Answer:
x = (d + b) / (2a - c)
Step-by-step explanation:
2ax-b = cx+d
2ax - cx = d + b
x (2a-c) = d + b
x = (d + b) / (2a - c)
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
Answer:
-2x + 4y - 2z
Step-by-step explanation:
as you can see, the graph indicates which axis belongs to x, y, and z and also gives information on the positive and negative directions of each axis.
to get the answer, all you have to do is find each coordinate,
x is at -2, y is at +4, and z is at -2.
Answer:
A) slope is 2/5 (positive slope)
B) slope is -2/6 (negative slope)
C) Yes, with different points, the slope remains the same.
Answer:
forty-five and six tenths
Step-by-step explanation:
45 = forty five
.6 = six tenths