Answer:
4v - 7w = (101 , -36)
6u -8v = (-78 , 58)
2u +v - 4w = (40 , -4)
11u + 3w = (-88 , 89).
Step-by-step explanation:
u(-5, 7) ; v(6 , -2) ; w(-11,4)
4v - 7w = (4*6+[-7]*[-11] , 4*[-2] + [-7]*4)
=(24+77 , -6 - 28)
4v - 7w = (101 , -36)
6u - 8v = (6*[-5]+[-8]*6 , 6*7+[-8]*[-2] )
= (-30-48 , 42+16)
6u -8v = (-78 , 58)
2u + v - 4w = (-10+6+44 , 14 -2 -16)
2u +v - 4w = (40 , -4)
11u + 3w = (11*[-5]+3*[-11] , 7*11 +3*4)
= (-55-33 , 77+12)
11u + 3w = (-88 , 89)
Answer:
x² + y² = 4²
Step-by-step explanation:
The standard equation of a circle centered at the origin and with radius r is
x² + y² = r²
Note that the point (4, 0) is 4 units horizontally and to the right of the center (0, 0). Thus, we know immediately that the radius is 4.
Thus the equation of this circle is x² + y² = 4²
The answer:
X1 = -1 X2 = 3
Explanation: Down the images
Answer:
x ≈ 15.9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + 6² = 17²
x² + 36 = 289 ( subtract 36 from both sides )
x² = 253 ( take the square root of both sides )
x = 
≈ 15.9 ( to the nearest tenth )
32 is closer to 33 than it is to 40
