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Len [333]
3 years ago
14

(x-13.4)^2+(y+2.6)^2=100

Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:radius =10 units

Step-by-step explanation:

Given

Equation of circle is given by

(x-13.4)^2+(y+2.6)^2=100\quad \ldots(i)

Now general equation of circle with center (h,k) with radius r is given by

(x-h)^2+(y-k)^2=r^2\quad \ldots(ii)

Comparing (i)  and  (ii)  we get

h=13.4

k=-2.6

r=10

Thus center is (13.4,-2.6)

and radius r =10\ units

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The lock on a safe requires a three-digit code to open it. The three digits must each be a number from 0-9 (10 possible numbers)
vovangra [49]
The correct answer is Choice B: 720.

To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.

For the first one, there are 10 options, then 9 options and finally 8 options.

10 x 9 x 8 = 720
7 0
3 years ago
Convert the angle - 3 radians to degrees, rounding to the nearest 10th
dlinn [17]

Answer:

171.9 degrees.

Step-by-step explanation:

The factor is 180/π.

So 3 radians = (3*180)/π

= 171.9 degrees.

3 0
3 years ago
Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
nikitadnepr [17]

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Step-by-step explanation:

The parallel lines have:

  • Same slopes
  • Different y-intercepts

The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept

∵ The equation of the given line is y = 5x + 4

∴ m = 5 and b = 4

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = 5

- Substitute the value of the slope in the form of the equation

∴ y = 5x + b

- To find b substitute x and y in the equation by the coordinates

   of any point on the line

∵ The parallel line passes through point (-1 , 2)

∴ x = -1 and y = 2

∵ 2 = 5(-1) + b

∴ 2 = -5 + b

- Add 5 to both sides

∴ 7 = b

- Substitute the value of b in the equation

∴ y = 5x + 7

The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7

Learn more:

You can learn more about the equations of the parallel lines in brainly.com/question/9527422

#LearnwithBrainly

5 0
3 years ago
1: Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not hav
OLga [1]

Answer:

(1) y=C, C\neq0

(2) x=C

(1) y=0

Step-by-step explanation:

For the linear equation, the power on the solitary variable must be 1.

When the graph of a function crosses/ touches the x-axis than the equation has solution/solutions otherwise it does not has a solution.

When it touches/cresses the x-axis for infinite times then it will have an infinite number of solutions.

(1) The linear equation y-C=0, where y is a variable and C is a non-zero constant,  C \neq 0, has the graph parallel to the x-axis. It has no solution as the graph will never cross/touch the x-axis.

Algebraically, in linear equation y-C=0, is independent of x, so there is no value of x for the solution to be exist.

(2) The linear equation x-C=0, where x is a variable and C is a constant, has one solution.

The solution for the equation is

x-C=0

\Rightarrow x=C, where C\neq0.

(3) The linear equation y=0, where y is a variable, has the graph coinciding with the x-axis. So, it has infinitely many solutions.

Algebraically, in linear equation y=0, is independent of x, so for all value of x, the given equation is zero. Hence, there are infinitely many solutions.

3 0
3 years ago
The diameter of a circle is 6 inches. What is the circle's circumference?​
katrin2010 [14]

Answer:

brainiest? 37.68

Step-by-step explanation:

6 x 2 = 12

12 x 3.14 = 37.68

4 0
3 years ago
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