The sum of two numbers is -1. If one number is subtracted from the other, their difference is 11. Find the numbers.

Answer:

[tex]x^{2}+y^{2}-8x-4y+11=0[/tex]

Step-by-step explanation:

we have

[tex](x-4)^{2}+(y-2)^{2}=9[/tex]

The general equation of the circle is equal to

[tex]x^{2}+y^{2}+Ax+By+C=0[/tex]

Convert the standard form to a general form

[tex](x-4)^{2}+(y-2)^{2}=9\\ \\(x^{2} -8x+16)+(y^{2}-4y+4)=9\\ \\x^{2}+y^{2}-8x-4y+20-9=0\\ \\x^{2}+y^{2}-8x-4y+11=0[/tex]

Answer:

93.66 but you can’t use only .66 of a container so I would say round up so 94

Step-by-step explanation:

The number of containers that Casey used will be 94 containers.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls.

Then the number of containers that Casey used will be given by the division of the numbers 281 and 3.

⇒ 281 / 3

⇒ (279 + 2) / 3

⇒ 279 / 3 + 2 / 3

⇒ 93 + 2/3

⇒ 93 + 0.667

⇒ 93.667 or 94

The number of containers that Casey used will be 94 containers.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

a cone

Step-by-step explanation:

If the base is circular, then the cone is said to be a "regular" or "circular" cone, much like an ice cream cone.

If the base is elliptical, then it becomes an "elliptical" cone.  

Both shapes can be right (where the perpendicular line dropping from the vertex lands on the exact center of the base) or oblique (when the line dropping from the vertex doesn't land on the center of the base)

Answer:

301.6 ft³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = [tex]\frac{1}{3}[/tex] × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = [tex]\sqrt{64}[/tex] = 8

Hence

V = [tex]\frac{1}{3}[/tex] × π × 6² × 8

   = [tex]\frac{1}{3}[/tex] × 288π = [tex]\frac{288\pi }{3}[/tex] ≈ 301.6

Answer:

338 in

Step-by-step explanation:

Tangents drawn to a circle from a common point outside the circle are equal in length.

The 2 lower tangents are both 98 in

The upper left tangents are 22 and 22 and 27 and 27

The upper right tangents are 22 and 22

Calculate the perimeter from the left side clockwise

perimeter = 98 + 22 + 22 + 27 + 27 + 22 + 22 + 98 = 338 in

Answer:

$4706.81

Step-by-step explanation:

The value each year is multiplied by 100% -12% = 88% = 0.88. After 13 years, the value is 0.88^13 ≈ 0.1897906 times what it was originally: ≈ 4,706.81 dollars.

Answer:

4706.81

Step-by-step explanation:

Answer:

Step-by-step explanation:

The trick here (and it is tricky!) is to find the area of the parallelogram as a whole based on the information you're given, and then use that area to solve for h. If we look at the parallelogram sideways and use 5.5 as the height, the base is 9.9. The area for a parallelogram is A = bh, so A = 9.9(5.5) so

A = 54.45 in squared. Now we will use that area value along with the height of h and the base of 11. Remember, just because we are using different numbers this time, the area of the parallelogram doesn't change. Therefore,

54.45 = 11(h) and

h = 4.95 in.

Answer:

x = 14

Step-by-step explanation:

Chords equidistant from the centre of a circle are equal.

Both chords are 9 units from the centre, thus equidistant and equal, so

x = 7 + 7 = 14

Good luck to Jonathan. I hope he gets his sport set soon.

Answer:

B

Step-by-step explanation:

The president's company makes money from almonds, so he wants people to believe that almonds are good for one's teeth so that they buy more almonds.

Answer:

B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.

Step-by-step explanation:

The report shows that people who eat a handful of almonds each day have 10% fewer cavities.

The most likely reason the president releases such report is - B. The president wants people to believe that almonds are good for one's teeth so that they buy more almonds.

