Answer:
2. x = 2 & y = 4
3. x = 4 & y = 2
Step-by-step explanation:
2. x + y = 6
2x + y = 8 (multiply the first equation by -1, so you can eliminate the ys)
- x - y = -6
2x + y = 8 (now add the variables together)
x = 2 (plug in x in one of the equations to find out y)
x + y = 6
(2) + y = 6
-2 -2
y = 4
3. 3x + y = 14
x = 2y (plug in x into the first equation and solve it for y)
3(2y) + y = 14
6y + y = 14
7y = 14
y = 2 (plug in y in one of the equations to find out x)
x = 2y
x = 2(2)
x = 4
4. One number (x) is 2 more (+2) than twice (times 2) as large as another. their sum is 17. Find the numbers.
2x + 2 = 17 (solve for x)
-2 -2
2x = 15
x = 7.5
6. 7 (4x + 1) - (x + 6) (start by distributing 7 into the first parenthesis)
(28x + 7) - (x + 6) (do the same to the other parenthesis by distributing -1)
(28x + 7) (-x - 6) (and now just combine like terms)
28x + 7 - x - 6
28x - x + 7 - 6
27x + 1
i hope this helped! if you have any question, pls let me know!
You will have to divide 15 and 5
X^2 - 6x + 5 = 0
(x - 5)(x - 1) = 0
x - 5 = 0; x =5
x - 1 = 0; x = 1
answer
x = 1, x =5
<span>By by pythagorean theorem
12 (squared) + r (</span>squared) = (8+r) squared<span>
so 144 + r ( </span>squared) = 64 + r (squared)<span> +16r
so solving for r:
144 -64 = r </span>squared –r squared<span> + 16r
80 = 16r
so r = 80/16= 5
the second is the same
21 </span>squared + r squared = (9 + r ) squared<span>
441 + r </span>squared = 81 + r squared<span> + 18r
441 – 81 = r </span>squared – r <span>squared</span><span> + 18r
r = 360/18 = 20</span>
Answer:
Area of circle = 50.24 units
Option J is correct answer.
Step-by-step explanation:
We need to find the area of a circle with centre (2, 3) that passes through (2,7)
The formula used to find area of circle is:

We need to find radius.
The radius can be found using the distance between points (2,3) and (2,7)
The The distance formula is: 
Putting values and finding length
We have: 
Putting values and finding distance

So, we found Distance = 4
Therefore, the radius of circle is 4
Now, finding area:

So, Area of circle = 50.24 units
Option J is correct answer.