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3 years ago

15

Clearly mark on the coordinate plane the location of the ordered pairs and

1 answer:

ladessa [460]3 years ago

3 0

Answer:

Point $J(4,0)$ lies on $x-$ axis and point $M(-2,-3)$ lies quadrant III.

Step-by-step explanation:

A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.

Here, coordinate axes are $x-$ axis and $y-$ axis.

Let's first mark the points in the coordinate plane.

See the attached figure.

From the figure, it can be observed that point $J(4,0)$ lies on $x-$ axis and point $M(-2,-3)$ lies quadrant III.

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Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

3 years ago

Read 2 more answers

Really need help on this , thanks so much! (:

Mazyrski [523]

-2y>12x-42
y<21-6x
so a is true

7 0

3 years ago

What number is 37 1/2% of 32?

Serggg [28]

37.5% of 32 is 12

if you move the decimal point in the percentage 2 places to the left you will get a number you can multiply with

so 0.375 x 32 = 12

6 0

3 years ago

11z/16+7z/8=5/16 as a decimal

babunello [35]

11z/16+7z/8=5/16
(11z+14z)/16=5/16
25z=5
z=5/25=1/5

4 0

3 years ago

My uncle bought a second-hand truck for $25400 and spent $600 to repair it. What is the CP?

alex41 [277]

Answer:

buy a used better tuck with the 25400 inside of buying the truvk that is broke or thst you to repair

Step-by-step explanation:

jus buy the better truck.

5 0

2 years ago