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4 years ago

I need help with 25. 26. And 27 plz I don’t know how

Mathematics

1 answer:

luda_lava [24]4 years ago

4 0

Answer:

25. 8ft

26. 3m

27. 7cm

Step-by-step explanation:

Because it says each is an area of a sqare the square root will give you the side length

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3 years ago

In the school band, there are 4 trumpet players and F flute players.The total number of trumpet and flute players is 12. Are the

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What goes in the blank below.

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Answer:

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3 years ago

Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and passes through the point (2,

azamat

By "slope" I assume you mean slope of the tangent line to the parabola.

For any given value of x, the slope of the tangent to the parabola is equal to the derivative of y :

$y=ax^2+bx+c\implies y'=2ax+b$

The slope at x = 1 is 5:

$2a+b=5$

The slope at x = -1 is -11:

$-2a+b=-11$

We can already solve for a and b :

$\begin{cases}2a+b=5\\-2a+b=-11\end{cases}\implies 2b=-6\implies b=-3$

$2a-3=5\implies 2a=8\implies a=4$

Finally, the parabola passes through the point (2, 18); that is, the quadratic takes on a value of 18 when x = 2:

$4a+2b+c=18\implies2(2a+b)+c=10+c=18\implies c=8$

So the parabola has equation

$\boxed{y=4x^2-3x+8}$

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3 years ago