Pythagorean Theorem On Coordinate Systems-Independent Worksheet

Find the distance between all the points listed below

Help me people please

Answer:

quadratic

Step-by-step explanation:

because there is a consistent change within the change

srry it sounds confusing but trust me haha

Answer:

2-241x

Step-by-step explanation:

9514 1404 393

Answer:

  60 meters

Step-by-step explanation:

The area of Square B is the difference of the areas of squares C and A, so is 225 square meters. The side length is √225 = 15 meters, so the sum of the lengths of the four sides is 4·15 = 60 meters.

The perimeter of square B is 60 meters.

Answer:

Option C  

Step-by-step explanation:

First evaluate √6 and √9

We are given that 3 is the base and height is about 2.4

Now let's find the area:

\(A=\frac{h_bb}{2} =\frac{2.45*3}{2}\) ≈ \(3.67423\)

Now that we have the area, let's evaluate the options.

√45  ≈ 6.7

√15 ≈ 3.9

3√6/2 ≈ 3.7 (No need for more steps as we've found the answer).

3√6/2 equals the area of the triangle which was 3.67423...

Hence, the answer would be Option C. 3√6/2

The value of each trigonometric identity is:

3/2

5/6

14/3

We have,

We will use the trigonometric formula and substitute the given values.

So,

Cosec θ

This can be written as,

= 1/ sin θ

= 1/(2/3)

= 3/2

And,

Sin θ

This can be written as,

= 1/ cosec θ

= 1/(6/5)

= 5/6

And,

Sec θ

This can be written as,

= 1/cosθ

= 1/(3/14)

= 14/3

Thus,

The value of each trigonometric identity is:

3/2

5/6

14/3

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Answer:

27)  (7 + 9) · 3 / 6 = 48/6 = 8

28) (-7)² - 3(-7)(4) = 49 - (-84) = 133

Step-by-step explanation:

Answer:

2/15

...................

Answer:2/15

Step-by-step explanation:

The binomial theorem to find the coefficient of xayb in the expansion of (2x3 - 4y2)7 are as follows :

a) For \(\(a = 9\)\) and \(\(b = 8\):\)

\(\(\binom{7}{9} \cdot (2x^3)^9 \cdot (-4y^2)^8\)\)

b) For \(\(a = 8\)\) and \(\(b = 9\):\)

\(\(\binom{7}{8} \cdot (2x^3)^8 \cdot (-4y^2)^9\)\)

c) For \(\(a = 0\)\) and \(\(b = 14\):\)

\(\(\binom{7}{0} \cdot (2x^3)^0 \cdot (-4y^2)^{14}\)\)

d) For \(\(a = 12\)\) and \(\(b = 6\):\)

\(\(\binom{7}{12} \cdot (2x^3)^{12} \cdot (-4y^2)^6\)\)

e) For \(\(a = 18\)\) and \(\(b = 2\):\)

\(\(\binom{7}{18} \cdot (2x^3)^{18} \cdot (-4y^2)^2\)\)

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Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))

he company is considering whether to market a new product. They assess that the probabilities of the outcomes - success or failure - are p and 1-p, respectively. If the product is marketed and it fails, the company will have a net loss of $450,000. If the product is marketed and it succeeds, the company will have a net gain of $540,000. If the company decides not to market the product, there is no gain or loss.
The company can conduct a survey of prospective buyers to determine the market potential. The survey results can be classified as favorable, neutral, or unfavorable. Based on similar surveys for previous products, the company assesses the probabilities of favorable, neutral, and unfavorable survey results to be 0.6, 0.3, and 0.1 for a product that will evntually be a success, and 0.1, 0.2, and 0.7 for a product that will eventually be a failure.
The total cost of conducting the survey is c dollars. The question asks for which values of c, if any, would the company choose to conduct the survey, given that p=0.4.
To determine whether to conduct the survey, we need to compare the expected gains/losses from marketing the product with and without the survey.
If the company markets the product without the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss without survey = (p * gain from success) + ((1-p) * loss from failure)
= (0.4 * $540,000) + (0.6 * -$450,000)
If the company markets the product with the survey, the expected gain/loss can be calculated as follows:
Expected gain/loss with survey = (p * (probability of success given favorable survey * gain from success + probability of failure given favorable survey * loss from failure)) + ((1-p) * (probability of success given unfavorable survey * gain from success + probability of failure given unfavorable survey * loss from failure))
= (0.4 * (0.6 * $540,000 + 0.1 * -$450,000)) + (0.6 * (0.2 * $540,000 + 0.7 * -$450,000))

