Hello can someone please help me understand this assignment question? thank you!!!

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer:it will be D

Step-by-step explanation: because $100 + 4%=$100.4

We can draw the triangle for clarification:

We can use the pythagoras theorem:

The exact length of the third side is:

Answer:

The transformation is " a horizontal translation 4 units to the right " ⇒ (d)

Step-by-step explanation:

Let us revise the translation of a function

Let us look at the graph and choose some points on the f(x) and find their images on y

∵ Point  (1, 2) lies on f(x)

∵ Point (5, 2) lies on y

∵ Point  (3, 8) lies on f(x)

∵ Point (7, 8) lies on y

→ There is no change in the y-coordinates of the points, the change

  only in the x-coordinates

∴ The translation is horizontally

∵  5 - 1 = 4 units ⇒ positive value means to right

∴ f(x) is translated 4 units to the right

∴ The answer is " a horizontal translation 4 units to the right " (d)

Finding the values of d and the value of m with the algebraic working will give us the the value of d to be 7 and the value of m to be 3.

Finding the value of d, we know that the sum of the first n terms of an arithmetic series is given by:

S = n/2 * (2a + (n-1)d)

Since the sum of the first n terms is S and the sum of the first 2m terms is S2m, we can set up the following equation:

S = m/2 * (2a + (m-1)d)

S2m = 2m/2 * (2a + (2m-1)d)

Substituting the given values for S and S2m into these equations, we get:

39 = m/2 * (2a + (m-1)d)

320 = 2m/2 * (2a + (2m-1)d)

Solving for d in each equation, we find that d = -7 in the first equation and d = 7 in the second equation. Since d must be a prime number, the only possible value for d is 7.

Now that we know the value of d, we can solve for m. Substituting the value of d back into one of the equations and solving for m, we get:

39 = m/2 * (2a + (m-1)7)

78 = m * (2a + (m-1)7)

78 = m * 2a + 7m^2 - 7m

7m^2 - m - 78 = 0

We can solve for m using the quadratic formula:

m = (-1 +/- sqrt(1^2 - 4*7*(-78)))/(2*7)

= (-1 +/- sqrt(2521))/14

= (-1 + 49)/14 = 3

= (-1 - 49)/14 = -7

Since m must be a positive integer, the only possible value for m is 3.

Therefore, the value of d is 7 and the value of m is 3.

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Answer:

(x+5, y-2)

Step-by-step explanation:

Move right 5 units and moves down 2 units

Answer:

Step-by-step explanation:

Slope of x-2y=6 is ½.

Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2

The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.

The most common number of hours volunteered is 22.

Option B is the correct answer.

We have,

A.
The number of students who volunteered more than 30 hours is greater than the number of students who volunteered fewer than 30 hours.

This can not be determined from the given stem-and-leaf plot as it only shows the frequency distribution of hours volunteered without any specific count of students.

The plot only indicates that there are some students who volunteered between 31-36 hours (stem 3, leaves 33, and 36) and one student who volunteered for 44 hours (stem 4, leaf 4).

Therefore, option A is not supported by the given data.

B.

The most common number of hours volunteered is 22.

From the stem-and-leaf plot, we can see that the mode is 22 as it has the highest frequency (stem 2, leaves 2, 5, 7, 8).

Hence, option B is supported by the given data.

C.

The number of students who volunteered between 9 and 20 hours is greater than the number of students who volunteered more than 40 hours.

This statement cannot be confirmed by the given stem-and-leaf plot as there are no leaves in stem 1, which means there are no students who volunteered less than 10 hours. Also, there are no leaves in stem 4, except for one leaf with a value of 44.

Therefore, we can not determine how many students volunteered between 9-20 hours and more than 40 hours. Hence, option C is not supported by the given data.

D.

The most common number of hours volunteered is 41.

There are no leaves in stem 4 except for the value of 44, which means there is no student who volunteered for 41 hours.

Hence, option D is not supported by the given data.

Therefore,

The most common number of hours volunteered is 22.

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Solution

For this case we can use the following formula:

For this case we have:

P= 70

r= 0.05

t= 1

And replacing we got:

Then the final answer for this case is 73.5

Answer:

y = 5x-17

Step-by-step explanation:

point slope form would be

y- -2   =  5(x-3)        or  re-arrange to:    y = 5x -17

Java libraries are built-in functions that contain several classes.

Some advantages of using Java mathematical libraries are:

There are various other advantages of the Java mathematical libraries.

Some examples of the Java mathematical libraries and their usage are:

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The required coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) are given by the formula (x₁ + x₂)/2, (y₁ + y₂)/2.

