3 years ago

Complete the patterns

1 answer:

7 0

A. 0.02 0.2 2 20 200 2000
b. 3,400,000 , 34,000 , 340 ,3.4, 0.034
c. 85700 8,570 857 85.7 8.57 0.857
d. 444 4440 44,400 444,000 4,440,000 44,400,000
e. 0.095 9.5 950 95,000 9,500,000 950,000,000

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Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

IrinaK [193]

Answer:

Equation of the circle (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

Centre = $(\frac{-2+8}{2} ,\frac{1+9}{2} )$

Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }$

$PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }$

PQ = √164 = 12.8

Diameter d = 2r

radius r = d/2

Radius r = 6.4

Final answer:-

Equation of the circle

(x-h)²+(y-k)² = r²

(x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x +y² -10y = 40.96-34

x² -6x +y² -10y -7= 0

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Put these numbers in order 55, 52, 46, 52, 46, 43, 49, 56, 42

Sphinxa [80]

Answer: 55

Step-by-step explanation:

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The number of kilometers George ran is equal to the product of two odd integers. George May have run ? kilometers.

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B. 11
Although eleven is a prime number, it's two factors (1 and 11) are odd integers

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1/2

This is the correct answer

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