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3 years ago

Could someone explain things like radicals with variables that are raised to powers. plz,

1 answer:

5 0

When radicals (square roots) include variables, they are still simplified the same way. We just have to work with variables as well as numbers

1) Factor the radicand (the numbers/variables inside the square root). Factor the number into its prime factors and expand the variable(s).

2) Bring any factor listed twice in the radicand to the outside

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Graph the image of this quadrilateral after a dilation with a scale factor of 4 centered at the origin

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Answer: The image is attached.

Step-by-step explanation:

A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

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Since:

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You can identify that the vertices of the pre-image shown in the figure, are:

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So you need to multiply the coordinates of those vertices by 4 in order to get the coordinates of the image;

$((-2)(4),1(4))=(-8,4)\\\\((-1)(4),(2)(4))=(-4,8)\\\\((0)(4),(0)(4)=(0,0)\\\\((-1)(4),(-2)(4))=(-4,-8)$

Now you can draw it (The image is attached).

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3 years ago

A student has 6 nickel 14 dimes and 8 quarter. What is the total number of coins?

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Which of the following rules should be used to keep the appropriate distance between your vehicle and the vehicle in front of yo

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Can someone help me with this?

forsale [732]

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

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2 years ago