Since G and O are the midpoints of the sides of square GEOM, the length of each side of the square is the distance between G and O. The distance between the two points can be calculated using the distance formula:

distance = √((x₁ - x₂)² + (y₁ - y₂)²)

Plugging in the coordinates of G and O, we get:

distance = √((-4 - 2)²+ (2 - (-2))²)

distance = √(6² + 4²)

distance = √(36 + 16)

distance = √(52)

distance = 2 √(13)

Thus, the length of each side of the square is 2 √(13).

To find the coordinates of E, we need to move 2 √(13) units to the right of G. Therefore, the coordinates of E are (2 + 2 √(13), -2).

To find the coordinates of M, we need to move 2 √(13) units above O. Therefore, the coordinates of M are (-4, 2 + 2 √(13)).

So the coordinates of E are (2 + 2 √(13), -2) and the coordinates of M are (-4, 2 + 2 √(13)).

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Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The x < 4 function is increasing to the vertex, x> 4 function is decreasing and approximate average rate of change of the graph is 70, and x ∈(0, 8) is the domain of the function.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Part A:

When the profit is zero, the x intercepts depict it. The biggest profit happens at the vertex, which has the highest value. The function increases until it hits the vertex, then decreases after that.

x < 4 function is increasing to the vertex.

x> 4 function is decreasing

Part B: approximate average rate of change of the graph from x = 1 to x = 4:

= [f(4) - f(1)]/(4-1)

= (270-60)/3

= 70

Part C: We can't sell pay individuals to take the thing since the domain is confined by x at x =0. We are constrained in terms of business at x=8.

Thus, the x < 4 function is increasing to the vertex, x> 4 function is decreasing and approximate average rate of change of the graph is 70, and x ∈(0, 8) is the domain of the function.

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Answer:

Transformed equation: 6(x-9)³ - 3

Step-by-step explanation:

Answer:

6(x - 9)^3 - 3

Step-by-step explanation:

1. Vertical Stretching : f(x) -> g(x): \(g(x) = 6x^{3}\)

2. Horizontal Move: g(x) -> h(x): \(h(x) = 6{(x - 9)}^{3}\)

3. Vertical Move: h(x) -> F(x): \(F(x) = 6{(x - 9)} ^{3} - 3\)

Answer:

I think the blue one

Step-by-step explanation:

Answer:

\( \boxed{\sf Radius \ of \ circle = 18 \ ft} \)

Given:

Circumference of a circle = 36π feet

To Find:

Length of the radius of circle (r).

Step-by-step explanation:

\( \sf \implies Circumference \: of \: a \: circle =2\pi r \\ \\ \sf \implies 36 \cancel{\pi} = 2 \cancel{\pi }r \\ \\ \sf \implies \frac{36}{2} = \frac{ \cancel{2}r}{ \cancel{2}} \\ \\ \sf \implies \frac{36}{2} = r \\ \\ \sf \implies r = \frac{36}{2} \\ \\ \sf \implies r = \frac{18 \times \cancel{2}}{ \cancel{2}} \\ \\ \sf \implies r = 18 \: ft\)

1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Answer:

Step-by-step explanation:

the answer is 130.. because its a corresponding angles

that means corresponding angles are equal

Answer:

yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular

Step-by-step explanation:

Answer:

R is a variable

Step-by-step explanation:

Answer:

(assuming all members of the gang get equal percentages)

For a gang of 8: 12.5% (100/8)

If 2 are killed: 16.67% (100/6), so percentage increases by roughly 4.2% (16.67-12.5)

Percent that belongs to 3: 12.5%*3=37.5%

Percent that belongs to 3 if 2 are killed: 16.67%*3=50.0%

Each robber's share still increases by 4.2% (50%-37.5%=12.5%, 12.5%/3=4.2%)

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Step-by-step explanation:

With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.

We assume that there are monthly repayments and compounding interest on the car loan.

With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.

Car loan = $43,000

Down payment = $0

Fixed Annual Percentage Rate (APR) = 4.9%

Loan term = 5 years

Car Loan Calculator with monthly Repayment:

Payment = $809.49/month

Interest Paid =$5,569.67

Total Paid = $48,569.67

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Answer:

I got you the answer is 540 TRUST ME ;)

Step-by-step explanation:

CAN I PLEASE GET BRAINLIEST I WILL HELP YOU WITH OTHER PROBLEMS

Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Answer:

128

Step-by-step explanation:

Do 10*8=80

8*6=38  48/2=24

80+24+24

104+24

128

The solution as an ordered pair (x, y), of the system of equations on the given graph is: (4, 1).

The solution to a system of equations with a given graph is found by identifying the point or points where the graphs of the equations intersect. These points represent the values that satisfy both equations simultaneously.

The graph given shows that the two lines intersect at the point whose coordinates are (4, 1). Therefore, the solution is (4, 1).

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