Choose the equatio
Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

1. 4x − y = −6
2. x + 4y = 7
3. x − 4y = −9
4. 4x + y = 2n that represents a line that passes through points (−1, 2) and (3, 1).

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

480

Step-by-step explanation:

first convert 60% into a decimal which is 0.6, then 800 x 0.6 which you would get 480.

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Then, multiply this result by 100 to get the percentage. In this case, 120 is 80% of 150.

To use a double number line diagram to find what percent 120 is of 150, you need to create a diagram with two parallel lines. On the top line, mark 150 at one end and 100 at the other.

On the bottom line, mark 120 at one end and leave the other end blank. Then, draw diagonal lines connecting 120 on the bottom line to 150 on the top line and 100 on the top line to the blank end of the bottom line.

This creates two triangles. The height of the triangle with 120 is the percentage you're looking for.

To find this percentage, divide the length of the diagonal line connecting 120 and 150 by the length of the diagonal line connecting 100 and the blank end of the bottom line.

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18.100

If you ask '' How do I solve these questions?'' I say:

We look at the tens digit to find the nearest hundred. If the number is 1,2,3 or 4, the tens and ones digit is reset. If it is 5,6,7,8 or 9, another hundred is added to the hundreds place of the number. The remaining tens and hundreds digits are reset.

Answer:

W=16

L = 2(16)-6 = 32-6 = 26

Step-by-step explanation:

width = W

length = L= 2W-6

P = 2L+2W

84=2(2W-6) + 2W

84= 4W -12 + 2W

84 = 6W -12

84 + 12 = 6W

96 = 6W

W=16

Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

x < -4

Step-by-step explanation:

-3x > 12

Divide both parts with -3.

-3x/-3 > 12/-3

x < -12/3

x < -4

It would be any number bigger then the number 4, so try 5.

The grapefruit should be sliced 1 inch from its center in order that both circular sections have the same radius as the two halves of a perfectly sliced orange with a 4-inch diameter

Since the grapefruit has a diameter of 6 inches and we require its cut cross-section to have a diameter of 4 inches as that of a perfectly sliced orange with a 4-inch diameter.

For the circular section to have a diameter of 4 inches, we cut it with a radius of 4/2 = 2 inches from the top.

Now, since the radius of the grapefruit is 6/2 = 3 inches, and radius of the circular cross-section is 2 inches, the distance from the center of the grapefruit the circular section should be sliced, d = radius of grapefruit - radius of section = 3 inches - 2 inches = 1 inch.

So, the grapefruit should be sliced 1 inch from its center in order that both circular sections have the same radius as the two halves of a perfectly sliced orange with a 4-inch diameter

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Answer:4.5

Step-by-step explanation:

39929292902902

Answer:

52=2.5,and,2

Step-by-step explanation:

Suppose that xandy are the reqd. nos.

Then, by what is given, we have,

(1):x+y=4.5=92,and,(2):xy=5.

From (1),y=92−x.

Subst.ing this y in (2), we have, x(92−x)=5,or,

x(9−2x)=10,i.e.,2x2−9x+10=0.

∴2x2−5x−−−−−−−−−4x+10−−−−−−−=0.

∴x(2x−5)−2(2x−5)=0.

∴(2x−5)(x−2

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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9514 1404 393

Answer:

  n² -n +1

Step-by-step explanation:

First differences of the terms of the sequence are ...

  3-1 = 2

  7-3 = 4

  13-7 = 6

  21-13 = 8

Second differences are ...

  4-2 = 2

  6-4 = 2

  8-6 = 2

In a quadratic sequence the coefficient of the squared term is half of the second difference value. Here, that means the squared term will be (2/2)n² = n².

__

We can find the other terms of the quadratic expression by considering the differences between n² and the actual sequence.

The sequence of n² terms is ...

  1, 4, 9, 16, 25

When we subtract these from the actual sequence, we get ...

  1-1 = 0

  3-4 = -1

  7-9 = -2

  13-16 = -3

  21-25 = -4

That is, the amount subtracted from n² is one less than the term number.

The expression for the n-th term is ...

  an = n² -n +1

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer:

The mean for the probability mass function is 0.64287.

Step-by-step explanation:

The complete question is:

In a batch of ​28 pedometers, 3 are believed to be defective. A​ quality-control engineer randomly selects 6 units to test. Let random variable X = the number of defective units that are among the units tested.

The probability mass function ​f (x) is:

f (x)​ = {(0, 0.47009​), ​(1, 0.42308​), ​(2,​ 0.10073), ​(3, 0.00611​)}

Solution:

The mean of a discrete random variable X with probability mass function f (x) is:

\(\mu=\sum\limits^{n}_{x=1}{x\times f(x)}\)

Compute the mean for the probability mass function above as follows:

\(\mu=\sum\limits^{n}_{x=1}{x\times f(x)}\)

  \(=(0\times 0.47009)+(1\times 0.42308)+(2\times 0.10073)+(3\times 0.00611)\\=0+0.42308+0.20146+0.01833\\=0.64287\)

Thus, the mean for the probability mass function is 0.64287.

This values represents the expected number of defective units for every 6 units tested.

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

4.75x + 14.40y ≥ 700

Step-by-step explanation:

Given:

Plant cost = $4.75

Shrub cost = $14.40

Number of plant = 80

Number of shrub = 25

Total cost = $700

Find:

Inequality

Computation:

Number of plant = x

Number of shrub = y

4.75x + 14.40y ≥ 700

Answer:

false

Step-by-step explanation:

How many gallons of a 10% solution. Would need to be added to a 20% solution to obtain 50 gallons of a 30% solution?

