Answer:
Width of the rectangle = 10 feet
Length of the rectangle = 25 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Let
Width of the rectangle = x feet
Length of the rectangle = 3x - 5 feet
Perimeter of the rectangle = 70 feet
Perimeter of a rectangle = 2(length + width)
70 = 2{x + (3x - 5)}
70 = 2{x + 3x - 5}
70 = 2(4x - 5)
70 = 8x - 10
70 + 10 = 8x
80 = 8x
Divide both sides by 8
x = 80 / 8
= 10
Width of the rectangle = 10 feet
Length of the rectangle = 3(10) - 5
= 30 - 5
= 25 feet
Step-by-step explanation:
that is really easy, when you have the function in such a factorial form already.
the zeros of the whole function are the x values that turn at least one factor to 0 (as when one factor is 0, then the whole expression is 0).
so, you get a zero, when x = 7, or x = 3, or x = 2.
because then either x-7 or x-3 or x-2 is 0.
therefore, C is the right answer.
Hey!
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They already give us the slope, so we can solve the y-intercept.
We can use (3, -2).
y = 8x + b
-2 = 8(3) + b
-2 = 24 + b
-2 - 24 = 24 + b - 24
-26 = b
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Hence, the answer is
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Hope This Helped! Good Luck!
Answer:
1 m/s
Step-by-step explanation:
the area of the triangle = A = ¹/₂ab
where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²
now we find the derivative of both sides:
dA/dt = ¹/₂ ⋅ dx²/dt
dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt
dA/dt = x ⋅ dx/dt = x ⋅ velocity
we are told that x = 5 m, and dA/dt = 5 m²/s
velocity = dA/dt / x
velocity = 5 m²/s / 5 m = 1 m/s
Answer:
n>6
Step-by-step explanation:
n is greater than 6
EDIT: read it wrong, greater than not gtoet