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Reika [66]
4 years ago
10

Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 − 10 y = 14 into center-radius form of a circle.

Mathematics
1 answer:
jonny [76]4 years ago
7 0

Answer:

The answer to your question is      (x + 7)² + (y - 5)² = 88

Step-by-step explanation:

Equation

                     x²  +  14x  +  y²  - 10y   =  14

Complete perfect trinomial squares

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²

Simplify

                     x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25

                     x² + 14x + (7)² + y² - 10y + (5)² = 88

Factor

                     (x + 7)² + (y - 5)² = 88   This is the equation in the form

                     center-radius

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Find the distance between points O and V.-2 and 1/2
inn [45]

This problem is about the distance between points, in this case, we have to unidimensional coordinates, that is, point O is at -2, and Point V is at 1/2.

It's important to know that the proper way to find the distance here is by subtraction, we need to subtract the final points and the initial point. In math, such subtraction is called "differential" or "variation", just a fancy name.

\Delta=\frac{1}{2}-(-2)=\frac{1}{2}+2=0.5+2=2.5

<h2>Therefore, the distance from O to B is 2.5 units.</h2>
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Answer:210

Step-by-step explanation:

4 0
3 years ago
Help please, im unsure ​
Helen [10]

Answer:

The value of AM = 43

Step-by-step explanation:

As point M is the midpoint of AB, so

  • AB = AM + BM
  • AM = BM

Given

AB = 8x - 50

AM = 2x + 9

so substituting AB = 8x - 50 and AM = 2x + 9 in the equation AB = AM + BM

AB = AM + BM

8x - 50 = 2x + 9 + BM

8x - 2x - 50 - 9 = BM

6x - 50 = BM

Thus,

BM = 6x - 59

As

AM = BM

so substituting AM = 2x + 9 and BM = 6x - 59 in the equation AM = BM

2x + 9 = 6x - 59

switch sides

6x - 59 = 2x + 9

subtract 2x from both sides

6x - 2x - 59 = 2x + 9 - 2x

4x - 59 = 9

add 59 to both sides

4x - 59 + 59 = 9 + 59

4x = 68

divide both sides by 4

4x/4 = 68/4

x = 17

Thus, the value of x = 17

Therefore, the value of AM will be:

AM = 2x + 9 = 2(17) + 9 = 34 + 9 = 43

Hence, the value of AM = 43

<u>Verification:</u>

AM = BM

2x + 9 = 6x - 59

2(17) + 9 = 6(17) - 59

34 + 9 = 102 - 59

43 = 43

and

AB = 8x - 50 = 8(17) - 50 = 86

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3 years ago
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Ilia_Sergeevich [38]

Answer:

√17

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.

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