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Answer:

Supplementary angles

Step-by-step explanation:

AEB and BEC form a straight line.

They add to 180 degrees

AEB+ BEC

150+30

180

That means that they are supplementary angles

Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon

Step-by-step explanation:

Answer:

x = -4

y = 6

Step-by-step explanation:

\(y = \dfrac{-3}{4}x+3----(i)\\\\\\y = \dfrac{-1}{2}x+4-----(ii)\\\\\\Substitute \ y = \dfrac{-3}{4}x+3 \ in \ equation \ (ii)\\\\\)

            \(\dfrac{-3}{4}x+3=\dfrac{-1}{2}x+4\\\\\\\dfrac{-3}{4}x+\dfrac{1}{2}x +3 = 4\\\\\\\dfrac{-3}{4}x+\dfrac{1*2}{2*2}x+3=4\\\\\\\dfrac{-3}{4}x+\dfrac{2}{4}x=4-3\\\\\\\dfrac{-1}{4}x=1\\\\\\x=1*\dfrac{4}{-1}\\\\x=-4\)

\(Substitute \ x = -4 \ in \ equation (i)\\\\y=\dfrac{-3}{4}*(-4)+3\\\\\\y=3+3\\\\y=6\)

I can’t answer anything from my side so I will guide you the best I can! Measure the highlighted lines on the image. Then record the numbers into the correct areas(length,width,height). Then multiply all of the numbers above. That’s how you answer question 3. I’m sorry that I can’t do much more on my side.

Answer:

hats r yum

Step-by-step explanation:

they are

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

Answer:

The 3 angles will add up to 180 degrees.

Step-by-step explanation:

A triangle only has 3 angles that total up to 180 degrees, so if you're given the three angles then you know that they will sum to 180 degrees.

Answer:

Step-by-step explanation:

All the sides are marked with congruency slashed, and they all line up when you orient the triangles the same way, so the statement is SSS.

The x and y components of the total force exerted on this charge by the other two charges are 3.72 × 10⁻⁶ N and 8.87 × 10⁻⁶ N respectively. The magnitude of this force is 9.64 × 10⁻⁶ N. The direction of this force is 66.02° below the +x-axis.

The formula to calculate electric force is:

Electric force = (k*q1*q2)/r²

Where,k = Coulomb's constant = 9 × 10⁹ Nm²/C²

q1, q2 = Charges in Coulombs

r = Distance in meters

(a) The third charge q3 at (3.10, 3.95) experiences the force from q1 and q2.

Let's calculate the distance of q3 from q1 and q2.

Distance from q1 to q3 is = sqrt( (3.10-0)² + (3.95-0)² ) = 4.38 cm = 0.0438 m

Distance from q2 to q3 is = sqrt( (3.10-0)² + (3.95-3.95)² ) = 3.10 cm = 0.0310 m

Magnitude of electric force due to q1 = k*q1*q3/r1²Here, q1 = -3.20 nC and q3 = 5.00 nC

Thus, the electric force due to q1 = (9 × 10⁹) * (-3.20 × 10⁻⁹) * (5.00 × 10⁻⁹) / (0.0438)² = - 9.38 × 10⁻⁶ N ….. (i)

Here, r1 is the distance from q1 to q3.

Distance from q2 to q3 is = 3.10 cm = 0.0310 m.

Magnitude of electric force due to q2 = k*q2*q3/r2²Here, q2 = 1.60 nC and q3 = 5.00 nC

Thus, the electric force due to q2 = (9 × 10⁹) * (1.60 × 10⁻⁹) * (5.00 × 10⁻⁹) / (0.0310)² = 8.87 × 10⁻⁶ N ….. (ii)

Here, r2 is the distance from q2 to q3.

