Line k contains the points (-9,4) and (9,-8) in the xy-coordinate plane. What are the two other points that lie on line k?

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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The length of the base of a barn to satisfy the given relation or hypotenuse  and perpendicular of the given triangle is 9.32 feet.

What about hypotenuse?

The hypotenuse is the longest side of a right-angled triangle, which is the side opposite the right angle. It is also the side that connects the two other sides, known as the adjacent and opposite sides, to form the right angle. The hypotenuse is always opposite the largest angle in a right triangle, which is the right angle, and is also the side with the greatest length. The length of the hypotenuse can be calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Define perpendicular concept:

In a triangle, two lines or line segments are said to be perpendicular if they intersect at a right angle (90 degrees). In other words, if one side of a triangle is perpendicular to another side, it means that they meet at a 90-degree angle. This is only possible in a right-angled triangle, where one of the angles is a right angle. The side opposite the right angle, which is the longest side and the hypotenuse, is always perpendicular to both the adjacent and opposite sides. Perpendicular lines are important in geometry and trigonometry, as they help in solving problems related to angles, distances, and areas of different shapes.

According to the given information:

As, we know about Pythagorean theorem in which,

\(hypotenuse^{2} = base^{2} + perpendicular^{2}\)

⇒ \(16^{2} = base^{2} + 13^{2} \\\\256 = base^{2} + 169\\\\base^{2} = 87\\\\base = \sqrt{87} \\\\base = 9.32 feet\)

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Jerica's net worth is $1500.

Net worth is asset minus the liabilities. Assets include savings account, retirement account and so on or items like car or property which you can sell for cash. Liabilities include money that you owe to another person or entity.

According to the question we have been Jessica's

                   Assets = $4000

                   Liabilities = $2500

The formula for the net worth is given as below :

     Net worth = Asset - Liabilities

Putting the required values in above formula we get

          Net worth = $4000 - $2500

          Net worth = $1500

Hence Jerica's net worth is $1500.

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

-------------

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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Answer:

980.71875

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

Using the end result and subtracting the number we already know, it will lead to the letter / variables answer.

Answer: -27

Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.

3, 9, -3, 3, -9, -3, -15, -9, -21, ?

We can start by looking at the differences between consecutive terms in the list:

9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12

Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:

-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21

Therefore, we predict that the most probable next number in the list is -27.

Answer:

b. line of best fit

Answer:2(x+1)

Step-by-step explanation:

"think of a number"  I thought of x.

"add 1"  OK                 x+1

"double the result"    2(x+1)

Answer:

No

Step-by-step explanation:

The ordered pair is not a solution to the equation.

Answer:

No

Step-by-step explanation:

Answer: D) 7 3/4

Step-by-step explanation:

With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4

Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses

29 = 21 1/4 + x

Now we can isolate x by subtracting 29-21 1/4

so

x = 7 3/4 thus the answer is D

Answer:

D) 7 3/4

Step-by-step explanation:

Let x = amount of last feeding.

7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4

4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x

28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x

29 = 20 10/8 + x

(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)

29 = 21 2/8 + x

29 = 21 1/4 + x

x = 29 - 21 1/4

x = 28 4/4 - 21 1/4

x = 7 3/4

Answer: 7 3/4

Answer: Hi!

Since this is a right triangle, we already know that one angle is 90 degrees. Since the angles of a triangle all add up to 180 degrees, and the two unknown angles will be equal, all we have to do is subtract 90 from 180 and then divide the difference by 2!

180 - 90 = 90

90 ÷ 2 = 45

The two missing angles are each 45 degrees.

(x = 45 and y = 45)

Make sure to put the degrees sign after your answers!

Hope this helps!

Answer:

45 degrees.

Step-by-step explanation:

All of the angles in a triangle is 180 degrees.

Knowing that we subtract 90 degrees, the right angle from 180 degrees.

180-90=90

Since both the angles are equal,

90/2=45

Hope this helps :)

Have a great day!

Let's draw an image to represent this question:

Then, in order to calculate the value of x, we can use the tangent relation of the 10° angle.

The tangent relation is given by the length of the opposite side to the angle over the length of the adjacent leg to the angle.

So we have:

So the horizontal distance from the person to the pole is 136.11 meters.

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).  Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

Abigail and Curtis Siebert have a $270,000 mortgage at an interest rate of 7% for a term of 20 years.

To calculate the monthly mortgage payment, we can use the formula for an amortizing mortgage:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),

where M is the monthly mortgage payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of monthly payments.

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is 7% divided by 12, which is approximately 0.5833%.

The total number of monthly payments is the term of the mortgage multiplied by 12. In this case, it's 20 years * 12 months, which equals 240 months.

