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3 years ago

√21 + √13 + √7 + √4 =

Mathematics

1 answer:

koban [17]3 years ago

4 0

13.4796295925
(calculator used)

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Which expression is equal to f(x)/g(x)

Pani-rosa [81]

Answer: i'd say c

Step-by-step explanation:

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3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

3 years ago

The hypotenuse of a right triangle is 26 millimeters. One leg of the right triangle is 10 millimeters. What is the length of the

eimsori [14]

Answer: 24 millimeters

the length of the other leg is x (x > 0)(millimeters)

using Pythagoras theorem with the right triangle, we have:

x² + 10² = 26²

⇔ x² = 26² - 10² = 576

=> x = 24 (mm)

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is 2^ + 2^? (^ means squared for those who can't math.)

Andrei [34K]

Answer:

2^2 + 2^2 = 8

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3 years ago

Elizabeth has two ribbons. One is 1/7 foot long. The other is 2/5 foot long. Write them with a common denomitator

ycow [4]

Answer:

1/7 and 2/5

LCM: 35

5/35 and 14/35

5 0

3 years ago