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devlian [24]
3 years ago
14

Write the equation of the line that passes through the points

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

The equation that passes through (−7,−3)and (−2,−1) is y=2/5x-1/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-1)-(-3)/(-2)-(-7)

m=2/5

y-y=m(x-x¹)

y-(-1)=2/5(x-(-2)

y+1=2/5x+4/5

-1 -1

y=2/5x-1/5

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The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. Find the number.
Monica [59]

Equation to find number: \frac{1}{n} - 3 = \frac{20}{n}

Number's value: n = -\frac{19}{3}



Step-by-step explanation:

Let n be the unknown number.

The reciprocal basically makes the number (n in this case) a fraction. So, that being said, the reciprocal of n would be \frac{1}{n}.

The difference of three and the reciprocal of a number (\frac{1}{n}) would be \frac{1}{n} - 3.

The quotient of 20 and the number (n) would be \frac{20}{n}.

So, with this information we've gathered so far, we can come up with an equation to find what the number equals.

Equation: \frac{1}{n} - 3 = \frac{20}{n}

To find what the number equals we must solve the equation.

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3 years ago
12.5g of a medicine cost 1075 naira. what is the cost of 1g medicine​
sveticcg [70]
86 Naira; divide 1075 by 12.5 (hopefully this is correct!)
8 0
3 years ago
What is a obtuse scalene.
Tomtit [17]

Answer:

In geometry, an obtuse scalene triangle can be defined as a triangle whose one of the angles measures greater than 90 degrees but less than 180 degrees and the other two angles are less than 90 degrees.

5 0
3 years ago
How do you solve this?
puteri [66]

Answer:

Width: 7

Length: 14

Step-by-step explanation:

The area of a rectangle can be found my multiplying the length by the width. We do not know neither the length nor the width. However, we do know that the length is 7 feet longer than the width. Because we do not know the value of either side, let's let x represent the width.

Since the length is 7 feet longer, we can represent the length by x+7.

Now that we have our values for the length and the width we can multiply them together to find our area.

(x)(x+7)=x^{2} +7x

Now we have our equation, so we can address the changes made by the original question. The original question states that when 7 is added to both the length and width the area becomes 3 times larger. To do so simply increase each side by 7 by adding 7 to the original values.

(x+7)(x+14)

And multiply our area by 3.

3(x^{2} +7x)

set these equal to each other to find your new equation.

(x+7)(x+14)=3(x^{2} +7x)

Now you need to solve for x. To do this first muliply (x+7) and (x+14).

(x+7)(x+14)=\\x^{2} +14x+7x+98=\\x^{2} +21x+98

Then multiply 3(x^{2} +7x)

3(x^{2} +7x)=\\3x^{2} +21x

Now you can begin solving for x.

x^{2} +21x+98=3x^{2} +21x

Subtract x^{2} from both sides.

21x+98=2x^{2} +21x

Subtract 21x from both sides.

98=2x^{2}

Divide by 2.

49=x^{2}

And finally take the sqaure root of both sides.

\sqrt{x^{2} }=\sqrt{49}\\x=7

Remember, because we are dealing with length, there cannot be negative. So while normally we would get both +7 <em>and</em> -7, in this case we <em>only </em>get +7.

Now that we have the value of x, we can plug it into our original values.

For width we simply get 7.

For length we get 7+7=14

To check our answer we cna multiply 7 by 14 to get 98. Then we can add 7 to our length and width to get 14 and 21. Multiply these together and we get 294. 294 divided by 3 is 98, proving our answer correct.

7 0
3 years ago
When you multiply a pair of conjugates you get a real number
marusya05 [52]

Answer: The complex conjugate has a very special property. Consider what happens when we multiply a complex number by its complex conjugate. We find that the answer is a purely real number  it has no imaginary part. This always happens when a complex number is multiplied by its conjugate the result is real number.

Real numbers can be positive or negative, and include the number zero. They are called real numbers because they are not imaginary, which is a different system of numbers

Step-by-step explanation: Every complex number has a complex conjugate. The complex conjugate of a + bi is a - bi. For example, the conjugate of 3 + 15i is 3 - 15i, and the conjugate of 5 - 6i is 5 + 6i.

4 0
3 years ago
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