I need this answered please

By completing squares, we will see that the center of the given circle is at (-3, -2).

The general circle equation centered on (a, b) of radius R is:

[tex](x - a)^2 + (y - b)^2 = R^2[/tex]

In this case, our equation is:

[tex]x^2 + y^2 + 6x + 4y - 3 = 0[/tex]

First, we need to complete squares, we will have:

[tex]x^2 + 2*3*x + y^2 + 2*2*y - 3 = 0\\\\x^2 + 2*3*x + (9 - 9) + y^2 + 2*2*y + (4 - 4) - 3 = 0\\\\(x^2 + 2*3*x + 9) - 9 + (y^2 + 2*2*y + 4) - 4 - 3 = 0\\\\(x + 3)^2 + (y + 2)^2 = 3 + 9 + 4 = 16[/tex]

Then, by looking at the left side, we can see that the center of the circle is (-3, -2).

If you want to learn more about circles:

https://brainly.com/question/1559324

#SPJ5

Answer:

d

Step-by-step explanation:

got it right on edge

Answer:

B.

Step-by-step explanation:

The range is all real numbers

It will indefinitely go up and indefinitely go down

Answer:

Y is on the top

X is on the bottem

Step-by-step explanation:

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

Answer:

D. 68+(6x+4)=180

x = 18

Step-by-step explanation:

"Supplementary angles" are angles that add up to 180°

So we add the twi angles 68+(6x+4) and that equals to 180°.

68 + 6x + 4 = 180

add 68 and 4

72 + 6x = 180

subtract 72.

6x = 108

divide by 6.

x = 18

Answer:

yor mom

Step-by-step explanation:

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

Find out more on the equation at:

brainly.com/question/2972832

#SPJ5

Answer:

the vertex represents a maximum

Vertex is (4,7)

f(x)=-(x-4)^2+7

Step-by-step explanation:

Given the function [tex]f(x)=-x^2+8x+9[/tex]

Equation is in the form of y=ax^2+bx+c

[tex]a=-1[/tex]

When 'a' is negative, then vertex is maximum

when 'a' is positive, then vertex is minimum

[tex]a=-1[/tex] is negative, so the vertex represents a maximum

[tex]f(x)=-x^2+8x+9[/tex], factor out negative

Take out negative sign in common

The expression for the 12 more than half of the postcard will be written as:- P/2+12=P

The expression is defined as the relationship between the numbers and variables and is arranged in the form of an equation.

here we have the words in the question to convert it into an expression that is 12 more than half of the postcard.

The expression will be written as:-

P/2+12=P

Hence expression for the 12 more than half of the postcard will be written as:- P/2+12=P

To know more about expressions follow

https://brainly.com/question/723406

#SPJ1

Answer: 1

Step-by-step explanation:

Answer:

c obtuse angle

Step-by-step explanation:

Answer: C, Obtuse Angle

Step-by-step explanation: A right angle is an angle with 90 degrees, which this is not.

An acute angle is an angle with LESS than 90 degrees, which is also incorrect.

An obtuse angle is an angle with MORE than 90 degrees, which is correct because the angle is more than 90 degrees.

A straight angle is just a straight line, which this angle is not.

Answer:

(x + 16)° = 141°

Step-by-step explanation:

Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.

Answer:

see explanation

Step-by-step explanation:

an arc of a circle is equal to the central angle subtended by the arc

central angle of arc ED = 50° ( vertically opposite angles )

then

arc ED = 50°

the central angle of arc BC = 180° - 40° - 50° = 180° - 90° = 90°

then

arc BC = 90°

the central angle subtended by arc AE = 180° - 50° = 130°

then arc AE = 130°

arc BED = arc BA + arc AE + arc ED = 50° + 130° + 50° = 230°

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

Answer:

C. 24

Step-by-step explanation:

Answer:

it will be figure 3

Step-by-step explanation:

it is the odd one of them, with inner concave

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: https://brainly.com/question/27710663

---

Topic: Algebra I

The probability that a randomly selected student studies more than 27 hours per week is 0.0014.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.

So, μ = 25

σ  = 2.5 hours.

[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]

= P (z > 1.2)

= 1 -  P (z < 1.2)

= 0.0014

Learn more about standard deviation:

https://brainly.com/question/11448982

#SPJ1

Answer:

A) 99.5%

B) 42.1%

Step-by-step explanation:

A) Since the probability of 3 sixes is 0.5%, the probability of less than 3 sixes (that is, zero, one, or two sixes) is 100% - 0.5%, or 99.5%

B ) Since the probability of no sixes is 57.9%, the probability of at least 1 six is 100% - 57.9%, or 42.1%

Answer: Heyaa!! ~

Your Answer is... 1/m^8 which is the b or the second answer!

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you!

-Matthew ^^

Answer:

t=0.9

Step-by-step explanation:

After I graphed it gave me - y>−4x

- Appreciate if you rate.

Answer:

D

Step-by-step explanation:

substitute x = - 4 into h(x)

h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18

Answer:

Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.

Step-by-step explanation:

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

∴ the function when x = -2 is equal to 0.

---

Learn more about Algebra I: https://brainly.com/question/15995023

---

Topic: Algebra I

Answer:

6 water bottles

Answer:

A) [tex]4\cos^2\theta=3[/tex]

B) [tex]81\tan^2\theta=27[/tex]

Step-by-step explanation:

[tex]\displaystyle 2\sin\theta+1=0;\:90^\circ \leq\theta\leq 270^\circ\\\\2\sin\theta=1\\\\\sin\theta=\frac{1}{2}\\ \\\theta=\frac{5\pi}{6}[/tex]

[tex]\displaystyle 4\cos^2\theta=4\cos^2\biggr(\frac{5\pi}{6}\biggr)=4\biggr(-\frac{\sqrt{3}}{2}\biggr)^2=4\biggr(\frac{3}{4}\biggr)=3[/tex]

[tex]\displaystyle 81\tan^2\theta=81\tan^2\biggr(\frac{5\pi}{6}\biggr)=81\biggr(-\frac{\sqrt{3}}{3}\biggr)^2=81\biggr(\frac{3}{9}\biggr)=81\biggr(\frac{1}{3}\biggr)=\frac{81}{3}=27[/tex]