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irina1246 [14]
2 years ago
11

Make v the subject of the formula in H=m(v²-u²)/2gx​

Mathematics
1 answer:
goldfiish [28.3K]2 years ago
4 0

Answer:

v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}

Step-by-step explanation:

The given formula is :

H=\dfrac{m(v^2-u^2)}{2gx}

We need to find the formula for v.

Cross multiplying the given formula.

H\times 2gx=m(v^2-u^2)

Dividing both sides by m. So,

\dfrac{H\times 2gx}{m}=\dfrac{m(v^2-u^2)}{m}\\\\(v^2-u^2)=\dfrac{H\times 2gx}{m}

Adding both sides by u².

(v^2-u^2)+u^2=\dfrac{H\times 2gx}{m}+u^2\\\\v^2=\dfrac{H\times 2gx}{m}+u^2\\\\\text{So},\\\\v=\sqrt{\dfrac{H\times 2gx}{m}+u^2}

Hence, this is the required formula.

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What is the relationship between the graphs of y = 2x and y = 2-x?
melomori [17]

Answer:

The relationship between the graphs is the intersection point at (0.667,1.333)

Step-by-step explanation:

we have

y=2x ----> equation A

The slope of the line A is equal to m=2

The line passes through the origin

y=2-x ----> equation B

The slope of the line B is m=-1

The x-intercept is the point (2,0)

The y-intercept is the point (0,2)

Line A and Line B are not parallel (the slopes are not equal)

Line A and Line B are not perpendicular (the product of their slopes is not equal to -1)

so

The relationship between Line A and Line B is the intersection point both graphs

using a graphing tool

The intersection point is (0.667,1.333)

see the attached figure

The intersection point is a common point , therefore belongs to both lines

8 0
3 years ago
A pyramid has a square base with an area of 169ft. What is the perimeter of the base of the pyramid?
ArbitrLikvidat [17]

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

ft

2

then each side of the base is

13

ft

long because the base of the pyramid is a square.

Length of the side,

s

=

√

169

=

13

Iif we take the area of a square

A

=

s

2

where

s

=

13

we get the area of the base to be

169

ft

2

thus proving that each side of the base is

13

ft

long.

So to find the perimeter of the base of the pyramid we use the formula:

P

=

4

s

where

s

=

13

ft

and thus,

p

=

4

⋅

13

ft

=

52

ft

7 0
3 years ago
10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then
Elena L [17]
First you need to know the prime numbers from 1-10.
They are 2, 3, 5, 7,
1st draw: P(prime) = 4/10
2nd draw: P(prime) = 3/9
Multiply these numbers 12/90 = 2/15
8 0
3 years ago
Goods available for sale are $40000, beginning inventory is $16000, ending inventory is $20000, the cost of goods sold $50000, w
zlopas [31]

Answer:

<h2>2.78</h2>

Step-by-step explanation:

Inventory turn over is the same as the inventory turn over ratio. Inventory turn over is defined simply as the ratio of the cost of goods that was sold (net sales) to the average inventory at the selling price.

Inventory turn over = Cost of goods/average inventory

Cost of goods sold = $50000

Average inventory = beginning of inventory + ending inventory/2

Average inventory = $16000+$20000/2

Average inventory = $36000/2

Average inventory = $18000

Inventory turn over = $50000/$18000

Inventory turn over= 2.78

6 0
2 years ago
Write the equation of the line through (-2,1) and parallel to y= -3x+1
DedPeter [7]
Use point slope equation y-y1=m(x-x1) Remember that a parallel line has the same slope.

y-1= -3(x-(-2))
y-1= -3(x+2)
y-1= -3x-6
y= -3x-5

Final answer: y=-3x-5
7 0
3 years ago
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