The report is a way to emphasize that consuming almonds will help in reducing cavities. This is a great marketing skill by the President as making people believe the effects of almonds, will help in more sales of almonds.

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign).  That already excludes answers A and C.

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

[tex]a_{2} = 2 * (-3)^{2+1} =  2 * (-3)^{3} = 2 * -27 = -54[/tex]

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

[tex]a_{2} = 2 * (-3)^{2-1} =  2 * (-3)^{1} = 2 * -3 = -6[/tex]

Right!  Let's verify with n=5 to get 162:

[tex]a_{5} = 2 * (-3)^{5-1} =  2 * (-3)^{4} = 2 * 81 = 162[/tex]

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

It’s either skew parallel

Answer:

parallel

Step-by-step explanation:

Two lines perpendicular to the same line must be parallel to each other.

Answer:

bnm,

Step-by-step explanation:

Keep at x on one side so 7x+21x=180+11-23

Move everything that is not the x to the other side

7x+21x=180-23+11

28x=168

x=6

Answer:

c

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Just did it

The answer will be 3.33

Hope this Help:)

Answer:

6.22

Step-by-step explanation:

First find the mean:

μ = (105+104+110+112+114+108+108+109) / 8

μ = 108.75

The standard deviation is then:

σ² = [(105-108.75)²+(104-108.75)²+(110-108.75)²+(112-108.75)²+(114-108.75)²+(108-108.75)²+(108-108.75)²+(109-108.75)²] / 8

σ² = 77.5 / 8

σ = 3.11

Margin of error is ±2σ, so ME = ±6.22.

Answer:

  the selected answer choice is correct

Step-by-step explanation:

If flattened, it would be a rectangle 1 1/2 feet high by (1 1/2 + 2 + 1 1/2) = 5 ft long. The area of that is ...

  (1.5 ft)(5 ft) = 7.5 ft^2

Answer:

y=1/2x-10

Step-by-step explanation:

y-y1=m(x-x1)

y+5=1/2(x-10)

y=1/2x-10

Answer:

No, correct option is (A) 117.5

Step-by-step explanation:

Interquartile range (IQR) measures the skewness using 50% of the data. It is the difference between the third quartile and the first quartile. i.e.

    IQR = Q₃ - Q₁

For finding the Interquartile Range of the data:

100, 120, 130, 188, 196, 220, 265, 300

(100, 120, 130, 188) (196, 220, 265, 300)

     2. Now finding the medians of both halves of the data that will be our First and Third Quartile of data.

So, Q₁ = 125 and   Q₃ = 242.5

Now, using IQR = Q₃ - Q₁

                           = 242.5 - 125  = 117.5

Hence, Correct option is Option (A).

Answer:

[tex]k=110[/tex]

Step-by-step explanation:

Part 15) we know that

[tex]n=klog(A)[/tex]

Solve for k

That means ----> isolate the variable k

[tex]k=n/log(A)[/tex]

we have

[tex]n=440\ wolves[/tex]

[tex]A=10,000\ mi^{2}[/tex]

substitute

[tex]k=440/log(10,000)[/tex]

[tex]k=110[/tex]

Answer:

[tex]27cm^{2}[/tex]

Step-by-step explanation:

You would use the equation, [tex]area = r^{2} sin(\frac{360}{n})/2[/tex]

r= radius, n = number of sides

Answer:

Trapezoid

Step-by-step explanation:

Given quadrilateral has vertices at points A(-2,-1), B(3,13), C(15,5) and D(13,-11).

Find slopes of lines AD and BC:

[tex]\text{Slope}_{AD}=\dfrac{y_D-y_A}{x_D-x_A}=\dfrac{-11-(-1)}{13-(-2)}=\dfrac{-11+1}{13+2}=\dfrac{-10}{15}=-\dfrac{2}{3}\\ \\\text{Slope}_{BC}=\dfrac{y_C-y_B}{x_C-x_B}=\dfrac{5-13}{15-3}=\dfrac{-8}{12}=-\dfrac{2}{3}[/tex]

Since the slopes are the same, lines AD and BC are parallel.

