Answer:
x = 1 is not a solution to the equation
Step-by-step explanation:
2x + 4 = -3x - 2 x = 1
2(1) + 4 = -3(1) - 2
2 + 4 = -3 - 2
6 = -5 FALSE
Answer:
y+2=m(x+2)
Step-by-step explanation:
y - y1 = m(x - x1)
y- (-1) = m( x-(-1) )
y+2 = mx +2m
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
Your answer would be <u>2700</u>
Using I=P*r*t
P= 2500
R= 4% (substitue to 0.04)
T= 2 Years
I= 2500* 0.04 * 2
I= 100* 2
I= 200
2500+200=
2700
By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles
