AB is formed by A(-10, 3) and B(2.7). If line l is the perpendicular bisector of

AB

write the equation ofl in slope-intercept form.

Answer:

E) 150°

Step-by-step explanation:

angle adjacent to 70° angle is 110°

the angle supplemental to 'x' must be 180-(40+110) or 30°

this means 'x' must be 150°

We can say that there are no four positive integers a, b, c, and d such that any three of them have a common divisor greater than 1, although only +1 divide all four of them.

Let's say that the four positive integers are a, b, c and d.

As per the given statement, although only +1 divide all four of them. Therefore, we can say that the four numbers are co-prime to each other. That is, the only common divisor they have is +1.

So, let us now assume that any three of the given numbers have a common divisor greater than 1. Let us suppose that the numbers a, b, c have a common divisor greater than 1. Then we can write the numbers as follows:

a = xk1

b = xk2

c = xk3

d = p

where x is the greatest common divisor of a, b, c and p is a prime number, and k1, k2, and k3 are positive integers. Since a, b, and c have a common divisor, we can say that x > 1.

Hence, the fourth number d can be written as follows:

d = xy

where y is an integer, not equal to k1, k2, or k3. We now need to prove that d is co-prime to a, b, and c. Since x is the greatest common divisor of a, b, and c, x cannot divide d.

Hence, the only common divisor that d shares with a, b, and c is +1.

Therefore, we can say that there are no four positive integers a, b, c, and d such that any three of them have a common divisor greater than 1, although only +1 divide all four of them.

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Aaron can arrange the 13 songs on the CD in 6,227,020,800 different ways.

To determine the number of different ways Aaron can arrange the 13 songs on the compact disk (CD), we need to find the total number of permutations for the songs. Since there are 13 songs, we can calculate this using the formula:

Permutations = 13!

Step-by-step explanation:

1. Calculate the factorial of 13 (13!).
2. The factorial function is the product of all positive integers up to that number (e.g., 5! = 5 x 4 x 3 x 2 x 1).

So, 13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6,227,020,800

Therefore, Aaron can arrange the 13 songs on the CD in 6,227,020,800 different ways.

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Answer:

The answer is C

Step-by-step explanation:

the lowest point of the box plot is at 1  and the highest is at 19, so by that it can't be A.

The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.

The conversion rate will affect her budget as C. Kari has almost exactly enough left in her budget to see Genoa.

From the information given, it should be noted that a trip to Genoa will cost her €60.85.

This will be converted to dollars which will be:

= 60.85/0.6859

= 88.72

Therefore, out of the $585 budget, only $88.72 is used.

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Answer:

A integer is number that can be written without a fractional or decimal component

Step-by-step explanation:

Answer:

An integer is a whole number. It doesn't matter whether it's positive or negative as long as its a whole number

(sorry if this doesn't make sense but I hope it helped)

Answer:

Step-by-step explanation:

1). segment AB ≅ segment CD    1). Given

2). segment FA ≅ segment EC    2). Given

3). ΔABF ≅ Δ DCE          3). HL

4). segment BF ≅ segment DE   4). Corresponding parts of congruent Δs

5). segment EF ≅ segment EF    5). Reflexive property

6). ΔDAF ≅ ΔBCE               6). SAS postulate

7). segment AD ≅ segment CB     6). corresponding sides of congruent Δs

I used word segment instead of dash above the letters.

Answer:

Correct!

Step-by-step explanation:

Good Job

The North Campus had 120 students and the South Campus had 1080 students before the merger, as 10 percentage and 90% of the 1200 students at the Central Campus were from the North and South Campuses respectively.

The first step in solving this problem is to calculate the total number of students at both campuses before the merger. We know that the North Campus had 10% of its students as women and that the South Campus had 50% of its students as women. This means that the North Campus had 10% of its students as women, and the South Campus had 90% of its students as men. By multiplying these percentages by the total number of students at the Central Campus (1200), we can determine that the North Campus had a total of 120 students (10% of 1200) and the South Campus had a total of 1080 students (90% of 1200). Thus, the North Campus had 120 students and the South Campus had 1080 students before the merger.

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The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

Let the actual width of the picnic area be x yards.

According to the given question.

Laura measured a picnic area near the river and made a scale drawing.

The scale she used was 3 inches : 2 yards.