Find slopes of lines ABD and CD:

[tex]\text{Slope}_{AB}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{13-(-1)}{3-(-2)}=\dfrac{14}{5}\\ \\\text{Slope}_{CD}=\dfrac{y_D-y_C}{x_D-x_C}=\dfrac{-11-5}{13-15}=\dfrac{-16}{-2}=8[/tex]

Since the slopes are different, lines AB and CD are not parallel.

This means quadrilateral ABCD is trapezoid (two opposite sides - parallel and two another opposite sides - not parallel)

Answer:

[tex]\frac{\sqrt{11} }{6}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²x + cos²x = 1, then

cosx = [tex]\sqrt{1-sin^2x}[/tex]

cosΘ = [tex]\sqrt{1-(5/6)^2}[/tex]

         = [tex]\sqrt{1-\frac{25}{36} }[/tex] = [tex]\sqrt{\frac{11}{36} }[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

Answer:

1. 6w+6=48

2. n = 9

3. 2x+2 = 5.64

4. 2x-3 = 7.80

5. 2x+6 = 30

6. 3x+3 = 153

7. 2x - 6 = 14

8. 3x + 6 = 54

9. 1424 = 356*t

Step-by-step explanation:

1.

Let the width be w, then twice the width is 2w. But our length is 3 more than twice the width, implying that our length will be 2w+3.

The perimeter of a rectangle is given by the formula;

p = 2(length + width)

2(2w+3+w) = 48

6w+6=48 is our required equation.

2.

Fifteen more than four times a number is 6 more than five times the number. Use "n" for the number.

We first evaluate, Fifteen more than four times a number;

since our number is n, the above statement can be written mathematically as,

4n + 15

The next step we evaluate; five times the number,

5n

In the final step we compare these two expression and solve for n;

we have been told that; Fifteen more than four times a number is 6 more than five times the number. This implies;

4n + 15 - 5n = 6

-n = -9

n = 9

3.

Let the amount paid by Martha be x. Therefore, the amount paid by Sally would be x+2 since she paid 2 more than Martha. The total amount paid by both is;

x+x+2 = 2x+2

The required equation is thus;

2x+2 = 5.64

4.

We let the amount spent by Tim be x. This would mean that Bob spent x-3 since we are told that Bob paid $3 less than Tim. Therefore, the total amount spent by Bob and Tim in terms of x is;

x+x-3 = 2x-3

Therefore, the required equation would be;

2x-3 = 7.80

5.

We let the number of men be x, then the number of women would be x+6 since we are told that there were six more women on the committee than men. The total number of people on the committee in terms of x is thus;

x+x+6 = 2x+6

Therefore, our required equation would be;

2x+6 = 30

6.

Three consecutive integers have the sum of 153.

We let the three consecutive integers be;

x, x+1, and x+2

The difference between consecutive integers is usually 1.

The sum of the above integers in terms of x would be;

x+x+1+x+2 = 3x+3

Therefore, our required equation would be;

3x+3 = 153

7. Five times the first of three consecutive even integers is fourteen more than three times the second.  

We let the first even integer be x. The second even integer would be x+2 while the third one would be x+4. The difference between two consecutive even integers is always 2. Now Five times the first of three consecutive even integers would be;

5*x = 5x

On the other hand, three times the second even integer would be;

3*(x+2) = 3x + 6

Now, we are told that 5x exceeds 3x + 6 by 14. Therefore, we can write;

5x - (3x +6) = 14

2x - 6 = 14

Which is the required equation

8. The sum of three consecutive even integers is fifty-four.

We let the first even integer be x. The second even integer would be x+2 while the third one would be x+4. The difference between two consecutive even integers is always 2. The sum of the three consecutive even integers in terms of x would be;

x+x+2+x+4 = 3x+6

The required equation would thus be;

3x + 6 = 54

9. An airplane flies at a rate of 356 km/h. The plane travels a total distance of 1424 km. (Use Distance = Rate * Time for your equation.)

