Answer:
the answer is (-2,3)
Step-by-step explanation:
when moving to the left you going across the x axis 4 times and going down once om the u axis
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°
Answer:
Option B
Option C
Option D
All of these are correct
Step-by-step explanation:
Option B is correct because:
2x + 1 + 2x + 3 = 4x + 4
=> 4x + 4 = 4x + 4
Option C is correct because:
x + 3x + 4 = 4x + 4
=> 4x + 4 = 4x + 4
Option D is correct because:
2(2x + 2) = 4x + 4
=> 4x + 4 = 4x + 4
Option A is incorrect because:
4(x + 4) = 4x + 4
=> 4x + 16 ≠ 4x + 4
The constant is -12. I think of constant as the "lonely little number".... Hope this helped =)