For number 14: 20 is not a perfect number and 21 is a perfect number
for number 15: 7 and 9
& 11 and 13
Answer:
A,B,C,D
Step-by-step explanation:
I just looked at which number is greater
Answer:
and
.
Step-by-step explanation:
Equation:
![\rm \: \: (2x - 1)(3x + 4) = 0](https://tex.z-dn.net/?f=%20%5Crm%20%5C%3A%20%20%5C%3A%20%282x%20-%201%29%283x%20%2B%204%29%20%3D%200)
Solution:
Set factors equal to zero,that is:
![(2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)](https://tex.z-dn.net/?f=%282x%20-%201%29%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20...%281%29)
![(3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)](https://tex.z-dn.net/?f=%283x%20%2B%204%29%20%3D%200%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20...%282%29)
Solving for equation 1:
Solving for equation 2:
Hence,the solutions to the quadratic equation in factored form is
and
.
![\rule{225pt}{2pt}](https://tex.z-dn.net/?f=%5Crule%7B225pt%7D%7B2pt%7D)
Good luck on your assignment!
That would be four pounds, four feet and four inches are measurements of length not weight. Ounces are way to light for a stapler. Four ounces would be a small cup paper cup filled with water (something like that), thus making it four pounds.<span />
The equation of the circle with the new point will be x² + ( y - 2 )² = 16.
<h3>What is a circle?</h3>
The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.
Given that:-
- The circle is translated as 2 units up.
The equation of the circle will be formed as:-
We know that the general form of the circle is given as
( x - h )² + ( y - k )² = r²,
where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-
x² + ( y - 2 )² = 16
Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.
Learn more about Circle here:
brainly.com/question/12908707
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