Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?

Answer:

Answer choices?

Step-by-step explanation:

The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle

An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

In conclusion, the correct option is D.

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the boat is traveling in the direction of  68.2 degrees from the positive x-axis.

In mathematics, a vector is a mathematical object that has both magnitude and direction. Vectors are commonly used to represent physical quantities such as velocity, acceleration, and force. A vector can be represented by an arrow, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Given by the question.

The direction in which it travels is given by the arctan(y/x)=

arctan (-4/3) = -53.13 degrees = 36.87 degrees

To find the speed of the boat, we need to calculate the magnitude of the vector b, which represents the boat's velocity. Using the Pythagorean theorem, we can find the magnitude of b as follows:

|b| = sqrt (\((-2)^{2}\)  +\((-5)^{2}\)) = sqrt (4 + 25) = sqrt (29)

Therefore, the speed of the boat is approximately 5.39 meters per second.

To determine the direction of the boat in standard position, we use the arctan function to find the angle between the vector b and the positive x-axis. The angle can be calculated as:

theta = arctan (-5/-2) = arctan (2.5) = 1.19 radians or 68.2 degrees (rounded to one decimal place).

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SOLUTION

The question involves combination since it only deals with the selection without arrangement.

Hence the formula to use is

For this question, we have

Simplifying the last expression we obtained

Therefore,

The number of committees to be chosen is 3003

Answer:

The expression 5/(9x+1) is already simplified. It cannot be further simplified or "solved" because it is not an equation, it is just an expression.

Step-by-step explanation:

Answer:

The first box (upper left corner)

Step-by-step explanation:

Since the y-intercept is 1/4 (you can find this where x = 0), in slope intercept the second number must equal the y-intercept.

Example:

y = 3x + 2 (0,2) is the y-intercept.

Therefore, the second number must equal 1/4 which the first box is correct.

(Negative 1/4 multiplied by -1 equals positive 1/4)

Answer:

28.26 units³

Step-by-step explanation:

gi solved kopo yan

Working together, they can complete the task in 4 hours and 48 minutes.

A certain amount of time (T) is taken to complete a certain work (W). The number of units of work done per unit time is called the rate of work (R). Hence, Work (W) = Rate (R) Time (T) Whenever some work is done, the total work itself can be taken as one unit.

Tracy needs 8 hours to complete the task.

Then we can find the ratio of work over time as:

1 task/8 hours = 1/8 task per hour.

This means that she can complete 1/8 of the task per hour.

Dave needs 12 hours to complete the task, then his ratio is:

1 task/12 hours = 1/12 task per hour.

This means that he can complete 1/12 of the task in one hour.

If they work together, then the ratios can be added:

R = \(\frac{1}{8}\) +  \(\frac{1}{12}\)

  = \(\frac{3+2}{24}\)

  = \(\frac{5}{24}\)

So, working together, in one hour they can complete  \(\frac{5}{24}\) of the task, now we can find the number of hours needed to complete the task as:

\(\frac{5}{24}\)×\(x\)= 1 task

x = \(\frac{24}{5}\) hours = 4.8 hours

knowing that an hour is 60 minutes, then 0.8 of an hour is 60*0.8 = 48 minutes.

Then x = 4 hours and 48 minutes.

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Answer:

Line A

Step-by-step explanation:

1-4 is correct

the answer is 0.00924

1-4 if you'll solve it will be that answer

Answer:

A.

B.

C.

D.

Step-by-step explanation:

when you solve the first equation, you get 0.00924

solving all of the equations, a-d get the same answer. only the last one - E - has a different solution.

hope this helps :)

Answer:

HOPE ITS HELPFUL TO yours

the assumption of true premises and a false conclusion leads to a contradiction, and thus the given argument is invalid.

In the indirect truth table, we consider different truth value assignments to the propositions involved in the argument to determine if there is any combination that satisfies the premises while making the conclusion false. If we find a line where the premises are true and the conclusion is false, it indicates that the argument is invalid.

