The answer would be [3 -12 15 -21 ]
"Porportional Relationships" means that the rate in which it increases is the same.
For example: 1, 3, 5, 7, 9 is a porportional relationship, because it increases each time by (+2).
Now, look at the first one.
From y to x, y being 2, x being 10, you divided 5 from x to get 2. Next, you divided 6 from 30 to get 5. Because the number dividing is different, it is not proportional
NOT PROPORTIONAL
Look at the second one.
From y to x, y being 12, x being 10, you divided 1.2
Now, look at the next one. 30/25 = 1.2
Finally, the last one. 48/40 = 1.2
Because all of them are 1.2, the answer is proportional
PROPORTIONAL
~
Sol. (1) Prime factors of 26 = 2 x 13
Prime factors of 91 = 7 x 13
Hence, HCF = Common factors between 26 and 91 =13 and LCM=13x2x7=182
Now product of numbers 26 and 91
= 26 x 91 = 2366 and Product of HCF and LCM = 13 x 182 = 2366
So, it verify that product of two numbers = Product of HCF and LCM.
(2) Prime factors of 510 = 2 x 3 x 5 x 17
Prime factors of 92 = 2 x 2 x 23
Hence,HCF=2 and LCM=2×2×3 × 5×17×23 =23460
Now product of Numbers 510 and 92 = 46920 and product of HCF and LCM = 2 x 23460= 46920
Hence, verified that product of two numbers 18 equal to product of their HCF and LCM.
(3) Prime factors of336 = 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 54 = 2 x 3 x 3 x 3
Hence, HCF (Product of common factors of 336 and 54)
=2 x 3=6
And LCM (Product of all common factors with remaining factors)
=(2 x 3)x 2 x 2 x 2 x 3 x 3 x 7=3024
Now, product of numbers 336 and 54 = 336 x 54 = 18144
and product of HCF and LCM = 6 x 3024 = 18144
Hence, product of two numbers: Product of HCF and LCM.
Answer:
Given circumference (C) = 45.53
Radius =
C =
2π
7.246324558974
Diameter =
C =
π
14.492649117948
Area =
C2 =
4π
164.96257858504
used a calculator. hope this helps.
Answer:
YES
Step-by-step explanation:
the x-values and y-values are consistent
