Answer:
(x, y) = (3, 5)
Step-by-step explanation:
To solve these equations graphically, you plot each one, then identify the coordinates of the point of intersection.
The first equation can be graphed using the y-intercept of -1 and the slope of 2.
The second equation has a y-intercept of 18/3 = 6, and a slope of -1/3. The x-intercept of 18 is off the chart, so the slope and intercept are a good way to plot this line, too.
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The slope is the "rise" divided by the "run". A slope of 2 means the line goes up 2 units for each unit to the right. A slope of -1/3 means the line goes down 1 unit for each 3 units to the right.
The solution is (x, y) = (3, 5).
Answer:
y = 3x + 3
Step-by-step explanation:
when you check, only that equation delivers the correct x and y pairs.
x = 0, => y = 3×0 + 3 = 3
x = 1, y = 3×1 + 3 = 3+3 = 6
x = 2, y = 3×2 + 3 = 6 + 3 = 9
x = 3, y = 3×3 + 3 = 9 + 3 = 12
it all fits.
The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".
x²+y²-8x-6y+2 =0 -----(a)
(x-4)² = x² - 8x + 16
(y-3)² = y² - 6y + 9
Equation (a) can be rewritten as:
(x-4)² + (y-3)² + 2 - 16 - 9 = 0
(x-4)² + (y-3)² = 23
The coordinates for the center of the circle is: ( 4,3)
The radius is √23=4.8
Answer:
Ann would need 3 h to complete the remainder of the Job.
Step-by-step explanation:
Step 1.
The "speed" that each girl has to do the work is determined as:
- Tina:
, it means that Tina complete one twelveth of the job each hour. - Ann:
, it means the Ann completes one eighth of the job each hour.
Step 2.
The amount of work done by Tina in 9 hours, is obtain multiplying by the "speed" calculated in step 1:
Amount of work done= 
. It means that <em>Tina completes two thirds of the work in 9 h.</em>
Step 3.
The remaining job is calculated as 
. It means that <em>still remains is one third of the job to be completed</em>.
Step 4.
The time required for Ann to complete the job is calculated dividing the remaining of the job by the "speed" of Ann to do the job.
. It means that <em>Ann would complete the job in another 3 hours</em>.
