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2 years ago

(x - 2)2 + (y + 3)2 =1). What is the radius ?

Mathematics

1 answer:

tia_tia [17]2 years ago

7 0

Answer:

radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 2)² + (y + 3)² = 1 ← is in standard form

with r² = 1 ( take the square root of both sides )

r = $\sqrt{1}$ = 1

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A typical marathon is 26.2 miles. Allan averages 12 kilometers per hour when running in marathons. Determine how long it would t

Natali [406]

Answer:

The time taken by Allan to complete the marathon 3.5 hours

Step-by-step explanation:

Given as :

The distance cover in marathon = d = 26.2 miles

∵ 1 mile = 1.609 km

So, d = 26.2 × 1.609 km

i.e d = 42.155 kilo meter

The average speed of Allan = s = 12 km per hour

Let the time taken by Allan to complete the marathon = t hours

Now, ∵ Time = $\dfrac{\textrm Distance}{\textrm Speed}$

Or, t = $\dfrac{\textrm d}{\textrm s}$

Or, t = $\dfrac{\textrm 42.155 km}{\textrm 12 kmph}$

or, t = 3.512 hours

So , The time taken by Allan to complete the marathon = t = 3.5 hours

Hence, The time taken by Allan to complete the marathon 3.5 hours Answer

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2 years ago

Vertical analysis (common-size) percentages for Vallejo Company’s sales, cost of goods sold, and expenses are listed here.

dybincka [34]

Cost of goods sold - expenses = net income
do this for each year and compare.

6 0

2 years ago

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ioda

Answer: The first option with sss as part of the proof

Step-by-step explanation:

The lengths of the arcs drawn in the constructions are the same, so when the line is drawn, the lengths of the sides will all be the same. SSS is proof of congruence.

CPCTC is an acronym for "corresponding parts of congruent triangles are congruent."

7 0

2 years ago

Read 2 more answers

Please helppp meee I need it done noww

bearhunter [10]

Answer:

7/2

Step-by-step explanation:

3 wholes is equal to 6 halves plus a half equals 7 halves

6 0

3 years ago

Josie is training for a race the ratio of the number of minutes she wants to the number of miles she wants is 2043 she plans to

guajiro [1.7K]

Answer:

Josie takes 0.93 minutes to run 2 miles.

Step-by-step explanation:

We are given the following in the question:

Ratio:

Number of minutes: Number of miles = 20:43

Josie wants to run 2 miles. We have to find the number of minutes she need to run to maintain the ration.

Let x be the number of minutes Josie run.

This can be done in the following manner:

$\dfrac{20}{43} = \dfrac{x}{2}\\\\\Rightarrow x = \dfrac{20}{43}\times 2\\\\\Rightarrow x = 0.93$

Thus, Josie takes 0.93 minutes to run 2 miles.

8 0

2 years ago