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harkovskaia [24]
3 years ago
9

A circle has the equation (x-2)^2+y^2=5. Whay are the coordinates of the circles center?

Mathematics
2 answers:
erica [24]3 years ago
8 0

Answer:

(2,0)

Step-by-step explanation:

Following the circle formula: (x-h)^2 + (y-k)=r^2, we can deduce the values of Point(h,k).

The point is (2,0).

zloy xaker [14]3 years ago
4 0
(x-h)^2 + (y-k)^2 = r^2

(x-2)^2 + (y-0)^2 = (rt(5))^2

-h = -2
h = 2

k=0

Center(2, 0)
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln(x), [1, 5]
matrenka [14]

Answer:

Yes, the function satisfies the hypothesis of the Mean Value Theorem on the interval [1,5]

Step-by-step explanation:

We are given that a function

f(x)=ln(x)

Interval [1,5]

The given function is defined on this interval.

Hypothesis of Mean Value Theorem:

(1) Function is continuous on interval [a,b]

(2)Function is defined on interval (a,b)

From the graph we can see that

The function is continuous on [1,5] and differentiable at(1,5).

Hence, the function satisfies the hypothesis of the Mean Value Theorem.

5 0
3 years ago
Factor the expression completely 8x^2-18 Please help
nirvana33 [79]

Answer:

2 (2x - 3) x (2x + 3)

4 0
3 years ago
The coefficient of 8 • 2N is _____.
lesantik [10]

Answer:

16 is the coefficient of N.

Step-by-step explanation:

Coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression. In the latter case, the variables appearing in the coefficients are often called parameters, and must be clearly distinguished from the other variables. The coefficients of an algebraic term can be positive or negative, and this multiplies the unknown term.

For example:

In 2a, 2 is the coefficient of a;

In x, 1 is the coefficient of x but it is not visible;

In 2/3p, 2/3 is the coefficient of p;

In -3f, -3 is the coefficient of f;

In 3 × 6t, 18 is the coefficient of t.

Variable is a symbol, commonly a single letter, that represents a number, called the value of the variable, which is either arbitrary, not fully specified, or unknown. Making algebraic computations with variables as if they were explicit numbers allows one to solve a range of problems in a single computation. A typical example is the quadratic formula, which allows one to solve every quadratic equation by simply substituting the numeric values of the coefficients of the given equation for the variables that represent them.

So,

In 8 × 2N, 16 is the coefficient of N ( 8 × 2 = 16)

N is the variable.

7 0
3 years ago
The difference of the squares of two positive consecutive even integers is 84. Find the integers.
ziro4ka [17]

Answer:

The two integers are 20 and 22.

Step-by-step explanation:

Let x be the first integer.

(x+2)^{2}-x^{2} = 84\\x^{2} +4x+4-x^{2} = 84\\4x = 80\\x = 20

3 0
3 years ago
1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16
kogti [31]

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our <em>h</em> and our <em>k</em> are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

3 0
3 years ago
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