64750000000000 (10 zeros in case i typed the wrong amount)
Answer:
Option A is correct.
Step-by-step explanation:
Given equation is 3x + 4y + 6z = 12
We have to find ordered triplet which indicate where the plane cuts the x-axis.
To find x-coordinate where plane cuts the x-axis we put y and z equal to 0.
3x + 4 × 0 + 6 × 0 = 12
3x + 0 + 0 = 12
3x = 12
x = 4
So, the coordinate where it cuts x-axis is ( 4 , 0 , 0 )
Therefore, Option A is correct.
Answer:
Step-by-step explanation:
Factorize using square root method.
x² - 2x + 2 = (x-a)² + b
x² -2x + 1 + 1 = (x-a)²+b
(x² - 2*x*1 + 1²) + 1 = (x -a)²+ b {Compare with a²- 2ab+b² which is (a - b)²}
(x - 1)² + 1 = (x - a)² + b
a = 1 and b = 1
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Answer:
(3,-4) and (-3,4)
Step-by-step explanation:
The first equation is a circle with radius of 5 units
The second equation is a line which has slope 
So, for 4 unit change in y there will be 3 unit chang in x.
The circle has its center at the origin and the line passes through the orgin.
The line will intersect the circle at two points giving us two solutions
From the second equation we get
Applying in the second equation
When x = 3
When x = -3
So, the points where the line and circle intersect are (3,-4) and (-3,4)
