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sdas [7]
3 years ago
6

1) prove that the circumcenter of an equilateral triangle is the same as its centroid i) calculate the length of the side of an

equilateral triangle with vertices on a circle of diameter 1cm ii) calculate the perimeter of such a triangle please, guys, help with this please with an easy answer thanking you in advance

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer:

The complete explanation and solution is attached below:

Explanation:

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n
Andrew [12]
Part 1
We are given x^2-21x=-4x. This can be rewritten as x^2-18x=0.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
     x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}
     x=\frac{18\pm 18}{2}

The values of x are
     x_1=\frac{18-18}{2}=0
     x_2=\frac{18+18}{2}=18

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function. 

Part 3.
The first equation is y=x^2+2.
The second equation is y=3x+20.

We have 
     x^2+2=3x+20
     x^2-3x-18=0
Factoring, we have 
     \left(x-6\right)\left(x+3\right)=0
Equating both factors to zero.
     x_1-6=0\rightarrow x_1=6
     x_2+3=0\rightarrow x_2=-3

When the value of x is 6, the value of y is 
     y=3\left(6\right)+20=38

When the value of x is -3, the value of y is 
     y=3\left(-3\right)+20=11

Therefore, the solutions are (6,38) or (-3,11)
7 0
3 years ago
The equation 2.2x − 4.4 = 1.8x can be transformed to form which of the following expressions?
Anna35 [415]
The answer to this mathematical question would be "0.4x = 4.4". I simply subtracted 1.8x to both sides of the equation (following the subtraction property of equations) and then added 4.4 to both sides of the equation (following the addition property of equations). Thus, we arrive to the answer, 0.4x = 4.4.
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3 years ago
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-2(4x-1)=5+7
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x=-5/4
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3 years ago
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Which rate has the same unit rate as 126 miles in 9 hours.
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Answer: THE ANSWER IS C

Step-by-step explanation:

5 0
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The answer is m=  -13
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