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Triss [41]
2 years ago
13

Find the slope of the line between the points (1, 4) and (-1,6)

Mathematics
1 answer:
Oduvanchick [21]2 years ago
6 0

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 1, 6)

m = \frac{6-4}{-1-1} = \frac{2}{-2} = - 1

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2 years ago
6xy — 4 y +6 - 4 x<br> Factorise this expression
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3 years ago
Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.
AlexFokin [52]
In this case, Php 50,000 money invested for 4 years with 12% rates. If the rate is 12% compounded semi-annually that means it would be 6%/ 6 months. Then the amount of money after 4 years would be:

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4 0
3 years ago
If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu
Anna [14]

Answer:

  • Correct answer is 18.3
  • Dollar replacement 70

Step-by-step explanation:

<u>Correct answer</u>

Given that a, b, c, and d are different numbers (from 1 to 9), we are to find the largest possible value of a.b + c.d.

This problem can be answered by trial and error and with some logic. Clearly, a to d cannot be at the lower end of the values (1 to 5). Since the digits must be different, it can be a combination of digits from 6 to 9.

It is rather tempting to say that the 9.8 + 7.6 would yield the highest possible sum (=17.4) but this is incorrect. Since it is the sum of two numbers with a decimal, we have to maximize on the one-digit first before maximizing the tenths digit. Therefore: the combination of numbers must then be:

9.7 + 8.6 which results to 18.3

9.6 + 8.7 yields 18.3 as well.

<u>Dollar replacement</u>

For the value of the difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

So, $a.b should be the maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

Therefore, $a.b=9*8=72

As mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

Therefore, c.d$ = 1*2 = 2

Hence, the difference = 72-2 = 70

Thus,  the largest possible value of the difference $a.b - c.d$ = 70

4 0
3 years ago
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