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Alenkinab [10]
2 years ago
9

Help me it is due in 30min

Mathematics
1 answer:
Komok [63]2 years ago
5 0
The final answer is 148/28 or as a decimal 7.047619 repeating
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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
PSYCHO15rus [73]

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

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

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

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

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

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

4 0
3 years ago
Read 2 more answers
Ten times the sum of half a number and 5 is 25.
Nezavi [6.7K]

Answer: in algebraic expiration its 10 (1/2 + 5) = 25

Step-by-step explanation:

6 0
2 years ago
Helppppppppppppppppppppppp
8_murik_8 [283]

$138.00

Step-by-step explanation:

Steven earns in 4 hours -$23.00

he earns in 6 hours-$34.50

there fore in 10 hours -23.00+34.50=$57.50

in 20 hours -57.50+57.50=$115

and in 4 hours-$23.00+115.00=138.00$

then he earn $138.00 one day

8 0
2 years ago
6.5yd and 11yd<br> please find the area
Afina-wow [57]
Multiply length times width to find the area. 6.5x11= 71.5
3 0
3 years ago
According to the graph, how far did the object move between the second and third seconds?
Setler79 [48]

Answer:

Your answer would be B

Step-by-step explanation:

This is because in between the 2nd and 3rd seconds, there is a 2 unit space so that is how far the object moved in between these seconds,

Hope this helps you out!! Have a good day:))

7 0
3 years ago
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