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Alex73 [517]
3 years ago
6

This diagram shows the dimensions of a concrete piece used to build a deck.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

If you help me with my last question I will help you with this one

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Consider the line y=1 x -1 and the point P=(2,0).
Montano1993 [528]

Answer:

Step-by-step explanation:

d(x)=√((x-2)2+(y-0)²)

=√((x-2)²+y²)

=√((x-2)²+(x-1)²)

=√(x²-4x+4+x²-2x+1)

=√(2x²-6x+5)

D=d²(x)=2x²-6x+5

b.\\\frac{dD}{dx}=4x-6\\\frac{dD}{dx}=0,gives \\4x-6=0\\x=\frac{3}{2}\\\frac{d^2D}{dx^2}=4 >0 at x=\frac{3}{2}\\so~D~or~d^2~or~d~is~minimum~at~x=\frac{3}{2}\\so~y=1(\frac{3}{2} )-1=1/2=0.5\\so~nearest~point~is~(1.5,0.5)

8 0
3 years ago
Round the number 14.63157 to the nearest ten-thousandth.
Anit [1.1K]

Answer:

14.6316

Step-by-step explanation:

The place value ten-thousandth falls on number 5. The following number is 7 and because 7 is greater than 5, "5" turns into 6.

Hope it helps!

8 0
3 years ago
Read 2 more answers
What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
KIM [24]

Answer:

f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }

Step-by-step explanation:

We have to find the derivative of the following function:

f(x) = \frac{4x^{6} }{\cos^{5} x }

Now, differentiating both sides with respect to x we get,

f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}

⇒ f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x } (Answer)

{Since, we know that, \frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)} and \frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x) }

5 0
4 years ago
What is the solution to the inequality below
Butoxors [25]

Answer:

Hello! Your answer would be, A)x ≤ 10

Step-by-step explanation:

Hope I helped! Ask me anything if you have questions! Brainiest plz. Hope You make a 100%! Have a nice day! -Amelia♥

4 0
3 years ago
If the 897 step stairwell has 50 landings, how many steps would be between landings
guapka [62]

Answer:

17.94

I think you would do 897 divided by 50. Tell me if im wrong.

8 0
3 years ago
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