Total force in the x direction on q3 is: Fx = F1x + F2xFx = -F1 cos(θ1) + F2 cos(θ2)

Here, θ1 is the angle between r1 and the x-axis and θ2 is the angle between r2 and the x-axis

Let's calculate the angle θ1

tanθ1 = (3.95 - 0) / 3.10θ1 = tan⁻¹(3.95/3.10) = 51.04°

And the angle θ2

tanθ2 = (3.95 - 0) / 0θ2 = 90°

Now, the force in the x direction on q3:

Fx = - F1 cos(θ1) + F2 cos(θ2) = -(-9.38 × 10⁻⁶) cos(51.04) + 8.87 × 10⁻⁶ cos(90°) = 3.72 × 10⁻⁶ N

Total force in the y direction on q3: Fy = F1y + F2yFy = -F1 sin(θ1) + F2 sin(θ2)

Here, θ1 is the angle between r1 and the y-axis and θ2 is the angle between r2 and the y-axis. Let's calculate the angle θ1

tanθ1 = 0 / 3.10θ1 = tan⁻¹(0/3.10) = 0°

And the angle θ2

tanθ2 = 0 / 0θ2 = 90°

Now, the force in the y direction on q3:

Fy = - F1 sin(θ1) + F2 sin(θ2) = -(-9.38 × 10⁻⁶) sin(0°) + 8.87 × 10⁻⁶ sin(90°) = 8.87 × 10⁻⁶ N

Thus, the x and y components of the total force exerted on this charge by the other two charges are 3.72 × 10⁻⁶ N and 8.87 × 10⁻⁶ N respectively.

(b) The magnitude of this force = √(Fx² + Fy²) = √[(3.72 × 10⁻⁶)² + (8.87 × 10⁻⁶)²] = 9.64 × 10⁻⁶ N

The magnitude of this force is 9.64 × 10⁻⁶ N.

(c) Calculation of the direction of this force.

θ = tan⁻¹(Fy/Fx)θ = tan⁻¹(8.87 × 10⁻⁶ / 3.72 × 10⁻⁶) = 66.02°

The direction of this force is 66.02° below the +x-axis.

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Answer:

y = 7 - 3x is linear.

The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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You are given either the x value or the y value.

Replace the x or y in the equation and solve for the missing values.

-4x + 5y = 3

First you are given x = 0:

So you have -4(0) + 5y = 3

Simplify:

0 + 5y = 3

Divide both sides by 5:

y = 3/5

Next you have x = 1:

-4(1) + 5y = 3

Simplify:

-4 + 5y = 3

Add 4 to both sides:

5y = 7

Divide both sides by 5:

y = 7/5

Third you are given y = 3

-4x + 5(3) = 3

Simplify:

-4x +15 = 3

Subtract 15 from both sides:

-4x = -12

Divide both sides by -4:

x = 3

The equation can be written as,

The missing side of the field can be determined as,

Thus, the required value of the length of the field is 50 ft.

Answer:\

[1] Civil In Charge

[1-1] Security In charge

[1-2] TFD In charge

[1-3] Internal Affairs

[1-4] Team leader

Answer:

x=1,9

Step-by-step explanation:

First, we expand the equation into the form ax^2+bx+c=0

2(x-5)^2=32

2(x^2-10x+25)-32=0

2x^2-20x+18=0

x^2-10x+9=0 (divide both sides by 2)

(x-1)(x-9)=0

x=1,9

Answer:

Step-by-step explanation:

assuming you meant -4(-3x-3y)=15, it can be simplified by multiplying -4 with the inside of the parenthesis, 12x+12y=15, divide by 12 and x+y=15/12 or 1.25, x+y=1.25

The required probabilities are \(P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}\).

Given:

Pennies = 65

Nickels = 27

Dimes = 30

Quarters = 18

To find:

The probability of each.

