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2 years ago

Question 5 of 15

Mathematics

1 answer:

Charra [1.4K]2 years ago

4 0

Answer:

Mass

Step-by-step explanation:

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Can you show me this step by step please

Leya [2.2K]

Answer:

clockwise from left, the missing side lengths are 8 m, 13 m, 8 m

Step-by-step explanation:

The perimeter of the figure is the sum of the lengths of its sides. Sides with the same hash mark have the same length, so the perimeter (in meters) is ...

38 = (3x+1) +(2x) +(9) +(2x)

38 = 7x +10

28 = 7x . . . . . . subtract 10

4 = x . . . . . . . . divide by 7

Then the short sides are ...

2x = 2·4 = 8 . . . meters

and the long side is ...

3x+1 = 3·4 +1 = 13 . . . meters

5 0

2 years ago

Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing device, graph the curve to chec

klasskru [66]

Answer:

There is a horizontal tangent at (0,-4)

The tangent is vertical at (-2,-3) and (2,-3).

Step-by-step explanation:

The given function is defined parametrically by the equations:

$x=t^3-3t$

and

$y=t^2-4$

The tangent function is given by:

$\frac{dy}{dx}=\frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

$\implies \frac{dy}{dx}=\frac{2t}{3t^2-3}$

The tangent is vertical at when $\frac{dx}{dt}=0$

$\implies \frac{3t^2-3}{2t}=0$

$\implies 3t^2-3=0$

$\implies 3t^2=3$

$\implies t^2=1$

$\implies t=\pm1$

When t=1,

$x=1^3-3(1)=-2$ and $y=1^2-4=-3$

When t=-1,

$x=(-1)^3-3(-1)=2$ and $y=(-1)^2-4=-3$

The tangent is vertical at (-2,-3) and (2,-3).

The tangent is horizontal, when $\frac{dy}{dx}=0$ or $\frac{dy}{dt}=0$

$\implies 2t=0$

$\implies t=0$

When t=0,

$x=0^3-3(0)=0$ and $y=0^2-4=-4$

There is a horizontal tangent at (0,-4)

5 0

2 years ago

27. A factory worker has 5,500 puzzles to pack into cartons that each hold 785 puzzles. How many puzzles will be left over after

oee [108]

Answer:

C. 7

Step-by-step explanation:

5,500 divided by 785 = 7.006, which can be rounded to 7.

6 0

2 years ago

Twice the sum of -2 and a number is the same as the number decreased by 5/2.<br><br>The equation is

gulaghasi [49]

Lol. ..I just finished this one for another person

2 (n-2) = n - 5/2

5 0

2 years ago

Which process do we use in reverse to solve two-step equations?

lesya692 [45]

Answer: Inverse Operation

Step-by-step explanation:

6 0

3 years ago