MATHEMATICS HIGH SCHOOL

1)SURFACE AREA
13 ft ▪️ square
What would be the surface area of a 13ft square
SURFACE AREA:

Answers

Answer 1
Answer:

Answer: multiply by the number of faces

Step-by-step explanation:

If it is a square then you would do 13 x 13 = 169, that is the amount for one face. Then, multiply 169 times how many faces there are to find the surface area.

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If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.
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∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38.

What is the value of x?

Answers

As they are vertical angles, their magnitude will be equal.
8x+8 = 2x+38
8x-2x = 38-8
6x = 30
x = 5

So, Your Final Answer would be 5

Hope this helps!

Your Final Answer would be 5

Hope this helps!

Which region of the country had an agricultural based economy?

Answers

Answer:

This is not math this is History

Step-by-step explanation:

The 2004 Tour de France was 3391.1 kilometers.The winner won the trace in a little over 83.5 hours fill in the blank to find the winners average speed in meters per hour.

Answers

Answer:

To find the winner's average speed in meters per hour, you can first convert the kilometers to meters and the hours to seconds. Then, divide the distance by the time.

1 kilometer = 1000 meters

1 hour = 3600 seconds

So, the distance in meters is:

3391.1 kilometers * 1000 meters/kilometer = 3,391,100 meters

And the time in seconds is:

83.5 hours * 3600 seconds/hour = 300,600 seconds

Now, calculate the average speed:

Average Speed = Distance / Time

Average Speed = 3,391,100 meters / 300,600 seconds

Average Speed ≈ 11.28 meters per second

To convert this to meters per hour:

11.28 meters per second * 3600 seconds/hour ≈ 40,608 meters per hour

So, the winner's average speed in meters per hour was approximately 40,608 meters per hour.

Step-by-step explanation:

Factor completely, the expression: 2x^3-2x^2-12x show work please.

Answers

2x^3-2x^2-12x =2x(x^2-x-6)=2x(x^2-x-2x+2x-6) =\n \n= 2x [(x^2-3x +2x-6)]= 2x [x(x -3 ) +2(x-3) ]=\n \n = 2x (x -3 ) (x+2)
Extract a 2x from the expression to make it
2x(x^2-x-6).
Factor out x^2-x-6:------------------>must factors must multiply to -6 and add to -1
-3 and 2 fit the criteria therefore
x^2-x-6 factors out to (x-3)(x+2).

But dont forget to put it all back together. The 2x is part of the expression so the full factored expression is:

2x(x-3)(x+2)

What is the line symmetry for the graph of y= -3x^2+12x-11

Answers

Answer:

The line of symmetry is x=2

Step-by-step explanation:

Given:y=-3x^2+12x-11

We are given a quadratic equation and to find the line of symmetry.

As we know the line of symmetry of parabola passes through the x value of vertex.

If vertex of parabola is (h,k) then equation of line of symmetry x=h

So, first we find the vertex of parabola.

For equation: y=ax^2+bx+c

x=-(b)/(2a)

For given equation, a=-3 and b=12

Therefore, x=-(12)/(2(-3))

x=2

Hence, The line of symmetry of given parabola is x=2
The answer to your question is x=2. what you want to do is find both the x values for your quadratic equation and then add them and divide by 2.

Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Answers

y = (1)/(24)(x+1)^2 - 3\n\ny+3 =(1)/(24)(x+1)^2\ \ / *24\n\n (x+1)^2 = 24(y+3)

This   is  an  equation  of  a  parabola  that  opens  upwards.

Its \ standard \ form: \n(x-h)^2=4p(y-k)\n (h,k)=(x,y) \ coordinates \ of \ the \ vertex\n\ (h,k)=(-1,-3) \n\naxis \ of \ symmetry: \ x= -1\n \n4p=24\ \ /:4\np=6

focus:(h,k+p)=(-1,-3+6)=(-1,3) \n \ndirectrix: \ y=k-p=-3-6=-9
the\ equation\ in\ the\ form\ (x-h)^2=4p(y-k)\ is \ a\ parabola\nwith\ a\ vertex\ at\ \ (h,\ k), \na\ focus\ at\ \ (h,k+p)\n\ and\ a\ directrix\ \ y = k - p \n\n y = 1/24(x+1)^2 - 3\ \ \ \ \Rightarrow\ \ \ y+3 = 1/24(x+1)^2\ /\cdot24\n\n 24\cdot(y+3)=(x+1)^2\n\n(x+1)^2=4p(y+3)\ \ \Rightarrow\ \ 4p=24\ \ \Rightarrow\ \ p=6\ \ \ and\ \ \ h=-1,\ k=-3\n\nthe\ vertex:\ \ \ (h;\ k)=(-1;\ -3)\n\nthe\ focus:\ \ \ (h;\ k+p)=(-1;\ -3+6)=(-1;\ 3)\n\nthe\ directrix:\ \ \ y=k-p\ \ \ \Rightarrow\ \ \ y=-3-6=-9
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