2.How many gallons of milk containing 4% fat is mixed with milk containg 1% fat to obtain a 15 gallon mixture containing 2% fat?

Answer:

these both are sets but what to do with these ....

Step-by-step explanation:

Mark me as brainliest ❤️

Step-by-step explanation:

(p-q)2 (p-q)2

(p)2 -2p.q+(q)2 ( (p)2 -2p.q+ (q)2

(p²-2pq+q² ) (p²-2pq+q²)

cut the both and answer is 0

Based on the predetermined overhead rate, last year's per unit product cost was d.$4.40.

The predetermined overhead rate is the unit cost of overhead allocated to production units based on a cost driver, e.g., direct labor hours.

The overhead applied to the production units is computed by multiplying the predetermined overhead rate and the production units.

Overhead = $357,000

Machine hours 140,000

Direct labor hours 17,000

Predetermined overhead rate = $21 ($357,000/17,000)

Overhead = $355,000

Machine hours 137,000

Direct labor hours 16,500

Applied overhead = $346,500 ($21 x 16,500)

Prime cost $753,500

Total production costs = $1,100,000

Number of units 250,000

Unit cost = $4.40 ($1,100,000/250,000)

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19(360) + 18(400) + 8(480) + 5(600) /  19 + 18 + 8 + 5 this expression

represents the average wages a company pays per employee each week

Correct option is: E

An expression in mathematics is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division, etc.) It is possible to compare expressions to phrases.

Mathematical expressions consist of at least two integers or parameters, at least one arithmetic operation, as well as a statement. Any one of the following mathematical operations can be used i.e multiply, divide, add, or subtract. The form of an expression is as follows: (Math Operator, Number/Variable, Expression)

From the table we get this -

Wages the company pays to employees each week:

= 19(360) + 18(400) + 8(480) + 5(600)

Total number of employees:

= 19 + 18 + 8 + 5

Thus,

the average wages a company pays per employee each week:

= Wages the company pays to employees each week / Total number of employees

= 19(360) + 18(400) + 8(480) + 5(600) /  19 + 18 + 8 + 5

Correct option is: E

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Answer:

The answer is 49.! :)

Step-by-step explanation:

If you look at the table, it shows 3;7. If you look at the 21 in the 2 row, and look under it in the other orange row its 49. So the answer would be 49! :)

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 ≤ - 3x- 3 ≤ 10

x

few notes about inequality

the direction of the inequality doesn't change if you

the direction of the inequality does change

if you

\(step - 1 : difine\)

\(5 \leqslant - 3x - 3 \leqslant 10\)

\(step - 2 : \\ add \: 3 \: in \: each \: sides\)

\(5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3\)

\(8 \leqslant - 3x \leqslant 13\)

\(step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily\)

\( \therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} \)

50,000 por año si se jubila dentro de 25 años tendria 1.250,000

Answer:

500 markers

Step-by-step explanation:

Multiply 5000 by 1/10

\(5000*\frac{1}{10} \\\\= \frac{5000}{10}\\\)

Simplify (dividing the numerator and denominator by 10)

\(\frac{5000}{10} \\= \frac{500}{1}\\= 500\)

I hope this helped! If it did, a brainliest would be much :)

Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

A number line is a diagram of a graduated straight line used to represent real numbers in introductory mathematics.

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

With this in mind, the negative values on the number line would be on the left side, and the positive values are on the right, hence, Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

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Answer:

To mark 1 1/4 and -1 1/4 on the number line, Nancy will need 4 parts each between 1 and 2 and between -1 and -2 on the number line.

Step-by-step explanation: PLATO

Given statement solution is :- It takes approximately 1.122 seconds for the ball to reach its maximum height.

To find the time it takes for the ball to reach its maximum height, we need to determine the vertex of the parabolic function given by the equation h(t) = \(-4.9t^2 + 11t + 7.\)

The vertex of a parabola in the form y = \(ax^2 + bx\) + c is given by the formula t = -b / (2a).

Comparing the equation h(t) = \(-4.9t^2 + 11t + 7\) to the standard form, we have:

a = -4.9

b = 11

Using the formula for the vertex, we can calculate the time it takes to reach the maximum height:

t = -11 / (2 * -4.9)

t = -11 / -9.8

t ≈ 1.122

Therefore, it takes approximately 1.122 seconds for the ball to reach its maximum height.

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Out of the 225 people surveyed, 135 said they shop online, 27 said they always get their order delivered, and 54 said they had loyalty cards.

To calculate the number of people who said they shop online, we can use the percentage given. If 60% of the 225 people surveyed said they prefer to shop online, we can find the number by multiplying the total number of people surveyed by the percentage:

Number of people who shop online = 225 * 0.60

Number of people who shop online = 135

Therefore, 135 people said they shop online.

To find the number of people who have shopping delivered, we need to calculate 20% of the number of people who shop online:

Number of people with shopping delivered = 135 * 0.20

Number of people with shopping delivered = 27

Hence, 27 people said they always get their order delivered.

Now let's calculate the number of people who had loyalty cards. First, we need to find the number of people who said they go in-store to shop. This is 40% of the total surveyed:

Number of people who go in-store to shop = 225 * 0.40

Number of people who go in-store to shop = 90

Out of these 90 people, only 60% said they had loyalty cards:

Number of people with loyalty cards = 90 * 0.60

Number of people with loyalty cards = 54

Therefore, 54 people said they had loyalty cards.

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Answer:

B IS YOUR ANSWER MARK BRAINLEIST PLZ

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

hope it helps