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nikdorinn [45]
3 years ago
14

Write the equation of the line that passes through the point (5, 6) and a slope of -2

Mathematics
1 answer:
mina [271]3 years ago
3 0

Answer:

y = -2x + 16

Step-by-step explanation:

So first you plug in the values you know into the slop int. form, equation, in which it is y = mx +b. When you plug in the slope value then you will get the equation of y = -2x +b, in which then you have to solve for the b value.

In order to solve for the b value, you then plug in the x and y values of the coordinate that is given so what you would do is this:  6 = -2(5) +b

                                                                                               6 = -10 +b

                                                                                                16 = b

So then you find out b is 16 in which you just plug back into the equation. So finally you write the equation, y = -2x+16.

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1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
LekaFEV [45]

Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P(1+\frac{r}{n})^{nr}, where

  • A is the new amount
  • P is the initial amount
  • r is the interest rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000(1+\frac{0.1}{1})^{1(3)}

∴ A = 25000(1.1)^{3}

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

6 0
3 years ago
How many solutions does the equation have?
son4ous [18]
The equation would have infinite solutions.
First, distribute on both sides, and you get 12x - 6 = 12x - 6.
There are two ways to do this from here. first is: you add six to both sides and they'll cancel out, and you'll have 12x = 12x. Then you divide by 12 on both sides and get x = x.  When the two sides equal the same thing, there are infinite solutions.
Or, we can do the easy way. As you can see, 12x-6 = 12x-6. Both the sides are clearly the same, so we actually don't need to do the rest.
ANSWER: infinite solutions
Hope this helped!!(:
3 0
3 years ago
Grade Eight Math studying for exams please help. I have been trying to solve this for hours and am not able to. I only use one v
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5 0
3 years ago
7/10 7/8 7/12 7/9 smallest to greatest
mamaluj [8]

Answer:

7/12  7/10  7/9  7/8

Step-by-step explanation

The bigger the denominator is, the smaller the number is

8 0
3 years ago
What is the relation between the variables in the equation y/x^2=10
Lady_Fox [76]

Answer: OPTION C.

Step-by-step explanation:

Direct variation, by definition, has the form shown below:

y=kx

Where k is the constant of proportionality.

Then  if you solve fo y from the given equation, you obtain the following form:

y=10x^{2}

Therefore y varies directly with x².

7 0
4 years ago
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