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REY [17]
4 years ago
5

Simplify. Brainliest, help asap! <3

Mathematics
2 answers:
Mariana [72]4 years ago
8 0
-4 for the first one and 2/3 for the second
Ksenya-84 [330]4 years ago
6 0
The second one is -4. the square root of 64 is 8 and the square root of 144 is 12. 8-12 is -4.

oops i went out of order sorry

the first one is is 2/3. although you may think it is 4/9, 4/9 is not fully simplified.
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Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: Let f(x)=√x. Find the equation of the tangent
Ivahew [28]

Answer:

L(x)=\frac{1}{8}x+2\\ L(16.4)=4.05

Step-by-step explanation:

The equation for a tangent line of f(x) in the point (a,f(a)) can be calculated as:

L(x) = f(a) + f'(a)(x-a)

Where L(x) is also call a linear approximation and f'(a) is the value of the derivative of f(x) in (a,f(a)).

So, the derivative of f(x) is:

f(x)=\sqrt{x} \\f'(x)=\frac{1}{2\sqrt{x} }

Then, to find the linear approximation we are going to use the point (16, f(16)). So a is 16 and f(a) and f'(a) are calculated as:

f(16)=\sqrt{16}=4\\f'(16)=\frac{1}{2\sqrt{16} }=\frac{1}{8}

Then, replacing the values, we get that the equation of the tangent line in (16,4) is:

L(x)=4+\frac{1}{8}(x-16)\\L(x) = \frac{1}{8}x+2

Finally, the approximation for \sqrt{16.4} is:

L(16.4)=\frac{1}{8}(16.4)+2\\ L(16.4)=4.05

6 0
3 years ago
7th grade math question please help me?!
topjm [15]

Answer:

D

Step-by-step explanation:

Since X's are also 3 and constants are also 3 so it makes up the equation

3x+3

3 0
3 years ago
Wich of these are part of the irrational number set ?
Ne4ueva [31]
An irrational number is a number than can't be put into a fraction. and is usually REALLY long number with decimal and does not have repeating numbers

A. 3/4 = 0.75 It is a fraction 

B. √225 = 15 It is a whole number

C. √17 = 4.1231056245617.... It is an irrational number

D. 175.2845 It is not irrational and can be put into a fraction (175  \frac{569}{2000})

4 0
3 years ago
10. Determine the measure of each segment. Select the statement that is true.
Pepsi [2]

its A.

Step-by-step explanation:

its B

6 0
2 years ago
Jan Quint earn 11.00 an hour at her job and is entitled to time and a half for overtime and double time on holidays last week sh
Likurg_2 [28]
Looks like you didn't finish because there is no question.  I'll break that problem down for you and hopefully the missing question will be answered. :) 

$11 x 40h = $440
Overtime pay and holiday pay is time and a half = $11 x 1.5 = $16.50
$16.50 x 9 hours overtime = $148.50
$16.50 x 12 hours holiday = $198.00
Holiday and OT= $346.50
Total of check including regular hours, holiday pay and overtime = $786.50
6 0
3 years ago
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