Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Answer:
39856
Step-by-step explanation:
100 × 398 + 56
39800 + 56
39856
Answer: x=4y+9
Step-by-step explanation:
All of the variables, 3x, 12y, and 27 can be divided y 3, so we will simplify by dividing the whole equation by 3.
3x/3-12y/3=27/3
Which is equal to....
x-4y=9
Now you can move -4y over to the right side by changing its sign...
x=4y+9
Answer: 12, 12, and 23
Step-by-step explanation:
By definition, when three lengths form a triangle, the sum of two of them must be greater that the third lenght.
To find out which of the options given in the problem form a triangle, you must add the first two lenghts and verify that the sum is greater than the third lenght.
Keeping this on mind, when you verify the last option you have:
12+12=24
24>23
Therefore, the answer is the last option.
22/7 is pie just in fraction form which makes it very logical depending on the problem.