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2 years ago

Give the center and radius of the circle x2+y2=25

Mathematics

1 answer:

Arisa [49]2 years ago

7 0

Answer:

B) (0,0); r=5

Step-by-step explanation:

A circle's standard form is (x-h)^2+(y-k)^2=r^2

The center is (h, k) and the radius is r.

So, here the center would be (0, 0) and the radius would be square root 25, or 5.

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Urgent help please!!!!!!!!!!!!!!!!!!

AysviL [449]

Answer:

B. AAS Congruence Theorem

Step-by-step explanation:

Previous steps showed congruence of a side of the designated triangle, and two angles that do not bracket that side. In short form, you have shown congruence of ...

Angle - Angle - Side

so the AAS congruence theorem applies.

8 0

2 years ago

Find the value of the following expression:

Greeley [361]

Answer:

Step-by-step explanation:

Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰)⁻² ⋅ (5⁻²/2³)⁴ ⋅ 2²⁸

Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

Combine like terms: 2¹² • 5²/2¹²

Cancel out: 5²

Solve: 25

6 0

3 years ago

write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i

inessss [21]

Answer:

$f(x)=3x^3+x^2+3x+1$

Step-by-step explanation:

If a real number $-\frac{1}{3}$ is a zero of polynomial function, then

$x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}$

is the factor of this function.

If a complex number $-i$ is a xero of the polynomial function, then the complex number $i$ is also a zero of this function and

$x-(-i)=x+i\ \text{ and }\ x-i$

are two factors of this function.

So, the function of least degree is

$f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)$

If the polynomial function must be with integer coefficients, then it has a form

$f(x)=3x^3+x^2+3x+1$

4 0

2 years ago

The length of a rectangle is 2 ft longer than its width.

tino4ka555 [31]

Hi! I'm happy to help!

To solve this, we first need to look at the perimeter equation:

P=2L+2W

We don't know our length, so we can represent it with x. Since our width is 2 feet shorter than x, we can represent it with x-2. Now, we plug these values into our equation:

56=2x+(2(x-2))

Let's simplify what the width is by multiplying:

56=2x+2x-4

Now, let's combine our 2xs

56=4x-4

Now, we just need to solve for x in order to find our length and width.

First, we need to isolate x on one side of the equation. We can do this by adding 4 to both sides:

56=4x-4

+4 +4

60=4x

Now, all we have to do is divide both sides by 4 and x will be fully isolated:

60=4x

÷4 ÷4

15=x

Now that we know x, let's plug this into our previous equations:

L=x=15

L=15

W=x-2=15-2=13

W=13

To verify our answers, we can plug this into our perimeter equation:

56=2(15)+2(13)

56=30+36

56=56

After double checking our answers, we know that our length is 15 and our width is 13.

I hope this was helpful, keep learning! :D

5 0

2 years ago

Brainliest for the best answer, for 50 points:

vampirchik [111]

Answer:

a) Children total 37, Teens total 64, Adults total 50, Chocolate total 70, Vanilla total 47, Strawberry total 34

b) 15

c) 15

d) 49/64

7 0

2 years ago