In this case, by examining the truth values of propositions J, K, L, B, and I, we can derive the truth values for the premises and conclusion in each line of the indirect truth table. After evaluating multiple lines, we find that in all cases where the premises are true, the conclusion is also true. There is no line where the premises are true and the conclusion is false, indicating that the argument is invalid.

Therefore, based on the results of the indirect truth table, we can conclude that the assumption of true premises and a false conclusion leads to a contradiction, and thus the given argument is invalid.

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The number given is

It is a real number , irrational number and integer.

The correct options are

Irrational number

Integer

Real number.

Answer:

can u text yr question more clearly to understand

Step-by-step explanation:

Multiply inches by 2.54 to get centimeters. Multiply inches by 25.4 to get millimeters.

No, it is not possible for the two tangents to intersect each other outside the circle.

We have,

The concept used in this explanation is that a tangent to a circle is perpendicular to the radius at the point of tangency.

This is a fundamental property of circles and tangents, based on geometry and the definition of a tangent line.

No, it is not possible for the two tangents to intersect each other outside the circle.

This is because tangents to a circle are perpendicular to the radius at the point of tangency. If the tangents intersect with ed each other outside the circle, it would imply that they are not perpendicular to the radius, which contradicts the definition of a tangent.

Thus,

No, it is not possible for the two tangents to intersect each other outside the circle.

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Yes, it is possible for the two tangents to intersect each other outside the circle only when the tangents are perpendicular to the diameter. They will intersect at the point directly opposite to the center of the circle. This concept combines the properties of tangents and circles that are normally covered in high school geometry.

In the context Mathematics and Geometry, the situation you have described where two tangents to a circle meet at opposite ends of a diameter is indeed possible, but only in one specific scenario: when the tangents are perpendicular to the diameter and they intersect each other at the point directly opposite to the center of the circle. This is because, by geometry, a tangent to a circle is perpendicular to the radius at the point of tangency. Thus, if the tangents are drawn at the endpoints of a diameter, they will be parallel and will not intersect each other outside the circle.

In contrast, if the tangents are drawn such that they are perpendicular to the diameter, they will intersect at a point that is a distance from the center of the circle equivalent to the length of the radius, and directly opposite the center of the circle. This point of intersection of the tangents is outside the circle.

The properties of tangents and circles, which we use in the explanation, are part of the standard curriculum in high school geometry.

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The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

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Therefore, the integral is given by\(7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + C\) of the given equation.

We have to evaluate the integral using the given function. The given function is: \(7 tan^2(x) tan^4(x) dx\) Integral is given as:integral \(7 tan^2(x) tan^4(x) dx\)

Step 1:We can rewrite \(tan^4(x) as tan^2(x) × tan^2(x).\)Therefore, the given integral becomes integral \(7 tan^2(x) × tan^2(x) × tan^2(x) dx\)

Step 2:We can rewrite the term \(tan^2(x) as sec^2(x) - 1\).Therefore, the given integral becomes integral 7 (sec^2(x) - 1) × (sec^2(x) - 1) × tan^2(x) dx

Step 3:Let’s assume t = tan(x).Hence, \(dt/dx = sec^2(x)dx and dx = dt/sec^2(x)\) After substitution, the given integral becomes\(∫7 (t^2 + 1 - 1/t^2) (t^2 + 1 - 1/t^2) dt/t^2\)

Step 4:Simplifying the expression, we get\(7 ∫(t^2 + 1)^2/t^2 dt - 7 ∫dt/t^2 - 7 ∫1/t^4 dtOn solving the above integral, we get7 ∫(t^4 + 2t^2 + 1)/t^2 dt - 7 ∫dt/t^2 + 7 ∫t^-4 dt\)

Step 5:Solving the integral\(7 ∫(t^4 + 2t^2 + 1)/t^2 dt = 7 ∫(t^2 + 2 + 1/t^2) dt= 7 ∫(t^2 + 1/t^2) dt + 14∫ dt Using the formula, a^2 + 2ab + b^2 = (a + b)^2 and substituting t + 1/t = u, we can write the above integral as∫(t^2 + 1/t^2) dt = ∫(t + 1/t)^2 - 2 dt= ∫u^2 - 2 du= u^3/3 - 2u + C= (t^3 + 3t)/3 - 2(t + 1/t) + C\)

After substitution, we get

\(7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + CTherefore, the integral is given by7 [(t^3 + 3t)/3 - 2(t + 1/t)] + 14t^-1 - 7t^-3 + C.\)

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

The linear equation to represent the cost, correct answer is A) C = 0.04z.

