3 years ago

Which is the graph of y = _0.4x? A. B. C. D.

1 answer:

8 0

Y = -0.4x

1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °

With all that information you can identify the graph, given that you didn't include the options.

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Question 16 (Essay Worth 7 points) Verify the identity. tan (x + π/2) = -cot x

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Step-by-step explanation:

We know that tan=sin/cos, so tan(x+π/2)=

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so our equation is then

$\frac{sin(x)cos(\pi/2)+cos(x)sin(\pi/2)}{cos(x+\pi/2)} = \frac{cos(x)}{cos(x+\pi/2) }$

Then, cos(u+v)=cos(u)cos(v)-sin(u)sin(v), so our expression is then

$\frac{cos(x)}{cos(x)cos(\pi/2)-sin(x)sin(\pi/2)} = \frac{cos(x)}{-sin(x)} = -cot(x)$

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3 years ago

Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decima

Natali5045456 [20]

Answer:

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Hope this helps!

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2 years ago

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The square shown has a perimeter of 32 units. The square

ivanzaharov [21]

Answer:

A cylinder with a circumference of about 60 units.

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3 years ago

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seraphim [82]

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

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