3 years ago

the sum of three consecutive odd numbers equals an even integer is this sometimes, always, or never true

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Never true.

the sum of 3 odd numbers is always odd

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Find three consecutive odd integers such that the sum of the first and the third is 34,

nataly862011 [7]

Answer:

15,17,19

Step-by-step explanation:

assume the first number is X which means the third number will be X+4 so X+ X+4=34

solve for X which will be 15

thus the numbers are 15,17 and 19

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3 years ago

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krek1111 [17]

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3 years ago

Recall the equation for a circle with center (h,k) and radius r. At what point in the first quadrant does the line with equation

IgorC [24]

Answer:

At intersection

x=2.68

y=5.34

Step-by-step explanation:

Equation of circle with center (h,k) and radius r is

$(x-h)^{2}+(y-k)^{2}=r^2\\\\With\,\, center\,\,(0,4)\,\, and\,\, r=3\\\\(x-0)^{2}+(y-4)^{2}=3^2\\\\x^2+(y-4)^{2}=9---(1)\\\\Equation\,\,of intersecting\,\,line\\y=0.5x+4---(2)$

To find point of intersection:

From (2)

$x=\frac{y-4}{0.5}=2(y-4)\\\\x^2=4(y-4)^{2}\\\\Put\,\,in\,\,(1)\\\\4(y-4)^{2}+(y-4)^{2}=9\\\\5(y-4)^{2}=9\\\\y-4=\frac{3}{\sqrt{5}}\\\\y=1.34+4\\\\y=5.34\\\\x=2(5.34-4)\\\\x=2(0.34)\\\\x=2.68$