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Alinara [238K]
3 years ago
10

Dentify the radius and the center of a circle whose equation is (x – 5)² + y² = 81. The radius of the circle is ___ units.

Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

Answer:

9 units

Center is at (5, 0)

Step-by-step explanation:

The radius of the circle is equal to the square root of 81

\sqrt{81} = ±9

Since the radius of a circle must be positive the answer is 9 units.

The center of the circle is at (5, 0)

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The diagram shows the distance a tortoise can walk if it walks at a constant pace for 15 minutes. At the same rate, how many kil
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Answer:

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Step-by-step explanation:

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3 years ago
How many faces does the polyhedron have? _ faces How many vertices does the polyhedron have? _vertices How many edges does the p
Sindrei [870]

The polyhedron has:

6 Faces, 8 vertices and 12 edges <u>in</u><u> </u><u>total</u><u>.</u>

But

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5 0
3 years ago
Consider the equation 21 = m + 14 1/6. Which step will help to solve this equation? A add 14 1/6 on both sides of the equation.
Furkat [3]

Answer:

B. subtract

Step-by-step explanation:

Subtracting is the opposite of adding which is what is originally in the equation, by subtracting you are canceling out the 14 1/6

7 0
2 years ago
HELP TUTOR…<br> ss<br> z<br> z<br> z<br> z
kondor19780726 [428]

Answer:

A)σ = 15.37 miles per hour

B) σ = 55.10 miles per hour

C) 39.73 miles per hour

Step-by-step explanation:

Formula for standard deviation is;

σ = √(Σ(x - μ)²)/(n - 1)

A) For large wild cats;

μ = Σx/n = (70 + 40 + 30 + 40 + 35 + 35 + 35 + 35 + 10)/9 = 36.67

σ = √((70 - 36.67)² + (40 - 36.67)² + (30 - 36.67)² + (40 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (35 - 36.67)² + (10 - 36.67)²)/(9 - 1)

σ = √236.1139

σ = 15.37

B) For various birds;

μ = Σx/n = (218 + 106 + 97 + 56 + 66 + 39 + 55 + 32 + 54 + 20 + 25 + 25)/12

μ = 66.0833

σ = √((218 - 66.0833)² + (106 - 66.0833)² + (97 - 66.0833)² + (56 - 66.0833)² + (66 - 66.0833)² + (39 - 66.0833)² + (55 - 66.0833)² + (32 - 66.0833)² + (54 - 66.0833)² + (20 - 66.0833)² + (25 - 66.0833)² + (25 - 66.0833)²)/(12 - 1)

σ = √3035.72

σ = 55.10

C) difference in standard deviations = 55.10 - 15.37 = 39.73 miles per hour

8 0
3 years ago
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
True [87]

Question is not complete, so i have attached it.

Answer:

B: -2x² - 6x² - 6x + 3x + 3 + 2

Step-by-step explanation:

From the image attached, the given polynomial is;

3 - 6x - 2x² + 3x - 6x² + 2

For like terms to be next to each other, we have to rearrange it as follows;

-2x² - 6x² - 6x + 3x + 3 + 2

Like terms are x² and x, thus they are now arranged next to each other.

The only option that corresponds to our answer is option B

8 0
3 years ago
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