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Nikitich [7]
3 years ago
13

Four subtracted from the reciprocal of a number

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
7 0
See the picture for the answer :)

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Determine the equation of the circle graphed below. <br><br> ( please help me )
shepuryov [24]

Answer:

(x - 3)² + (y + 5)² = 10

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (3, - 5 ) , then

(x - 3)² + (y - (- 5) )² = r² , that is

(x - 3)² + (y + 5)² = r²

r is the distance from the centre to a point on the line

Calculate r using the distance formula

r = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (3, - 5) and (x₂, y₂ ) = (6, - 4)

r = \sqrt{(6-3)^2+(-4+5)^2}

  = \sqrt{3^2+1^2}

  = \sqrt{9+1}

   = \sqrt{10} ⇒ r² = (\sqrt{10} )² = 10

(x - 3)² + (y + 5)² = 10 ← equation of circle

6 0
3 years ago
Write the function in vertex form <br> y=-x^2-2x+7
Akimi4 [234]
I hope this helps you

4 0
3 years ago
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Nitella [24]

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

7 0
3 years ago
If we multiply a positive number and a negative number, is the result positive or negative?
Paha777 [63]

Answer:

always negative

Step-by-step explanation:

That is, if you exclude 0. If you count zero as a positive number, that will be the exception to the rule. Luckily, zero is usually considered neither negative or positive.

4 0
3 years ago
Read 2 more answers
A container holds 84 cups of water. How much is this in gallons
kap26 [50]
5.25 gallons is your answer
8 0
3 years ago
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