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3 years ago

Determine which rectangle was transformed to result in rectangle E

Mathematics

2 answers:

jenyasd209 [6]3 years ago

3 0

Answer:

Rectangle C

Step-by-step explanation:

Rectangle C was transformed to Rectangle E.

To see how this occurs, let's follow point F (-2, 5) through the two transformations.

(a) Reflection across the x-axis

The x-coordinate does not change, but the y-coordinate changes sign.

Thus, F ⟶ F' (-2, -5).

(b) Translating up two units

The x-coordinate does not change, but the y-coordinate increases by 2..

Thus, F' ⟶ F" (-2, -3).

You can follow the same transformations for the other three corners of rectangle C.

Rectangle C ⟶ Rectangle E

LekaFEV [45]3 years ago

3 0

Answer:

Rectangle B!!!!

Step-by-step explanation:

I took the QUIZ Trust me :)

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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the

Lisa [10]

Answer:

$\bold{495\pi} \approx \bold{1555.088 cm^3}$

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula $\bold{\pi r^2h}\\$

where r is radius of base of cylinder, h is the height

Volume of a cone is given by $\bold{\frac{1}{3} \pi r^2 h}$

where r is the radius of base of cone, h is the height

The radius of the cylinder = $\frac{1}{2}$ (diameter) = $\frac{1}{2}$ (12) = 6cm

Height of cylinder = 15cm

Volume of cylinder $V_{cyl} = \pi (6)^2 15 = \pi (36)15 = \bold{540\pi}$

Radius of cone = $\frac{1}{2}$ (radius of cylinder) = $\frac{1}{2}$ (6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, $V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 = \frac{1}{3}(9)15\pi = \bold{45\pi}\\$

Difference is the volume of the remaining solid

$V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}$

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Mashcka [7]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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abruzzese [7]

See the attached graph

<h2>Explanation:</h2>

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Suppose you have the following system of linear equation:

$\left\{ \begin{array}{c}y=2x+3\\3y=8x+27\end{array}\right.$