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krok68 [10]
3 years ago
6

Find the HCF of 168 and 196.

Mathematics
2 answers:
julia-pushkina [17]3 years ago
5 0

Answer:

28

Step-by-step explanation:

168 = 2³ × 3 × 7

196 = 2² × 7²

HCF(168 ; 196) = 2² × 7 = 4 × 7 = 28

yan [13]3 years ago
3 0

Answer:

The HCF of 168 & 196 is 28

Step-by-step explanation:

The factors of 168 are: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The factors of 196 are: 1, 2, 4, 7, 14, 28, 49, 98, 196

The highest factor that both 168 and 196 share is 28

Hope this helps :D

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Help me please!!!!!!
lara [203]

Answer:

a. b=2

b. b = 2a

c. a = \frac{1}{2}b\\

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Step-by-step explanation:

Gradient is just another similar term for slope l, m, and it can be calculated by m = \frac{y_2 -y_1}{x_2 -x_1}\\ where x_n and 1y_n is the xy-coordinates of point n

We let (0,0) be point 1 and (a,b) be point 2, we can then write the equation:

m = \frac{b -0}{a -0}\\ m = \frac{b}{a}.

It also says that the points are with a gradient of 2 so m = 2. We can then write the equation:

2 = \frac{b}{a}\\

Finding bIf a = 1:

2 = \frac{b}{a} \\ 2 = \frac{b}{1} \\ 2 = b \\ b = 2

Writing an expression for b in terms of a.

2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{b}{a} \times a = 2 \times a \\ b = 2a

Writing an expression for a in terms of b

2 = \frac{b}{a} \\ \frac{b}{a} = 2 \\ \frac{a}{b} = \frac{1}{2} \\ \frac{a}{b} \times b = \frac{1}{2} \times b \\ a = \frac{1}{2}b

Finding b if a = 5

2 = \frac{b}{a} \\ 2 = \frac{b}{5} \\ \frac{b}{5} = 2 \\ \frac{b}{5} \times 5 = 2 \times 5 \\ b = 10

4 0
3 years ago
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