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3 years ago

Can anyone help me with this one please:)

Mathematics

2 answers:

mina [271]3 years ago

5 0

Answer:

Look below

Step-by-step explanation:

So you know a point and the slope, now you can substitute the values of the point for the equation.

9966 [12]3 years ago

5 0

Answer: y = (5/2)x + 7

Step-by-step explanation:

Plug in given numbers into the following equation:

y = mx + b

Solve for b:

-3 = (5/2)(-2) + b

-3 = -10 + b

b = 7

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2 years ago

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The surface area of a cuboid is 102 cm2. If its length is 2 cm and its breadth is 3 cm, find its height.

Anna11 [10]

Answer:

Height h = 9 cm

Step-by-step explanation:

Given:

Surface area of cuboid = 102 cm²

Length l = 2 cm

Breadth b = 3 cm

Find:

Height h

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Surface area of cuboid = 2[lb + bh + hl]

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51 = 6 + 3h + 2h

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3 0

2 years ago

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the function intersects its midline at (-pi,-8) and has a maximum point at (pi/4,-1.5) write an equation

Tcecarenko [31]

The equation that represents the <em>sinusoidal</em> function is $x(t) = -8 + 6.5 \cdot \sin \left[\left(\frac{2}{3} \pm \frac{4\cdot i}{3}\right)\cdot t + \left(\frac{2\pi}{3} \pm \frac{7\pi \cdot i}{3} \right)\right]$ , $i\in \mathbb{Z}$ .

<h3>Procedure - Determination of an appropriate function based on given information</h3>

In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline ( $x_{mid}$ ) and has both a maximum ( $x_{max}$ ) and a minimum ( $x_{min}$ ).

Sinusoidal functions have in most cases the following form:

$x(t) = x_{mid} + \left(\frac{x_{max}-x_{min}}{2} \right)\cdot \sin (\omega \cdot t + \phi)$ (1)

Where:

$\omega$ - Angular frequency
$\phi$ - Angular phase, in radians.

If we know that $x_{min} = -14.5$ , $x_{mid} = -8$ , $x_{max} = -1.5$ , $(t, x) = (-\pi, -8)$ and $(t, x) = \left(\frac{\pi}{4}, -1.5 \right)$ , then the sinusoidal function is: