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uranmaximum [27]
3 years ago
5

A circle has the equation x2+y2−8x−2y−17=0.

Mathematics
1 answer:
natali 33 [55]3 years ago
5 0

Answer:

A

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

Given

x² + y² - 8x - 2y - 17 = 0

Collect the x- terms and the y- terms together and add 17 to both sides

x² - 8x + y² - 2y = 17

Use the method of completing the square on both x and y terms.

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1

(x - 4)² + (y - 1)² = 34 → A

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There is a sequence of rigid transformations that takes A to A', B to B', and C to "
Marina CMI [18]

Answer:

I think it's D

Step-by-step explanation:

8 0
3 years ago
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

4 0
3 years ago
the home of bill burton is assessed at $91,000. the tax rate is 18.5 mills. what is the property tax on bills home?
IrinaVladis [17]

Answer:

  $1683.50

Step-by-step explanation:

You are expected to know that a "mill" is one thousandth of a dollar. In this context, it is the amount of tax on one dollar of assessed valuation. So, the tax amount is found by multiplying the valuation by 18.5/1000:

  tax = 0.0185 · $91,000 = $1683.50

6 0
3 years ago
Order the numbers from least to greatest<br><br> −1.4,−85, 0.6,−0.9, 14
Ksivusya [100]

Answer:

-85, -1.4, -0.9, 0.6, 14

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
2.
scZoUnD [109]

Inversely proportional : it is relationship between two variables in which when one variable's value is increasing than other one is decreasing.

Situation A : The number of miles Rashid drives increases over a period of 5 hours.

→ in this situation both variable no. of miles and period of time are increasing. so it is not represent a inversely proportional relationship.

in next two situation , two variables are increasing with each other.

so we take last situation ↓

Situation : Robin has $100 to share evenly with his cousins at the fair. As the number of cousins who arrive increases, the amount that each person receives

decreases.

→ in this situation , both variable viz no. of cousins and amount they got is inversely proportional to each other. when no. of cousins are increasing than amount is decreasing. so this last one situation represent the inversely proportional relationship.

thanks ❤

4 0
3 years ago
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