Now, we can substitute the values into the formula:

M = 270,000 * (0.5833% * (1 + 0.5833%)^240) / ((1 + 0.5833%)^240 - 1).

Calculating this equation will give us the monthly mortgage payment for Abigail and Curtis Siebert.

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following algorithms correctly updates the values, If num is less than the minimum, set the minimum equal to num. Otherwise, if num is greater than the maximum, set the maximum equal to num.

The game records the highest and lowest scores that were earned. This indicates that the game already has the highest and lowest score stored in its memory.

Now, if a new score, num, is achieved, the game must compare num with the minimum and maximum scores in order to update the minimum and maximum scores. The minimum score is updated to the score, num if the most recent score, num, is lower than the minimum score.

Additionally, the maximum score is updated to the score, num if the most recent score, num, is higher than the maximum score.

Complete Question :

A certain game keeps track of the maximum and minimum scores obtained so far. If num represents the most recent score obtained, which of the following algorithms correctly updates the values of the maximum and the minimum?

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We first compute the partial derivatives of f(x, y):

f(x, y) = 5x² + 5y² - 10x + 21

∂f/∂x = 10x - 10

∂f/∂y = 10y

The critical points of f occur where both ∂f/∂x and ∂f/∂y are equal to zero. This only happens at the point (x, y) = (1, 0). (And this point does lie inside R.)

Next, compute the Hessian matrix H(x, y) for f :

\(H(x, y) = \begin{bmatrix}\frac{\partial^2f}{\partial x^2} & \frac{\partial^2f}{\partial x\partial y} \\ \frac{\partial^2 f}{\partial y\partial x} & \frac{\partial^2f}{\partial y^2}\end{bmatrix} = \begin{bmatrix}10&0\\0&10\end{bmatrix}\)

Since det(H(x,y)) = 100 is positive for all x and y, this means the critical point (1, 0) is a local minimum, and we have f(1, 0) = 16.

Next, we check for extrema along the boundary of R, which is comprised of a semicircle with radius 2 and the line segment connecting (-2, 0) and (2, 0).

• Parameterize the semicircular portion by

x(t) = 2 cos(t)

y(t) = 2 sin(t)

with 0 ≤ t ≤ π. Then

f(x(t), y(t)) = 20 sin²(t) + 20 cos²(t) - 20 cos(t) + 21

which is simplifies to a function of one variable t,

g(t) = 41 - 20 cos(t)

Find the extrema of g over the interval [0, π] : we have critical points when

g'(t) = 20 sin(t) = 0

which happens at t = 0 and t = π. At these points, we get local extreme values  of

•• t = 0   =>   x = 2 and y = 0   =>   f(2, 0) = 21

•• t = π   =>   x = -2 and y = 0   =>   f(-2, 0) = 61

• Over the line-segment portion, we take y = 0, so f(x, y) again reduces to a function of one variable:

f(x, 0) = 5x² - 10x + 21

Completing the square, we have

5x² - 10x + 21 = 5 (x - 1)² + 16

which has a maximum value of 16 when x = 1 (and this happens to be the critical point (1, 0) we found earlier).

So, over the region R, f(x, y) has

• an absolute maximum of 61 at the point (-2, 0), and

• an absolute minimum of 16 at (1, 0)

Answer:

hope it helps you.........

The regression output, shows that the predicted time that it took to gather the items if the order has 22 items is B. 16.06.

The fitted regression line is given as y = 3.0979 + 2.7633x

R² is also given as 96.7%.

Number of orders = 22

Therefore, the required prediction time will be:

y = 3.0979 + 2.7633x

y = 3.0979 + 2.7633(✓22)

y = 16.06

In conclusion the time is 16.06 minutes.

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Answer:

80,000,000

Step-by-step explanation:

76,161,555 is higher then 75,000,000 so it must round up.

Answer: 80,000,000

Step-by-step explanation:

since it's the ten million place you look at place value behind which is the millions place you see if the number is above or below 5. For this instance, since 6 is larger or above 5 you would round up. So, instead of 76,161,555 it would be 80,000,000

The dose for a 125 lb patient at 0.85 mg/kg would be 48.09 mg.

What is the unit conversion?

Unit conversion is the process of converting a measurement from one unit to another equivalent unit, while preserving its value. Unit conversion is often necessary in various fields such as science, engineering, medicine, and daily life.

To find the dose of medication for a patient based on their weight, we need to first convert their weight from pounds to kilograms.

1 kilogram = 2.20462 pounds

So, a 125 lb patient weighs 125/2.20462 = 56.699 kg.

