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3 years ago

For the transformation T, write the T-1. T: (x, y) ( 2x, y + 5) T -1 (x, y) (x - 2, y - 5) (2x - 1, y + 4) (½x, y - 5)

Mathematics

1 answer:

NARA [144]3 years ago

4 0

<h3>Answer: Third choice</h3><h3>(½x, y - 5)</h3>

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Explanation:

The original transformation (2x, y+5) takes any x value and doubles it. So the inverse of this is to cut the x value in half. We can say x/2 since division is the opposite of multiplication. The value x/2 is the same as ½x

For the y coordinate, we add on 5 for the original transformation. Subtraction undoes addition meaning the inverse will have y-5.

Side note: the inverse notation $T^{-1}$ can be written as T^(-1).

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Encuentra la pendiente de la recta formada por los puntos A( 3 , -2 ) Y B( -5 , 3 )

QveST [7]

Answer:

$\frac{5}{-8}$ or -0.625

Step-by-step explanation:

The slope formula is as shown:

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1}}$

We can have A = ( $x_{1}$ , $y_{1}$ ) and B = ( $x_{2}$ , $y_{2}$ ).

We can hence plug in the values into the formula to get $m=\frac{3-(-2)}{-5-3}$ .

As we simplify, the negatives on the top row cancel out to give us an addition sign instead and we add them.

$m=\frac{5}{-8}$

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2 years ago

98 Points !! These are follow up according to previous question that had been answered for me. Help would be appreciated ! :))

IgorLugansk [536]

That's a copy of the figure from the other post; I didn't look at the answer.

We have Start(0,0)

$A(-16.55\cos 25, -16.55 \sin 25)$

$B=A+(5 \cos 53, 5 \sin 53)$

$C=B+(20,0)$

$C=(-16.55\cos 25 + 5 \cos 53+20, -16.55 \sin25 - 5 \sin 53)$

$C \approx (8.00968, -10.9875) \approx(8,-11)$

Your team takes the direct path at a constant speed of 6 miles per hour.

<span>Our team. $T=\sqrt{8^2+11^2}/6 = 2.27 \textrm{ hours}$

</span><span>Team Red follows the riddle and travels at 8 mph from Start to Post A, 9 mph from Post A to Post B, and 11 mph from Post B to Finish.

$T=16.55/8 + 5/9 + 20/11 = 4.44 \textrm{ hours}$

Team Blue follows the riddle and travels at a constant speed of 10 mph.

</span> $T=(16.55 + 5 + 20)/10 = 4.155 \textrm{ hours}$
<span>
Team Yellow follows the riddle and travels at a constant speed of 11 mph, but stops at Post A for 30 minutes and stops again at Post B for another 30 minutes.
</span>
$T=(16.55 + 5 + 20)/11 + 30/60 + 30/60=4.78 \textrm{ hours}$

Winner: our team, then Blue, then Red, then Yellow

<span>
</span>

3 0

3 years ago

A ramp 17 1/2 feet in length rises to a loading platform that is 3 1/2 feet off the ground. Find the angle that the ramp makes w

faltersainse [42]

Answer:

The angle that the ramp makes with the ground is 11.54°

Step-by-step explanation:

From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.

We can use the fact that the sin(θ) = $\frac{Opposite}{Hypotenuse}$ to find the angle that the ramp makes with the ground.