What is equation?

An equation is a mathematical statement that shows the equality of two expressions. It consists of two parts, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=).

To find the cost per zinnia plant, we can first find the cost per plant for each order separately, and then take the average.

For the first order of 200 zinnia plants at a cost of $23, the cost per plant is:

$23 ÷ 200 = $0.115

For the second order of 500 zinnia plants at a cost of $35, the cost per plant is:

$35 ÷ 500 = $0.07

To find the average cost per plant, we can take the total cost and divide by the total number of plants:

($23 + $35) ÷ (200 + 500) = $0.067

So the cost per zinnia plant is $0.067.

Now we can write the linear equation to represent the cost, C, to purchase z number of zinnia plants:

C = 0.067z

Therefore, the correct answer is A) C = 0.04z.

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Answer:

Step-by-step explanation:

Altitude or height

Answer

It is known as altitude

There are three such altitudes and the point of intersection of these altitudes

is called as orthocentre

2x - 4y + 9 is the equation of the line in standard form.

Ax + By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x + 3y=5.

Finding both intercepts of an equation in this format is fairly simple (x and y). When resolving systems of two linear equations, this form is also really helpful.

Lets write the equation of the line in standard form:

4y=2x+9

We know that standard form =  Ax + By=C

⇒ 4y = 2x + 9

⇒ 2x - 4y + 9

Here,

Ax = 2x

By = -4x

C = 9

Thus, 2x - 4y + 9 is the equation of the line in standard form.

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Answer:

i did say something boo boo

Step-by-step explanation:

Answer:

They did, I believe bleep's last words were "One day all this will fade away."

Step-by-step explanation:

May I have brainliest please? :)

To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.

Profit is the difference between the total revenue and total cost of a business. It is an important measure of the success of a business, as it shows how much money the business is making from its operations. Profit is usually expressed as a percentage of the total revenue. It is also known as "net income" or "net profit" and is the amount of money left over after all expenses, including taxes, have been paid. Profit is important because it allows a business to reinvest in itself, expand, and grow. It can also be used to pay dividends to shareholders, increase wages, and cover other expenses.

To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price. This is because if the shopkeeper was gaining 20% before, a 10% discount would reduce the profit he is making to 10%.

Lets 20% gain = $20

Then market price be = 120/100 = $120

10% gain = $110

Discount = $120 -  $110

               = $10

Discount % = 10/120

                  = 0.083

                  = 8.33%

Thus, To gain 10% profit, the shopkeeper must offer a 8.33% discount on the market price.

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Answer:

a rational number

Step-by-step explanation:

To find the consumers' surplus, we first need to find the equilibrium price (P) and quantity (Q). The equilibrium quantity (Q) is given by Xe = 17 units.

D(x) = 850/(8+x)
D(17) = 850/(8+17)
D(17) = 50

Therefore, Q = 17 and P = D(17) = 50.

Next, we need to find the area under the demand curve (D) and above the price (P) for each unit of quantity (Q) up to the equilibrium quantity (Qe). This area represents the value that consumers receive from purchasing the product at a price lower than their willingness to pay.

The formula for the consumers' surplus (CS) is:

CS = ∫[P,∞] D(x) dx

where ∫ is the integral sign, P is the price, and D(x) is the demand function.

CS = ∫[50,∞] (850/(8+x)) dx

CS = [850 ln(8+x)]50∞

CS = 850 ln(25) - 850 ln(8)

CS = 850 (2.3979 - 2.0794)

CS = 272.13

Therefore, the consumers' surplus for the product is $272.13. This means that consumers receive an additional $272.13 in value from purchasing the product at a price lower than their willingness to pay.

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