Now that we have the patient's weight in kilograms, we can use the dose formula:

dose = weight * 0.85 mg/kg

dose = 56.699 kg * 0.85 mg/kg = 48.09 mg

Hence, the dose for a 125 lb patient at 0.85 mg/kg would be 48.09 mg.

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Answer:

Shop Y

Step-by-step explanation:

In order to compare, we need to make both the same units first. Since they give us the conversion factor 1 CAD=0.75 GBP, we can plug this in to the shoes from shop X. We get 35.90*0.75=26.93 GBP.

Now we can compare. Since 21 GBP < 26.93 GBP, we can see that shop Y's shoes are cheaper, and therefore the better deal.

The percentage error by calculating by differentials to approximate value of sqrt(99.4) = 0.00045 percentage.

For   percentage error Here first we have to find the value of sqrt(99.4) by  normal calculation and second we will calculate it by differential method then we will find the percentage error .

To approximate sqrt(99.4)  we will  use formula for linear approximation as given below  

f(x) = f(c) + f′(c)(x−c)

and we are dealing with square root so we have to find the f(x) ad here

f(x) = √x

and we will calculate  f'(x)  and here it is

f'(x) = 1/(2√x)

Here, x=99.4 and we choose c =100 because that’s the closest perfect square number to 99.4. so

f(c) = f(100) = √100 = 10

f'(c) = f'(100) =1/(2√100) = 1/20

f(x) =f(c) + f′(c)(x−c)

f(x) = f(99.4)=f(100)+f'(100)(99.4-100)

=10+1/20*(-0.6)

=9.97

Here we find the value by differential = 9.97

and by simple calculation the value is = 9.96995486

ans percentage error = (real value - differential value)/100

= (9.96995486-9.97)/100 = 0.00045 percentage

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The area of the shaded shape WXZY is approximately 29.05 cm² to 1 decimal place.

The sector's area in a circle is the whole area that is included inside the sector's boundary. The middle of the circle is where a sector always begins. The sector of a circle is the region of a circle that is contained between its two radii and the arc next to them. A semicircle is the area of a circle that most frequently represents half of a circle.

The area of the sector OWX can be calculated as:

\(A = (75/360) \times \pi \times 35^{2} = 63.62 cm^2\)

And the area of the sector OYZ can be calculated as:

\(A = (75/360) \times \pi \times 24^{2} = 34.57 cm^2\)

The shaded area WXZY is the difference between the area of the two sectors, which is:

A = 63.62 - 34.57 = 29.05 cm²

Therefore, the area of the shaded shape WXZY is approximately 29.05 cm² to 1 decimal place.

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Complete question -

Answer: 3 baskets 6 oranges in each and 9 pears in each

Step-by-step explanation:

Answer:

(E) 16.1157

Step-by-step explanation:

Q has geometric distribution with p = 0.22

"Variance of Q" V(Q) = 1 - p / p²

V(Q) = 1 - 0.22 / 0.22²

V(Q) = 0.78 / 0.0484

V(Q) = 16.11570247933884

V(Q) = 16.1157

So, the Variance of random variable Q is 16.1157

This question is based on the variance. Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

Given:

Community speak a language other than English at home  = 22 percent

Let random variable Q represent the number of attempts needed.

The random variable Q has a geometric distribution with p=0.22.

We need to determined the closest to the variance of random variable.

As we know that,

Q has a geometric distribution with p=0.22

Now calculate the variance of Q,

\(V(Q)=\dfrac{1-p}{p^{2} }\)

\(V(Q)=\dfrac{1-0.22}{0.22^{2} }\)

\(V(Q)=\dfrac{0.78}{0.484} }\)

Therefore, the variance  V(Q) is 16.1157.

Hence, the correct option is D i.e. 16.1157 is closest to the variance of the random variable.

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Answer:

Domain: [10, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

Step 1: Write equation

f(x) = √(x - 10)

We know that if we get negatives under the square root, we would get imaginary numbers.

Our domain to include all x-values would have to be bigger than 10:

f(10) = √(10 - 10) = √0 = 0

If the number is smaller than 10, we get: f(9) = √(9 - 10) = √-1 = i

Therefore, our real numbers domain would be [10, ∞) or x ≥ 10.

Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

You get an even number

Step-by-step explanation:

2 + 2= 4

4 + 4= 8

6 + 6= 12

8 + 8 = 16

10 + 10 = 20

etc.

Answer:

sorry is i m wrong hope this will help you

Step-by-step explanation:

z²-12z+24=0

z²-6x-6z+36-12=0

z(z-6)-6(z-6)-12=0

(z-6)(z-6-12)=0

(z-6)(z-18)=0

either

z-6=0

z=6

or

z-18=0

z=18