Solution:

The probability formula:

\(\text{Probability}=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}\)

Total number of coins:

\(65+27+30+18=140\)

The probability of selecting Pennies is:

\(P(\text{pennies})=\dfrac{65}{140}\)

\(P(\text{pennies})=\dfrac{13}{28}\)

The probability of selecting nickels is:

\(P(\text{nickels})=\dfrac{27}{140}\)

The probability of selecting dimes is:

\(P(\text{dimes})=\dfrac{30}{140}\)

\(P(\text{dimes})=\dfrac{3}{14}\)

The probability of selecting quarters is:

\(P(\text{quarters})=\dfrac{18}{140}\)

\(P(\text{quarters})=\dfrac{9}{70}\)

Therefore, the required probabilities are \(P(\text{pennies})=\dfrac{13}{28},P(\text{nickels})=\dfrac{27}{140},P(\text{dimes})=\dfrac{3}{14},P(\text{quarters})=\dfrac{9}{70}\).

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Answer:

x=20; vertical angles theorem

Step-by-step explanation:

hi! we can use the vertical angles theorem for this. vertical angles are congruent to each other, meaning they are the same amount of degrees. so, we can set 2x+10 and 50 equal to each other.

2x+10=50

2x=40

x=20

x=20 because of the vertical angles theorem.

As per unitary method the recipe makes 20.5 servings of lemonade.

The unitary method is a method used to find the number of servings in a recipe by dividing the total amount of ingredients by the serving size.

Let's say a serving size of lemonade is 1 cup. To find the number of servings, we need to divide the total amount of lemonade by the serving size.

In this case, the total amount of lemonade is

=> 2 cups of lemon juice + 16 cups of water + 2.5 cups of agave nectar

=> 20.5 cups.

So, the number of servings can be found by dividing 20.5 cups by 1 cup per serving, which equals 20.5.

In conclusion, the unitary method is a simple way to find the number of servings in a recipe by dividing the total amount of ingredients by the serving size

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To extract the first two principal components for each data point, you can use principal component analysis (PCA) which is a statistical technique for dimensionality reduction.

PCA works by transforming data from a high-dimensional space into a lower-dimensional space, while preserving as much of the variance as possible.

To draw a scatter plot of two-dimensional representations of the countries using their two principal components, you will need to first fit a PCA model on the data, then use the fitted model to transform the data into two principal components. You can then plot the two principal components in a scatter plot.

When plotting the two principal components, you can mark the countries on the plot by hand. The scatter plot will show how the countries are related to each other in terms of the two principal components.

A pattern you might observe in the scatter plot is that countries that are similar in terms of their characteristics (such as economic development, population, culture, etc.) tend to be clustered together in the plot. For example, countries in Europe may be grouped together, while countries in Africa may be grouped separately. This suggests that the two principal components are able to capture some of the similarities and differences between countries.

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Anthonia's total monthly payments equals to $2345.76. The Option C is correct.

To calculate Antonia's total monthly payments, we need to consider the following factors:

The amount of the mortgage:

The interest rate:

Private Mortgage Insurance (PMI):

Since Antonia made a down payment of less than 20%, she will need to pay PMI. To calculate the PMI premium, we need to determine the base-to-loan percentage, which is the percentage of the home's value that is being financed.

Since Antonia's home is valued at $205,000 and she made a down payment of $10,500, the base-to-loan percentage is 95.12% ($194,500 ÷ $205,000). Looking at the table provided, we can see that the PMI premium for a 15-year fixed-rate loan with a base-to-loan percentage of 95.01% to 97% is 0.26%.

Property taxes:

Homeowners insurance:

Using these factors, we can calculate Antonia's total monthly payments:

Data

Mortgage payment = $1,671.05 (calculated using a mortgage calculator)

PMI premium = $42.37 ($194,500 x 0.26% ÷ 12)

Property taxes = $598

Homeowners insurance = $40

Total monthly payments will equals to

= $1,671.05 + $42.37 + $598 + $40

= $2,351.42

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Answer:

It's A

Step-by-step explanation:

2232.92 - Source: trust me bro