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3 years ago

Given that 1/f = 1/u + 1/v , express u in terms of v and f

Mathematics

1 answer:

JulijaS [17]3 years ago

5 0

Answer:

u = fv/(v - f)

Step-by-step explanation:

1/f = 1/u + 1/v

1/u = 1/f - 1/v = v/fv - f/fv = (v-f)/fv

1/u = (v-f)/fv

u = fv/(v - f)

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Question (X-5y/y3)-1=

Ilia_Sergeevich [38]

Answer:

$x = y^3+5y$

Step-by-step explanation:

Complete question

$\frac{x - 5y}{y^3} - 1=0\\$

Required

Solve for x

We have:

$\frac{x - 5y}{y^3} - 1=0$

Collect like terms

$\frac{x - 5y}{y^3} = 1$

Multiply through by $y^3$

$x - 5y = y^3$

Make x the subject

$x = y^3+5y$

8 0

2 years ago

. The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.

nikdorinn [45]

Answer:

w = 8 inches

Step-by-step explanation:

P = 2w + 2l

l = 3 + w

38 = 2w + 2(3 + w)

38 = 2w + 6 + 2w

38 - 6 = 4w

32 = 4w

w = 32 : 4

w = 8 inches

l = 3 + w

l = 3inches + 8inches

l = 11 inches

6 0

3 years ago

Read 2 more answers

Write a positive or negative integer an increase of $15

slamgirl [31]

Answer:

+15

Step-by-step explanation:

An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.

Additional comment

If units are dimes, then the number would be +150. So, you see, the units are important to know.

It also depends on what is increasing and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.

4 0

3 years ago

Determine the unknown side of the similar triangle. A) 2 B) 3 C) 4 D) 5

IceJOKER [234]

4 is correct. Set up a ratio relationship between similar triangles. $\frac{x}{6} = \frac{8}{12} ; x = \frac{48}{12} ; x = 4$

5 0

3 years ago

Polygon ABCD will be dilated by a scale factor of 2.2 with the origin as the center of dilation, resulting in the image A′B′C′D′

Citrus2011 [14]

m = undefined, C′D′ = 13.2 units

4 0

3 years ago