The distance traveled by the plane is given as 1424 while its      rate or speed is 356. We let t denote the time it took the plane to travel the given distance at the given rate. Using the equation Distance = Rate * Time, we can write the following equation in t;

1424 = 356*t

Which is our required equation.

Answer:

1. 6w+6=48

2. n = 9

3. 2x+2 = 5.64

4. 2x-3 = 7.80

5. 2x+6 = 30

6. 3x+3 = 153

7. 2x - 6 = 14

8. 3x + 6 = 54

9. 1424 = 356*t

Step-by-step explanation:

Answer:

11 cm

Step-by-step explanation:

The rectangle width is 15 mm, which is the same as 1.5 cm.

The formula for P is P = 2W + 2L.  

Here, with W = 1.5 cm and L = 4 cm, P = 2(1.5 cm) + 2(4 cm) = 11 cm

Answer:

11

Step-by-step explanation:

15 millimeters is 1.5 cm

1.5 + 1.5 + 4 + 4 = 11 cm

Answer:

  -2x^7 + ...

Step-by-step explanation:

When the end behaviors are different, the function is one of odd degree. When the slope is downward to the right, the leading coefficient (the coefficient of the highest-degree term) is negative.

The one function shown with an odd degree and a negative leading coefficient is the one that starts ...

  -2x^7 + ...

Answer:

It changes negative numbers to positive.

Step-by-step explanation:

Absolute value is the measure of a numbers distance from 0. You can't have negative distance, so absolute value of negative numbers is positive and absolute value of positive numbers is always positive. The absolute values of 5 and -5 are both 5 because they are both 5 units away from 0 on a number line, just in opposite directions.

Final answer:

The absolute value of a number measures its distance from zero, ignoring direction. For vectors, it describes the magnitude without considering direction, remaining positive even when multiplied by a negative scalar. The concept is vital in many areas of math and science, such as physics in calculating displacement and in sound when determining beat frequency.

Explanation:

The absolute value of a number or an expression essentially measures its distance from zero on a number line, without considering direction. For vectors, the concept is similar; the magnitude of the vector becomes the absolute value of cA, which indicates its size irrespective of its direction. If the scalar c is positive, the vector maintains its direction. In contrast, if c is negative, the direction is reversed. However, the magnitude, given by the absolute value, remains positive.

For instance, in physics, the concept of absolute value is important when dealing with displacements since displacement is a vector. If the total displacement is a negative value, like -2 m, its magnitude is the absolute value, which is 2 m; thereby indicating that the actual 'size' or length of displacement is 2 m. Likewise, in the context of statistics, the absolute value of a z-score (deviation from the mean) indicates how far a score is from the mean, regardless of whether it's above or below it.

In the field of sound, the concept of absolute value becomes important when calculating beat frequencies, because frequencies cannot be negative. Hence, the beat frequency is the absolute value of the difference between two frequencies, ensuring that the result is always a positive number, indicative of a real-world, physical attribute.

Answer:

b. $286,525

Step-by-step explanation:

Mr. and Mrs. Donahue want to buy a home valued at $365,000.

They have 21.5% of this amount saved for a down payment, means they have saved [tex]0.215\times365000=78475[/tex] dollars

So, their home loan will be of [tex]365000-78475=286525[/tex] dollars

Therefore, the answer is $286,525.

Answer:

b.

$286,525

Step-by-step explanation:

Got all correct on edge 2020

Answer:

  {-13, 2, 17}

Step-by-step explanation:

Put the given values where x is, and do the arithmetic.

  f({-3, 0, 3}) = -5{-3, 0, 3} +2 = {15, 0, -15} +2 = {17, 2, -13}

Rearranging these range values to numerical order, they are ...

  {-13, 2, 17}

_____

Your graphing calculator or spreadsheet can apply a formula to a list of numbers.