⇒ The scale is 3 inches : 2 yards

The width of the picnic area in the drawing is 90 inches.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by

3inches : 2 yards = 90inches : x

⇒ 3x = 180

⇒ x = 60yards

The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

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Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Step-by-step explanation

The area of a triangle is found by multiplying the height and base of a triangle then dividing it by two since you can use that same formula to find a rectangle but not dividing. A rectangle you multiply the base and height while a triangle will equal half the area of that rectangle

In the triangle, The measure of side n is √ 108

It belongs to the basic geometric forms. A triangle having vertices A, B, and C is known as triangle ABC. Any three locations in Euclidean geometry that are not collinear result in a separate triangle and a distinct plane.

Identical sides have the same ratio since all of the triangles in the example are comparable.

Short side/long side:

n/6 = 18/n

n² = 6*18

n² = 108

n = √ 108

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Answer:

the answer is 0

Step-by-step explanation:

because anything multiply by 0 is 0.

Can make me the brainliests answerer?Please

Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

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Answer:

Step-by-step explanation:

Remark

The general formula is

Volume per fish = volume of water / number of fish

Givens

40 L  and 5 fish

100 L and 12 fish

180 L and 23 fish

Solution

Tank A = 40 L / 5 fish = 8 L / fish

Tank B = 100 L /12 fish = 8.3 L / fish

Tank C = 180 L / 23 fish = 7.83L / fish

Answer

From Least to greatest = C A B

the predict() function takes as input a linear regression model and a set of predictor variables (in this case, the students' GPA) and returns a set of predicted response values (in this case, the number of hours exercised per week) based on the fitted model.

The specific value that the predict() function would predict for each student's number of hours exercised per week would depend on the coefficients and intercept of the linear regression model that was fitted to the data. These coefficients reflect the relationship between the predictor variable (GPA) and the response variable (number of hours exercised per week) and determine how changes in the predictor variable are associated with changes in the response variable.

The intercept represents the predicted value of the response variable when the predictor variable is zero. Therefore, the predict() function would use these coefficients and intercept to predict the number of hours exercised per week for each student based on their GPA.

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To solve this problem, we need to use the formula for the nth term of an arithmetic sequence:
an = a1 + (n-1)d  where a1 is the first term, d is the common difference, and n is the term number.  This means that the first term is 118, the common difference is -6, and each subsequent term is found by subtracting 6 from the previous term.

We know that the 4th term is 100, so we can substitute this into the formula:
a4 = a1 + (4-1)d
100 = a1 + 3d

Similarly, we know that the 13th term is 46:
a13 = a1 + (13-1)d
46 = a1 + 12d
Now we have two equations with two unknowns (a1 and d), which we can solve by elimination or substitution. I will use elimination:
100 = a1 + 3d
-46 = -a1 - 12d
------
54 = -9d
d = -6
Now we can substitute d back into one of the equations to solve for a1:
100 = a1 + 3(-6)
a1 = 118
Therefore, the expression for the general term of the arithmetic sequence is:
an = 118 - 6(n-1) or  an = 124 - 6n

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Answer:

Round and round x2

Step-by-step explanation:

like a song hope this helps.

On the number line, the point P represents the number \(5.7\times10^{-3}\).

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

There are a total of 11 points on the number line, and the distance between each point is the same.

We can use this fact to find the number represented by point P.

The distance between the 1st point and the 11th point is -

\(6\times10^{-3} - 5\times10^{-3} = 1\times10^{-3}\)

Since there are 11 points in total, the distance between each point is \((1\times10^{-3}) / 10 = 0.1\times10^{-3}\).

Therefore, the distance between the 1st point and the 8th point is 7 times the distance between each point -

distance = \(7 \times (0.1\times10{^-3}) = 0.7\times10^{-3}\)

To find the number represented by point P, we add this distance to the value of the 1st point -

\(P = 5\times10^{-3} + 0.7\times10{^-3}\)

\(P = 5.7\times10^{-3}\)

Therefore, the number represented by point P is \(5.7\times10^{-3}\).

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Answer:

b = \(\frac{2A}{h}\)

Step-by-step explanation:

Given

A = \(\frac{1}{2}\) bh

Multiply both sides by 2 to clear the fraction

2A = bh ( divide both sides by h )

\(\frac{2A}{h}\) = b

Answer:

There is no question to answer.

Step-by-step explanation:

Answer:

Where is the question ?

