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Sloan [31]
3 years ago
6

If f(x) = -x^2 + 6x - 1 and g(x) = 3x^2 - 4x - 1, find (f + g)(x).

Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

f(x)=-x^2+6x-1 \\g(x)=3x^2-4x-1 \\f(x)+g(x)=-x^2+6x-1+3x^2-4x-1=\boxed{2x^2+2x-2}

The answer is A.

Hope this helps.

r3t40

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Adaline is designing a garden in the shape of a 45º-45º-90º triangle, with an area of 32 ft2. To the nearest foot, how much fenc
wel

Answer:

27 ft

Step-by-step explanation:

Given: A garden in the shape of a 45º-45º-90º triangle.

Area of triangle= 32 ft²

As given dimension of triangle, we understand that it is a right angle and triangle and since two angles are equal, therefore two sides of triangle are also equal.  

∴ Base and height will be equal.

Assuming base is also as "h"

Now, finding the length of base and height by using area of triangle formula.

Area of triangle=  \frac{1}{2} \times base\times height

⇒32= \frac{1}{2} \times h\times h  

Multiplying both side by 2

⇒64= h^{2}  

Square rooting both side, remember; √a²= a

⇒  \sqrt{64} = h

∴ h= 8 feet

Hence, both base and height of right angle triangle is 8 feet.

Next, finding total fencing required to enclose the garden.

Perimeter of garden is equal to the amount of fencing required by Adaline.

Therefore, finding the length of hypotenous of triangle too.

Using pythogorean theoram.

h^{2} = a^{2} +b^{2}, where a is the height and b is the base of triangle.

⇒ h^{2}= 8^{2}  +8^{2}

⇒ h^{2} = 128

Square rooting both side

⇒h= \sqrt{128}

∴ h= 11.3 feet

Perimeter of garden= base+height+hypotenous

⇒ Perimeter of garden= 8+8+11.3= 27.3\ feet \approx 27\ feet

Hence, 27 feet fencing is required to enclose the garden.

3 0
3 years ago
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I don't understand???? I'll give the brainliest!!!!!
olasank [31]

Answer:

<h2>37</h2>

Option A is the correct option.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  - 2ab \:  \cos \: c \:  =  {c}^{2}  \\ a = 4 \\ b = 5 \\ c = 2 \\  \\ 2ab \: cos \: c =  {a}^{2}  +  {b}^{2}  -  {c}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  =  {(4)}^{2}  +  {(5)}^{2}  -  {(2)}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  = 16 + 25 - 4 \\  \:  \:  \:  \:  \:  \:  = 41 - 4 \\  \:  \:  \:  \:  \:  \:   = 37

Hope this helps...

Good luck on your assignment...

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9x-6+6x-1=98
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Polygon Q's area is what fraction of Polygon P's area?
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Answer:

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Step-by-step explanation:

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