}y=\frac{11}{60}

\frac{1}{2}x=\frac{11}{60}+\frac{3}{4}y\\ x=\frac{11}{30}+\frac{3}{2}y

Putting value of x in equation(2)

\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)+\frac{1}{6}y=\frac{3}{10}\\Solving:\\Taking\,\,LCM\,\,of\,\,5,6,10 \,\,we\,\,get: 30\\Multiply\,\,by\,\,LCM\\\frac{2}{5}(\frac{11}{30}+\frac{3}{2}y)\times30+\frac{1}{6}y\times30=\frac{3}{10}\times30\\Simplifying:\\12(\frac{11}{30}+\frac{3}{2}y)+5y=9\\\frac{22}{5}+18y+5y=9\\23y=9-\frac{22}{5}\\23y=\frac{45-22}{5}\\23y=\frac{23}{5}\\y=\frac{\frac{23}{5} }{23}\\y=\frac{1}{5}

Putting value of y=1/5 in x=\frac{11}{30}+\frac{3}{2}y

x=\frac{11}{30}+\frac{3}{2}\times\frac{1}{5} \\x=\frac{11}{30}+\frac{3}{10}\\x=\frac{11+3*3}{30}\\x=\frac{11+9}{30} \\x=\frac{20}{30}\\x=\frac{2}{3}

So, value of x=\frac{2}{3}\,\,and\,\,value\,\,of\,\,y=\frac{1}{5}

Solution set is  (\frac{2}{3},\frac{1}{5})

Keywords: System of linear Equations

Learn more about System of linear Equations at:

  • brainly.com/question/9045597
  • brainly.com/question/13168205
  • brainly.com/question/2115716

#learnwithBrainly

5 0
4 years ago
PLEASE HELP I HAVE A MATH TEST!
Levart [38]

Answer:

Stop cheating on the test

7 0
3 years ago
A ball is thrown into the air. The height h, in feet, of the ball after x seconds is given by the function h = −16(x − 2)2 + 72.
Anon25 [30]

Answer:

A. -16x²+64x+8

B. 72 ft.

Step-by-step explanation: A. Expand the perfect square binomial -16(x²-4x+4)+72, dist. -16 (-16x²+64x-64+72), then combine like terms (-16x²+64x+8)

B. Find the abs. max. by looking back at the vertex form. The max is (2,72). Use the y-value for the height.

3 0
3 years ago
I need help to solve this equation <br> -8x + 5y = 18
vlada-n [284]

Answer:

y=2

x=-1

Step-by-step explanation:

6 0
4 years ago
Find the center and the radius of the circle with the equation:<br> x2 - 2x + y2 + 4y + 1 = 0
ra1l [238]

Complete the square:

<em>x</em> ^2 - 2<em>x</em> + <em>y</em> ^2 + 4<em>y</em> + 1 = 0

(<em>x</em> - 1)^2 + (<em>y</em> + 2)^2 + 1 = 1 + 4

(<em>x</em> - 1)^2 + (<em>y</em> + 2)^2 = 4 = 2^2

Hence the center is (1, -2) and the radius is 2. (D)

4 0
3 years ago
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