A circle is centered at (−4, 9) and has a radius of 11.

What is the equation of the circle?

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

Rational numbers are real numbers of the form n/m, where n, m ∈ [tex]\mathbb{Z}[/tex] and n ≠ 0. Rational numbers are in lowest terms whether they cannot be reduced. A rational number is simplified by applying the following property:

[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]     (1)

Where c is the common multiplier.

Now we proceed to simplify the given rational number, whose common multiplier is 2:

[tex]\frac{14}{16} = \frac{7}{8}[/tex]

By applying algebra properties for simplifying rational numbers, we conclude that the rational number 14/16 is equivalent to the rational number 7/8.

The statement is poorly formatted: Write 14/16 in lowest terms.

To learn more on rational numbers: https://brainly.com/question/17450097

#SPJ1

Answer:

  90°; 55°; 35°; 110°; 70°

Step-by-step explanation:

A rectangle has corner angles that are 90°. When the corner angle is divided into two parts, the total of the parts is 90°.

Each of the triangles is isosceles. The figure is symmetrical about its center.

An exterior angle to a triangle is equal to the sum of the remote interior angles.

__

∠SRT = 90° . . . . a corner angle

∠STR = 55° . . . . symmetrical to the given angle

∠QRS = 180° -55° -90° = 35° . . . . sum of angles in ΔQRS is 180°

∠QPT = 2×55° = 110° . . . . exterior angle to ΔQPS; ∠QSP =∠SQP

∠TPR = 180° -110° = 70° . . . . forms a linear pair with ∠QPT

_____

There are numerous ways to figure any or all of these angles. They come down to the fundamentals: angles in a triangle total 180°; angles that form a line total 180°; corner angles of a rectangle are 90°. Base angles of an isosceles triangle are congruent.

The exterior angle rule derives from the sum of angles in a triangle and on a line both being 180°.

Answer:

Correct answer is B. -3 • 5 = - 15

The difference between the two polynomials is 11x²3y³ - 4xy².

The difference between two polynomials is the result you get by subtracting one from the other.

Thus:

= (4x²2y³ + 2xy² – 2y) – (–7x²y³ + 6xy² – 2y)

= 4x²2y³ + 2xy² – 2y + 7x²y³ - 6xy² + 2y

= 11x²3y³ - 4xy²

Learn more about polynomials on:

brainly.com/question/2833285

#SPJ1

Day 6/11 = $6,920

Day 6/15 = $6,505

Day 6/20 = $6,305

She withdrew $279 to buy clothes

Therefore her final balance= $6,920

Therefore, her balance is

= $6,920 - $415

= $6,505

Therefore her balance is

= $6,505 - $200

= $6,305

Learn more about transaction here:

https://brainly.com/question/1016861

#SPJ1

Answer:

X=1, Y=0

Step-by-step explanation:

Solve for X and Y using a2 +b2 = c2

Answer:

The answer 7|3+6 is irrational because the sum of a rational number and irrational number is an irrational number.

Answer:

[tex]KL=45.6[/tex]

Step-by-step explanation:

Property of a Rectangle: Opposite sides are equal.

This means:

[tex]KL = JM \text{ where JM = 45.6}[/tex]

[tex]KL = 45.6[/tex]

Answer:308

Step-by-step explanation:Multiply 4*7*11

The equation that has exactly one solution will be 2x + 31 = - 2x - 31. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equations are given.

Check whether the equation is linear or not.

1.   2x + 31 = 2x - 31, this is not a linear equation.

2.  2x + 31 = - 2x - 31, this is a linear equation.

Then the solution of the linear equation will be

4x = - 62

 x = - 15.5

3.  2x + 31 = 2x - 31, this is not a linear equation.

4.    2x - 2 = 2x - 31, this is not a linear equation.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ1

Answer:

Dependent Event

Step-by-step explanation:

Dependent Events: Two events are dependent when the outcome of the first event influences the outcome of the second event. The probability of two dependent events is the product of the probability of X and the probability of Y AFTER X occurs.

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

Answer:

1) 1/2or 50%
2) 38/50 or 76%
3) 38/60 or 63%
4) not sure tbh

Step-by-step explanation:

Answer:

Answer In this Picture.

