Answer:
x = 4
y = 3
Step-by-step explanation:
<u>Given </u><u>equations </u><u>:</u><u>-</u>
<u>Second</u><u> </u><u>equation</u><u> </u><u>can </u><u>be</u><u> written</u><u> as</u><u> </u><u>,</u><u> </u>
<u>Adding</u><u> </u><u>them </u><u>:</u><u>-</u><u> </u>
- -3y + 2y = 2 -5
- -y = -3
- y = 3
<u>Put </u><u>this </u><u>in </u><u>(</u><u>ii)</u><u> </u><u>:</u><u>-</u><u> </u>
- x = 3y - 5
- x = 3*3 - 5
- x = 9 -5
- X = 4
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Answer:
Equation of the circle is : 
Step-by-step explanation:
Let us consider the image attached in the answer area.
The center<em> O</em> has the co-ordinates i.e. <em>(-5,2)</em> and the diameter given is <em>12 units</em>.
We know that radius is half of diameter.


The equation for circle given the center and radius, can be represented as:

Where <em>(a,b)</em> is the co-ordinate of center and <em>r</em> is the radius.
Let us consider the following formula:


Hence, Equation of the circle is : 
Answer:
Kenneth will earn about $ 504 the next week
Step-by-step explanation:
The first thing we will have to figure out is how much Kenneth earns per hour. Then we can get how much he will earn when he wors for 42 hours.
to get Kenneth's wage per hour, we will divide the sum he is paid in the first week by the number of hours he worked that week.
This is 450/ 37.5 = 12 dollars per hour.
Kenneth earns $12 per hour.
If Kenneth works for 42 hours, he will earn 42 X 12 = $ 504 the next week