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rodikova [14]
3 years ago
7

How would I solve

t}{10}" align="absmiddle" class="latex-formula">=\frac{1}{2}
Mathematics
1 answer:
kaheart [24]3 years ago
3 0

Answer:

t =  \frac{5}{3}  =  1 \frac{2}{3}

Step-by-step explanation:

\frac{3t}{10}  =  \frac{1}{2}  \\  \frac{1 \times 3t}{10}  = 1 \\ 2 \times 3t = 1 \times 10 \\ 6t = 1 \times 10 \\ 6t = 10 \\ t = 10 \div 6 =  \frac{10}{6}

\boxed{Answer:{\boxed{\green{t =  \frac{5}{3}  =  1 \frac{2}{3}}}}}

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Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

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i.e. -2k = -3

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Hence, the ratio in which P divides the line is 3 : 2.

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i.e. m = \frac{27-2}{3+2}

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