Answer:

Volume of a cone = (1/3) πr³

r = radius = d/2 = 2/2 = 1 ft

Volume = (1/3) * π * 1³

volume = 1.04 cubic ft

Answer: 20 sq ft

Step-by-step explanation: The base is AB = 5 ft because AB = CD. Recall that opposite sides in a parallelogram are congruent and parallel.

area of parallelogram = base * height = 5*4 = 20

note: the base is always perpendicular to the height

Answer:

5 x 5+3/5= 25+3/5=28/5÷8/3

28/5 x8/3= 224/15 =14.93

Addition:

Increased by, greater than, more than, sum

Subtraction:

Decreased by, decrease, less than, difference

Multiplication:

Times, equal groups, __ times as many, product

Division:

Quotient, divided by, goes into, split equally

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{7} }[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=x^2-7[/tex]

We can also write it as:

[tex]y =x^2-7[/tex]

x-intercept is the point where y = 0

Put y = 0 in the above equation

[tex]0=x^2-7\\\\Add \ 7 \ to \ both\ sides\\\\7 = x^2\\\\Take \ sqrt \ on \ both \ sides\\\\\pm \sqrt{7} =x\\\\x = \pm \sqrt{7} \\\\\rule[225]{225}{2}[/tex]

Answer:

d) 190,172,154

Step-by-step explanation:

208-18=190

190-18=172

172-18=154

Answer:

a. Solve the System of Equations. Show your work

Answer/Step-by-step explanation:

Given:

A gas station offers a lucky draw to customers. Each time you spend more than $20 on gas, you can make a draw to win a prize. The probability of winning a prize is 1/12 suppose you buy gas 4 times.

To Find:

what is the probability of you winning a prize each time?

Solve:

Since, it given that you buy gas 4 times. Thus that means:

1/12 × 1/12 × 1/12 × 1/12 or  1/12⁴

Now solving it:

1/12 × 1/12 × 1/12 × 1/12 = 1/20736

Which also means (0.0048%) in decimal form since, 1 divide by 2076 equal to 0.0048%

Kavinsky

Answers:

[tex](f \circ g)(x) = 2x^2-5x\\\\(g \circ f)(x) = 2x^2+7x\\\\[/tex]

The domain is "all real numbers" which you could type in (-infinity, infinity) or [tex](-\infty, \infty)[/tex] when doing interval notation. This applies to both.

=========================================================

Explanation:

See the attached image for the steps of each.

The domain is the set of all real numbers because each result is a polynomial. We don't have to worry about dividing by zero, taking a square root of a negative number etc. There are no restrictions on x. Any real number can replace x to get some real number result for y. This applies to both composite functions.

The number of green watches that were sold is 78

The given parameters are:

The number of watches can be represented as

Gold + Green + Blue + Red = 234

Substitute Blue = Green

Gold + Green + Green + Red = 234

Gold + 2 * Green + Red = 234

Substitute Red = 2 * Gold

Gold + 2 * Green + 2 * Gold = 234

Evaluate the like terms

2 * Green + 3 * Gold = 234

Make Gold the subject in Green = 3* Gold

Gold = Green/3

Substitute Gold = Green/3 in 2 * Green + 3 * Gold = 234

2 * Green + 3 * Green/3 = 234

Evaluate the product

2 * Green + Green = 234

Evaluate the sum

3 * Green = 234

Divide both sides by 3

Green = 78

Hence, The number of green watches that were sold is 78

Read more about equations at:

https://brainly.com/question/2972832

#SPJ4

Answer:

Graph B

Step-by-step explanation:

Point-line graphs are usually used to compare data over a course of time, and bar graphs are more commonly used to compare statistics between different data sets (in this case it is between different countries)

Answer:

2/9

Step-by-step explanation:

i just took a test with this exact question, and the answer was 2/9

youre welcome future learners ;)

Answer:

[tex]x=-72[/tex]

Step-by-step explanation:

[tex]-\frac{x}{8}-11=-2\\ -\frac{x}{8}=9\\ -x=72\\x=-72[/tex]

The graph represents a polynomial graph, and the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

From the graph, we have the following observations:

This means that the graph has a multiplicity of 2 at x = 2 and a multiplicity of 3 at x = -5

So, we have:

f(x) = a(x + 5)³(x - 2)²

The curve is inverted,

This means that a < 0

Assume a = -1.

Then, we have:

f(x) = -(x + 5)³(x - 2)²

Hence, the equation of the polynomial graph is f(x) = -(x + 5)³(x - 2)²

Read more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

The length of the windshield wiper to the nearest inch is 24 inches

The formula for calculating the area of a sector is given as:

A = r²β/2

r is the length of the wiper

β is the subtended angle

Given the following

A = 500.3 square in

β = 98 degrees = 98pi/180 = 49pi/90

Substitute

500.3 =  r²49pi/180
500.3 = 153.86r²/180

153.86r² = 90054
r² = 585.298

r = 24.19

Hence the length of the windshield wiper to the nearest inch is 24 inches

learn more on sector here: https://brainly.com/question/22972014

#SPJ1