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3 years ago

Rewrite as a positive exponent 5 – 2

Mathematics

1 answer:

Vadim26 [7]3 years ago

5 0

To express
5
−
2
as a positive exponent we will use this rule of exponents:
x
a
=
1
x
−
a
5
−
2
=
1
5
−
−
2
=
1
5
2

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Andrei [34K]

x = 20 - -5 = 20 + 5 = 25

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3 years ago

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Question 5:
the circumference is given by:
C = 2 * pi * r
Where,
r: radio of the ball
Substituting values we have:
22 = 2 * pi * r
Clearing r we have:
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Question 8:
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V1 = (k ^ 3) * V2
Substituting values we have:
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k = (729/2744) ^ (1/3)
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3 years ago

Read 2 more answers

Triangle ABC has vertices at A(-3,4)B(4,-2)C(8,3).The triangle is translated 4 units down and 3 units left . Which rule represen

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Answer:

see explanation

Step-by-step explanation:

A translation of 4 units down means subtract 4 from the y- coordinate of the original point and a translation of 3 units left means subtract 3 from the original x- coordinate, thus translation rule is

(x, y ) → (x - 3, y - 4 )

Thus

C(8, 3 ) → C'(8 - 3, 3 - 4 ) → C'(5, - 1 )

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3 years ago

Jacob has some cookies. 3/4 of his cookies are chocolate chip. Out of the chocolate chip cookies 1/8 of them have nuts as well.

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Well, we can find the answer by multiplying the two fractions. 3/4*1/8 equals 3/32.

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4 years ago

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Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

zalisa [80]

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

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3 years ago