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weqwewe [10]
3 years ago
12

Can the segments 70,45,110 produce a triangle

Mathematics
2 answers:
Alina [70]3 years ago
7 0
Yes... have a nice day

Sauron [17]3 years ago
3 0
No because that is much more than 180 degrees.
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If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
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3 years ago
Suppose y varies inversely with x. Write an equation if y=7 when x=-4
luda_lava [24]

Answer:

y = -28 ÷ x

Step-by-step explanation:

The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.

So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x

K = constant, we have to work this out

7 = k ÷ -4

7 × - 4 = k

k = - 4 × 7

k = -28

k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x

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Answer:

Step-by-step explanation:

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