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vazorg [7]
3 years ago
10

What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250? A) 9 units B) 12 units C) 15 units D) 18 units

Mathematics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

D

Step-by-step explanation:

To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.

Complete the square by dividing each term -14x and 10y in two. Then square each.

-14/2 = -7 and -7² = 49

10/2 = 5 and 5² = 25

The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.

We simplify the equation into (x-7)² + (y + 5)² = 324.

324 is the value of radius squared. Take the square root to find the radius.

√324 = 18

The radius is 18 units.

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Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5),
slamgirl [31]

A statement correctly compares functions f and g is that: C. they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function.

Function g is represented by the following table and a line representing these data is plotted in the graph that is shown in the image attached below.

x          -1   0   1    2   3   4

g(x)     24  6   0  -2  

Based on the line, we can logically deduce the following points:

  • y-intercept approaches -2.43 to 24.86.
  • x-intercept approaches negative infinity (-∞) to infinity (∞).

This ultimately implies that, a statement correctly compares functions f and g is that both functions have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.

Read more on function here: brainly.com/question/9315909

#SPJ1

6 0
1 year ago
Wats da distance between 13 and -5
levacccp [35]
You would add them together if it’s on a number line bc u have to go 5 to get to 0 then another 13 so 13+5=18
6 0
2 years ago
Read 2 more answers
Plzzzzz help
ololo11 [35]

Answer:

D. 0.343

Step-by-step explanation:

You can see the first three options as 0.340 so if you substract this number with 0.343 the remainder is positive 3.

This strategy also can be applied to the number 0.3409 but in this occasion the result is different:

0.343 - 0.3409 = 2.1\times 10^{-3}

That is small number but still is positive that's meaning that between 0.343 and 0.3409 the greatest value is 0.343 .

6 0
2 years ago
50 points
Leya [2.2K]

Answer:

\frac{2}{4} inch

Step-by-step explanation:

Step 1

List the length of the wingspan of the five butterflies

\frac{1}{4}, \frac{1}{4}, 1, \frac{2}{4}, \frac{3}{4}

Step 2:

The two butterflies with the shortest wingspan has a wing length of \frac{1}{4} inches each.

Step 3:

Total length of the wingspan of the two butterflies with the shortest wingspan

= =\frac{1}{4} +\frac{1}{4} \\&#10;       = \frac{2}{4}

Final answer:

= \frac{2}{4} inch

5 0
2 years ago
What is the side length of the square if A=81 m squared
Nesterboy [21]

Answer:

The side length is 9m

Step-by-step explanation:

A = 81 m^2

Since the figure is a square, we know the area of a square is A = s^2 where s is the side length

81 m^2 = s^2

Take the square root of each side

sqrt(81 m^2 ) = sqrt( s^2)

9 m = s

The side length is 9m

8 0
3 years ago
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