Given the points A(-1, 2) and B(7,6), find the coordinates of the point P on the
directed line segment that partitions in the ratio 1:3. Plot P along with
segment AB
ot

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

The equation represents the image of the line y = 3x +1 is y' = 3(x - 3) +1.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

The transformation that translates function y = f(x) by h units right and k units up is

y' = f(x -h) +k

We have y= 3x+ 1

So, After translating 3 units to x axis the function will become

y' = 3(x - 3) +1

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Answer:

538 x 46 = 24748

estimate 540 x 45 = 24300

the ans is reasonable

Step-by-step explanation:

Answer:

lol the answer is the second one

The area of a sector of a circumference is given by the following formula:

Where r is the radius of the circumference, and θ is the angle of the sector in radians.

The radius is already known: 15cm.

We need to estimate the angle of the shaded region. The shaded region and the sector whose angle is 72° form together a 180° angle. (This is according to the figure. That is not said in an explicit way but we will need to assume that since there is not enough information to calculate the area if it is otherwise.)

Then, the angle of the shaded area, plus 72° is 180°:

Now, before applying the formula we need to express the angle in radians. Recalling that 180° is equal to π radians:

Now, we have the angle in radians. We can use the equation:

Answer:

There are 220 different ways to arrange the acts.

Step-by-step explanation:

The order in which the acts are arranged is not important, so we use the combinations formula to solve this question.

Combinations Formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many different ways can the program manager arrange 3 different acts from the original 12

Three acts from a set of 12. So

\(C_{12,3} = \frac{12!}{3!(12-9)!} = 220\)

There are 220 different ways to arrange the acts.

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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\(\\ \ast\sf\hookrightarrow AD=DB\)

\(\\ \ast\sf\hookrightarrow 4x-1=9x-21\)

\(\\ \ast\sf\hookrightarrow 9x-4x=-1+21\)

\(\\ \ast\sf\hookrightarrow 5x=20\)

\(\\ \ast\sf\hookrightarrow x=\dfrac{20}{5}\)

\(\\ \ast\sf\hookrightarrow x=4\)

Answer:

$210

Step-by-step explanation:

do 84/4 to find out money per day which is 21. 21 x 10 = 210

therefore 210 is the answer

Answer: 1st is positive 2nd is negative 3rd and 4th are undefined or 0

Step-by-step explanation:

Answer:

1.positive

2.undefine

3.positive

4.negative

The value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

The value of angle x and angle y is calculated by applying principle of angles formed by parallel lines as follows;

The value of angle adjacent x = 102⁰

The value of angle x   is calculated as;

x = 180 - 102 ( sum of angles on a straight line)

x = 78⁰

The value of angle y is calculated as follows;

y = 115⁰ (corresponding angles are equal)

Thus, the value of angle x and angle y is determined as 78⁰ and 115⁰ respectively.

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Answer:

how I help u no cheeting there

The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: The measure of the frame is 8.5 inches and 11 inches

a) if the frame is 4 papers long then we  have the length of the frame as

11×4=44 inches (since he lays the paper along the edge of frame)

We know 1 inch= 0.0833 foot

Thus      44 inches= 3.66667 foot

b) Again if he lays the paper along the short edge than the width of the frame is 3×8.5=25.5 inches

∴25.5 inches= 2.125 feet

Hence, The measure of the frame in feet of the length and width are 3.667 feet and 2.125 feet respectively.

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Answer:

Triangle sum of equation: x° + 109° = 180°

value of x = 71°

Answer:

51.35

Step-by-step explanation:

The decimal form of 79% is 0.79. We multiply 0.79 with 65 to get the result.

0.79*65=51.35

Answer:

Step-by-step explanation:

Given:

Find (f-g)(6):

f(x)=x^2-14

g(x)=9-x

Find g(6)

\(\\ \sf\longmapsto g(6)=9-6=3\)

Now

\(\\ \sf\longmapsto (f-g)(x)=f(g(x))\)

\(\\ \sf\longmapsto f(g(6))\)

\(\\ \sf\longmapsto f(3)\)

\(\\ \sf\longmapsto 3^2-14\)

\(\\ \sf\longmapsto 9-14\)

\(\\ \sf\longmapsto -5\)

Answer:

A) 70%

B) 95%

Step-by-step explanation:

A) $200 to $340

Increase = $340 - $200 = $140

Percentage of increase = $140/$200 * 100% = 70%

B) Additional $50

Increase = $140 + $50 = $190

Percentage of increase = $190/$200 * 100% = 95%

3 x 2x = 6x

3 x 7 = 21

6x+21

Answer:

60

Step-by-step explanation:

The constructions which must be completed in order to construct the inscribed circle to triangle QRS is; Choice A; The perpendicular bisectors of QR.

It follows from the task content that;

On this note, it follows that the first construction in order to construct the inscribed circle to triangle QRS is; The perpendicular bisectors of QR.

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There will be 5 boxes in the tenth row.

To represent the arithmetic sequence of boxes in each row, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1) * d

Where:

a_n represents the nth term of the sequence,

a_1 represents the first term of the sequence,

n represents the position of the term in the sequence,

d represents the common difference between consecutive terms.

In this case, the first row has 23 boxes, so a_1 = 23. Additionally, each row has 2 fewer boxes than the row below, so the common difference is d = -2.

To find the number of boxes in the tenth row (n = 10), we substitute these values into the formula:

a_10 = 23 + (10 - 1) * (-2)

= 23 + 9 * (-2)

= 23 - 18

= 5

Therefore, the eleventh row will include 5 boxes.

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Answer: $32.74

Is your answer

Glad I could help!

Step-by-step explanation:

The value of p is 15

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day

Therefore everyday he reads 58+p pages per day

If he reads for 10 days and he reads a total 1408 pages then we have

In a week there is one Saturday

thus

9p+58=1408

9p=1350

p=15

Thus on the other days p is equal to 15 pages per day.

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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.

When rotated 90 degrees, counterclockwise direction the new coordinates will result in the attached image.

The old coordinate where were rotated are:

A(-5,8)

B (-1, 7)

C(-3, 5)

D(-4, 2)

To rotate a point counterclockwise about the origin, we switch the x and y coordinates and change the sign of the new x  -coordinate.

The new coordinates are after 90 degrees, counterclockwise  are

A' = (-8, -5)

B' = (-7, -1)

C' = (-5, -3)

D' = (-2, -4)

See attached image.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

The probability that the randomly selected student  will chose running  can be written as  12/57.

The concept used is the probability which is the likelyhood of an event to take place.

Total number of students was given as  57

Total number of boys  that was given was  26

Total number of girls  can be written as 57-26=31`

Number of Girls that chose football  can be written as 15

Number of boys that chose football  can be wriitten as  9

Number of students that chose Tennis can be written as  18

Now, number of students that chose running will be;

Number of students that chose running = 57 - (24 + 18) = 15

Therefopre, probability that a randomly selected student chose running = 15/57

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Answer:

A floor plan diagram would be useful for Linda to express her ideas to her client.