Solving equations and inequalities 39t+1=15t+9

The slope at a point on a position versus time graph of an object is __________

natima [27]

Answer: The objects instantaneous velocity at that point

Step-by-step explanation:

On a position versus time graph, the displacement is the vertical difference between two points and the time interval is the horizontal difference.

The ratio of displacement to time interval is the the objects instantaneous velocity at that point. This ratio is also the slope of the line.

Hence, The slope at a point on a position versus time graph of an object is the objects instantaneous velocity at that point.

6 0

4 years ago

Find the dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible. (Enter the dimensions as a

lozanna [386]

Given :

Area of rectangle.

To Find :

The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.

Solution :

Let, the dimensions of rectangle is x and y.

Area, A = xy.

x = A/y. ....1)

Perimeter, P = 2( x + y )

Putting value of x in above equation, we get :

$P = 2( y + \dfrac{A}{y})$

For minimum P,

$\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2$

SO, it is a square.

$x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m$

Therefore, the dimensions are $(24\sqrt{3},24\sqrt{3})$ .24\sqrt{3}

Hence, this is the required solution.

7 0

3 years ago

In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of

Marina86 [1]

Answer:

The perimeter of the figure as a function of the number of triangles is $y = 6 + 4\cdot x$ .

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ( $x=1$ ), the total perimeter is ( $y=2\cdot 3 + 1\cdot 4 = 10$ ).

ii) For two triangles ( $x = 2$ ), the total perimeter is ( $y = 2\cdot 3 +2\cdot 4 = 14$ )

iii) For three triangles ( $x = 3$ ), the total perimeter is ( $y = 2\cdot 3 +3\cdot 4 = 18$ )

iv) For four triangles ( $x = 4$ ), the total perimeter is ( $y = 2\cdot 3 +4\cdot 4 = 22$ )

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is $y = 6 + 4\cdot x$ .

6 0

3 years ago

If angle one measures 108 degrees, what is the measure of angle 3?

inna [77]

Answer:

Step-by-step explanation:

∠2= ∠1 { vertically opposite angles}

m,n are parallel lines and a is transverse.

So, ∠3 = ∠2 {corresponding angles}

∠3 = 108

8 0

4 years ago

Victoria purchased 0.6lbs of deli ham for $4.71. What is the cost of ham per pound?

BartSMP [9]

Answer:

$7.85

Step-by-step explanation:

Per pound = 1

Ratios:

$\frac{4.71}{0.6} =\frac{x}{1} \\\\0.6x=4.71\\x=7.85$

7 0

3 years ago