To factor the quadratic expression 3x^2 - x - 2, we need to find two binomials that, when multiplied, give us the original expression.

The factored form of the quadratic expression can be determined by breaking down the middle term (-x) into two terms whose coefficients multiply to give the product of the coefficient of the squared term (3) and the constant term (-2). In this case, the product is -6. We are looking for two numbers whose sum is equal to -1 (the coefficient of the middle term) and whose product is equal to -6.

The numbers that satisfy these conditions are -3 and 2. We can now rewrite the expression using these numbers:

3x^2 - x - 2 = 3x^2 - 3x + 2x - 2

Next, we group the terms and factor by grouping:

(3x^2 - 3x) + (2x - 2) = 3x(x - 1) + 2(x - 1)

Now, we can see that we have a common binomial factor of (x - 1) in both terms. We can factor this out:

3x(x - 1) + 2(x - 1) = (3x + 2)(x - 1)

Therefore, the factored form of the quadratic expression 3x^2 - x - 2 is (3x + 2)(x - 1).

Answer:

45

Step-by-step explanation:

I used Toa to figure it out. First I did Tan(32) times 13 and got 45.

\(\\ \sf\longmapsto 2a^2-2ab-3b^2-9\)

\(\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9\)

\(\\ \sf\longmapsto 2(9)-12-3(4)-9\)

\(\\ \sf\longmapsto 18-12-12-9\)

\(\\ \sf\longmapsto 6-18\)

\(\\ \sf\longmapsto -12\)

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math

The mean weight of the cartridges is 152.65 grains, rounded to two decimal places.

To calculate the mean of the given sample of cartridge weights, we need to find the sum of all the weights and then divide that sum by the total number of weights.

Sum of weights = 152.4 + 152.1 + 153.0 + 152.4 + 152.5 + 153.2 + 153.0 + 154.0 + 151.6 + 153.3

Sum of weights = 1526.5

Total number of weights = 10

Mean = Sum of weights / Total number of weights

Mean = 1526.5 / 10

Mean = 152.65

Rounding the mean to two decimal places, we get 152.65.

Therefore, the mean weight of the given sample of cartridges is 152.65 grains.

The mean is a measure of central tendency and represents the average weight of the cartridges in the sample. It is calculated by summing up all the weights and dividing by the total number of weights.

In this case, the mean weight of the cartridges is 152.65 grains, rounded to two decimal places. This means that, on average, the cartridges in the sample weigh approximately 152.65 grains.

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To write the expression with a rationalized denominator, you need to eliminate the square root from the denominator. Here's the expression you provided: (3√2) / (3√4). Let's rationalize the denominator step by step:

1. Evaluate the square root in the denominator: √4 = 2.
  So, the expression becomes: (3√2) / (3 * 2).

2. Simplify the denominator: 3 * 2 = 6.
  The expression now is: (3√2) / 6.

3. Since there is no square root in the denominator, it is already rationalized.

So, the expression with a rationalized denominator is (3√2) / 6.

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Polynomials are algebraic expressions consisting of terms that include real numbers, variables, and positive integer exponents. Each term in a polynomial has a variable raised to a non-negative integer power, and the coefficient of each term is a real number. Polynomials are classified by the degree of their highest power. If two or more terms in a polynomial have the same variable raised to the same power, they can be combined into a single term.

1. -x² + x - x² + 1

Combine like terms: -x² + x - x² + 1 = -2x² + x + 1

This polynomial has degree 2 because the highest power of the variable is 2.

2. x² + x + 2x³ - x

Rearrange terms: 2x³ + x² + x - x = 2x³ + x²

This polynomial has degree 3 because the highest power of the variable is 3.

3. 4x + x + x - 2

Combine like terms: 4x + x + x - 2 = 6x - 2

This polynomial has degree 1 because the highest power of the variable is 1.

4. 3x² + 4 - 3x² - 1

Combine like terms: 3x² - 3x² + 4 - 1 = 3

This polynomial has degree 0 because there is no variable term.

Therefore, the four given polynomials have degrees 2, 3, 1, and 0, respectively.

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(x1 , y1) = (-4, -2)

(x2 , y2) = (5 , -2)

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

How to Translate a Triangle

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axis.

Given data

(x1 , y1) = (-4, -2)

(x2 , y2) = (5 , -2)

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