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love history [14]
3 years ago
14

You are standing outside of a circle at point A. You know that you are 12 ft from a tangent point of the circle. You also know t

hat you are 8 ft from another point on the circle. What is the radius of the circle? Level

Mathematics
1 answer:
charle [14.2K]3 years ago
5 0

Answer:

R = 5 ft

Step-by-step explanation:

Pythagorean theorem

x² + 12² = (x + 8)²

x² + 144 = x² + 16x + 64

       16x = 80

          x = 5

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D: 11

Step-by-step explanation:

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Pls help me on this, I need to know about the expressions and pictures
saul85 [17]
Start by expanding the brackets "2(x+4)". Then, start collecting similar terms (those that have "x" with each other, and those that dont have "x" go together). Finally, your answer should be "3x + 5 - 2x - 8 + 3" which is equal to just x.
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Solve for C.<br> 5/4= -4c + 1/4
dybincka [34]
5/4= -4c + 1/4

Inverse operation

\frac{5}{4} = -4c + \frac{1}{4}

- 1/4             -1/4

5/4 - 1/4 = 4/4

\frac{4}{4} = -4c
-4c/-4  = 4/4 ÷ -4/1 

4/4 *- 1/4 = c
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6 0
3 years ago
Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4. If the numerator
Maru [420]

Answer:

a=2, b=5

Step-by-step explanation:

Let

n -----> the denominator

we have

3.5*10^4=\frac{7*10^9}{n}

Solve for n

That means -----> isolate the variable n

Multiply by n both sides

3.5*10^4(n)=7*10^9

Divide by 3.5*10^4 both sides

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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,

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A"(-2, 1) → A'(-2k, k)

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