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4 years ago

Select the denominator of 4/9

Mathematics

1 answer:

Assoli18 [71]4 years ago

5 0

The denominator is the one on the bottom so 9 is the denominator the top is the numerator

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An automobile travels past the farmhouse at a speed of v = 45 km/h. How fast is the distance between the automobile and the farm

yulyashka [42]

Answer:

$\frac{ds}{dt} = 39.586 km/h$

Step-by-step explanation:

let distance between farmhouse and road is 2 km

From diagram given

p is the distance between road and past the intersection of highway

By using Pythagoras theorem

$s^2 = 2^2 +p^2$

differentiate wrt t

we get

$\frac{d}{dt} s^2 = \frac{d}{dt} (4 + p^2)$

$2s \frac{ds}{dt} =2p \frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{s}\frac{dp}{dt}$

$\frac{ds}{dt} = \frac{p}{\sqrt{p^2 +4}} \frac{dp}{dt}$

putting p = 3.7 km

$\frac{ds}{dt} = \frac{3.7}{\sqrt{3.7^2 +4}} 45$

$\frac{ds}{dt} = 39.586 km/h$

3 0

4 years ago

Can You Please Help Me With This

nadezda [96]

The answer is “2/3”
Ye

4 0

3 years ago

Trig help please!! Will give brainliest to correct answers only

BabaBlast [244]

I think the answer is 2,2 I’m not sure

7 0

4 years ago

If f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4)

Likurg_2 [28]

Answer:

Part 1: Find (f/g)(4) = 3

Part 2: Find (f+g)(4) = 28

Step-by-step explanation:

Part 1: Find (f/g)(4):

(f/g)(4) means divide f function by g function and simplify it. Then plug in 4 into x of that simplified function.

Let's do this:

$\frac{x^2+2x-3}{x^2-9}\\=\frac{(x+3)(x-1)}{(x-3)(x+3)}\\=\frac{x-1}{x-3}$

Plugging in 4 into x gives us:

$\frac{x-1}{x-3}\\=\frac{4-1}{4-3}\\=\frac{3}{1}\\=3$

The answer is 3

Part 2: Find (f+g)(4):

(f+g)(4) means add f function and g function and simplify it. Then plug in 4 into x of that simplified function.

Let's do this:

$(x^2+2x-3)+(x^2-9)\\=2x^2+2x-12$

Plugging in 4 into x gives us:

$2x^2+2x-12\\=2(4)^2+2(4)-12\\=28$

The answer is 28

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3 years ago

Three years ago, Sherman was twice as old as Clive. If Clive’s present age is c, which expression represents Sherman’s present a

Dennis_Churaev [7]

The answer is D

Sherman would still be double Clive's age (2c) and he would have aged 3 years (+3)

5 0

3 years ago