All categories

3 years ago

Write an equation of the circle given its center and radius

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

7 0

${(x + 4)}^{2} + {(y + 3)}^{2} = 64$

You might be interested in

ANSWER THIS MATH QUESTION

shusha [124]

Answer:

<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>

Step-by-step explanation:

Using the formula of derivative, it can be easily shown that, $\frac{d f(x)}{dx} = 2$ where $f(x) = x^{2}$ .

Here we need to show that as per the instructions in the given table.

Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) = $(1 + 0.01)^{2} - 1^{2} = 0.0201$ .

In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.

Hence, dividing Δy by Δx, we get, $\frac{0.0201}{0.01} = 2.01$ .

Let's examine this taking a smaller value.

If we take Δx = 0.001, then Δy = $1.001^{2} - 1^{2} = 0.002001$ .

Thus, $\frac{0.002001}{0.001} = 2.001$ .

The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.

5 0

3 years ago

What is the prime factorization if 6400 using exponents

katovenus [111]

So prime factorization is as it seems, finding the prime factors for a number. With this number, break it down as such:

$\underbrace{6400}_{\underbrace{64}_{\underbrace{8}_{\underbrace{4}_{\boxed{2*2}} \boxed{2}}*\underbrace{8}_{\underbrace{4}_{\boxed{2*2}}\boxed{2}}}*\underbrace{100}_{\underbrace{10}_{\boxed{5*2}}*\underbrace{10}_{\boxed{5*2}}}}$

<u>Looking at our factors, the prime factorization of 6400 is $2^8*5^2$ </u>

5 0

4 years ago

A 37 foot board must be cut into two parts. The longer part is one foot larger than the twice the shorter part. How long is each

Rus_ich [418]

Answer:

12 ft and 25 ft

Step-by-step explanation:

a part is x ft and the other is (2x+1) ft

so 37= x + 2x+1

37= 3x+1

-1 -1

36= 3x

:3 :3

x= 36:3

I= x= 12 ft

II= 2x+1=2*12+1=25 ft

3 0

3 years ago

Simplify the expression to a polynomial in standard form. (X+1)(3x^2+9x+2)

OLEGan [10]

Answer:

3x^3 + 12x^2 +11x +2

Step-by-step explanation:

this is also a cube root expanded If that helps

4 0

2 years ago

Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)

In-s [12.5K]

Answer:

The sequence diverges.

Step-by-step explanation:

A sequence $a_{n}$ converges when $\lim_{n \rightarrow \infty} a_{n}$ is a real number.

In this question, the sequence given is:

$a_{n} = 4n\cos{(7n\pi)}$

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as: $a_{n} = 4n$ . So

$\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} 4n = \infty$

Since the limit is not a real number, the sequence diverges.

5 0

3 years ago