Check the picture below.
recall, congruence means "an exact replica", size, color, smell, feathers, paws, the whole lot, stock and barrel.
Answer:
x=-1, y = 2, z = 1
Step-by-step explanation:
We are given with three equations and we are asked to find the solution to them.
2x + 2y + 3z = 5 ------------- (A)
6x + 3y + 6z = 6 --------------(B)
3x + 4y + 4z = 9 ---------------(C)
Step 1 .
multiplying equation (A) by 3 and subtracting B from the result
6x + 6y + 9z = 15
6x + 3y + 6z = 6
- - - = -
_______________
3y+3z=9
y+z=3
y=3-z ----------------- (C)
Step 2.
Substituting this value of y in equation B and C
6x + 3(3-z) + 6z = 6
6x+9-3z+6z=6
6x+3z=-3
2x+z=-1 ----------------(D)
3x + 4(3-z) + 4z = 9
3x+12-4z+4z=9
3x=-3
x=-1 ------------ (E)
Putting this value f x in (D)
2(-1)+z=-1
-2+z=-1
z=1
Now we put this value of z in equation (C)
y=3-z
y=3-1
y=2
Hence we have
x=-1, y=2 and z=1
The line from (7, 1) to (-2 10) is a radius of the circle.
Its length is the square root of [ (-2 - 7)² + (10 - 1)² ] = √(81 + 81) = √162
The equation of the circle is: (x- 7)² + (y - 1)² = 162
Answer:
Step-by-step explanation:
A=πr2
= (3.14)(27)2
= 2289.06
-9x - 30 < 15
<u> + 30 + 30</u>
<u>-9x</u> < <u>45</u>
-9 -9
x < -5
