Graph the function y= -1.5x to the second power

2 answers:

8 0

First, find out what -1.5 is to the 2nd power, then graph. If you don't know how to graph it, message me and I'll show you on paper

balandron [24]3 years ago

4 0

Y= -1.5^2 ? is this the question

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An airplane pilot over the Pacific sights an atoll at an angle of depression of 10°. At this time, the horizontal distance from

Alex17521 [72]

The question was posted incomplete.

This is the part missing:

<span>What is the height of the plane to the nearest meter?

Answer: 559 m.

Explanation:

1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.

2) Therefore, you can use the tangent trigonometric ratio:

tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance

⇒ height = horizontal distance × tan (10°)

⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559
</span>

6 0

3 years ago

Please help me <br> Show your work <br> 10 points

Svet_ta [14]

<h2>Answer</h2>

After the dilation $\frac{5}{3}$ around the center of dilation (2, -2), our triangle will have coordinates:

$R'=(2,3)$

$S'=(2,-2)$

$T'=(-3,-2)$

<h2>Explanation</h2>

First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:

$(x,y)$ → $(x-2, y+2)$

Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor $\frac{5}{3}$ . Therefore our second partial rule will be:

$(x,y)$ → $\frac{5}{3} (x-2,y+2)$

$(x,y)$ → $(\frac{5}{3} x-\frac{10}{3} ,\frac{5}{3} y+\frac{10}{3} )$

Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)

$(x,y)$ → $(\frac{5}{3} x-\frac{10}{3}+2,\frac{5}{3} y+\frac{10}{3}-2)$