Slope (y2-y1)/(x2-x1)
(-3-9)/(15-19) = -12/-4 = 3
The slope is 3
Answer:
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Step-by-step explanation:
Answer:
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<u>Circumference</u><u> </u><u>of </u><u>a </u><u>circle </u><u>is </u><u>given </u><u>by </u>
<u>
</u>
- Given - <u>Diameter</u><u> </u><u>of </u><u>circle </u><u>=</u><u> </u><u>1</u><u>0</u><u> </u><u>yards</u>
![radius = \frac{diameter}{2} = \frac{10}{2} \\ \\ \implies \: 5 \: yards](https://tex.z-dn.net/?f=radius%20%3D%20%20%5Cfrac%7Bdiameter%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B10%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%205%20%5C%3A%20yards)
now ,
<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>r </u><u>in </u><u>the </u><u>formula </u><u>of </u><u>circumference</u><u> </u><u>~</u>
![C = 2 \times \frac{22}{7} \times 5 \\ \\ \implies \: C = \frac{220}{7} \\ \\ \implies \: C = 31.43 \: yards \: (approx.)](https://tex.z-dn.net/?f=C%20%3D%20%202%20%5Ctimes%20%20%5Cfrac%7B22%7D%7B7%7D%20%20%20%5Ctimes%205%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20C%20%3D%20%20%5Cfrac%7B220%7D%7B7%7D%20%20%5C%5C%20%20%5C%5C%20%5Cimplies%20%5C%3A%20C%20%3D%2031.43%20%5C%3A%20yards%20%5C%3A%20%28approx.%29)
hope helpful :D
The given numbers are 13, 27, 81, 21,43, 48,23,39,45.
Square number is that number which is a perfect square means if you multiply a number by itself the number you obtained is a perfect square i.e it's square root is a natural number.
√13=not a natural number
√27=√3×√3×√3=3√3=irrational number
√81=√9×√9=9=a natural number
√21=not a natural number
√43=not a natural number
√48=4√3=not a natural number
√23=not a natural number
√39=not a natural number
√45=3√5=not a natural number
So, out of following numbers 13 27 81 21 43 48 23 39 45→81 is the only square number.
Let Sam be (S+8) years while his sister is S years.
S(S+8) = 105
S^2+8S-105 = 0
(S+15)(S-7) = 0
Sam’s sister is 7 years and Sam is 15 years old.