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Bond [772]
2 years ago
5

True or false? Based only on the given information, it is guaranteed that

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
8 0

Answer:

True

Step-by-step explanation:

The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/

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A rectangular table is four times as long as it is wide. If the area is 36 ft2, find the length and the width of the table.
FrozenT [24]

Answer:

The width is 3 ft

The length is  12 ft

Step-by-step explanation:

Let w = width

l = 4w

A = l*w

Replace length with 4w

A = 4w*w

36 = 4 w^2

Divide each side by 4

36/4 = 4w^2/4

9 = w^2

Take the square root of each side

sqrt(9) = sqrt(w)

3 =w

The width is 3 ft

The length is 4*3 = 12 ft

5 0
3 years ago
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5<br> Tom and Dipak share $114 in the ratio 7:5<br> Work out how much Dipak gets.
erma4kov [3.2K]
7+5 is 12. 114 divided by 12 is 9.5 so one part is 9.5. Dipaks share is 5 so 9.5 multiplied by 5 is 47.5 so the answer is $47.50
8 0
2 years ago
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Can you help me solve this word problem?
lys-0071 [83]
Yes, sure. I would love to help out in any way that I possibly can
7 0
3 years ago
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Someone please help, i’m stuck
german

Answer:

o is there

2x-2

0 is answer

8 0
2 years ago
Please help me with 2b ASAP. <br> Really appreciate it!!
Bogdan [553]

f(x)=\dfrac{x^2}{x^2+k^2}

By definition of the derivative,

f'(x)=\displaystyle\lim_{h\to0}\frac{\frac{(x+h)^2}{(x+h)^2+k^2}-\frac{x^2}{x^2+k^2}}h

f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^2(x^2+k^2)-x^2((x+h)^2+k^2)}{h(x^2+k^2)((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{(x+h)^2-x^2}{h((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h((x+h)^2+k^2)}

f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2x+h}{(x+h)^2+k^2}

f'(x)=\dfrac{2xk^2}{(x^2+k^2)^2}

\dfrac{k^2}{(x^2+k^2)^2} is positive for all values of x and k. As pointed out, x\ge0, so f'(x)\ge0 for all x\ge0. This means the proportion of occupied binding sites is an increasing function of the concentration of oxygen, meaning the presence of more oxygen is consistent with greater availability of binding sites. (The question says as much in the second sentence.)

7 0
2 years ago
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