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The point divides the line in the respective ratios. The correct matches are done.

When a point lies on the line such that is gets divided into the ratio is said to be the division of line.

The coordinates of point can be find out by the following formula.

x = mx₂ +nx₁ / m+n   and y = my₂ +ny₁ / m+n

For, Point C(-3.6, -3.4) divides in the ratio 2 : 3.

Substituting the values, we get

-3.6 =  2x₂ +3x₁ / 2+3                 and           -3.4 = 2y₂ +3y₁ / 2+3

 2x₂ +3x₁ = -18                           and               2y₂ +3y₁ = -17

The above equations are satisfied by the points A(-2,-1) and B (-6,-7)

For, Point C(4, 1.6) divides in the ratio 3 : 2.

Substituting the values, we get

4 =  3x₂ +2x₁ / 2+3                     and           1.6 = 3y₂ +2y₁ / 2+3

3x₂ +2x₁ = 20                          and               3y₂ +2y₁ = 8

The above equations are not satisfied by any of the points.

For, Point C(3.5, -2.5) divides in the ratio 1 : 7.

Substituting the values, we get

3.5 =  1x₂ +7x₁ / 1+7                     and           1.6 = y₂ +7y₁ /1+7  

x₂ +7x₁ = 28                          and                y₂ +7y₁ = -20

The above equations are not satisfied by any of the points.

For, Point C(8, 9) divides in the ratio 5 : 3.

Substituting the values, we get

8 =  5x₂ +3x₁ /5+3                    and           9 = 5y₂ +3y₁ /5+3  

 5x₂ +3x₁ =64                          and                5y₂ +3y₁ = 72

The above equations are satisfied by the points A (3,4) and B(11, 12).

For, Point C(-2, 5) divides in the ratio 2 : 6.

Substituting the values, we get

-2 =  2x₂ +6x₁ /2+6                    and           5 = 2y₂ +6y₁ /2+6  

 2x₂ +6x₁  =-16                          and                2y₂ +6y₁ = 40

The above equations are satisfied by the points A (-5,2) and B(7,14).

For, Point C(0,1) divides in the ratio 4 : 7.

Substituting the values, we get

0 =  4x₂ +7x₁ /4+7                   and           1= 4y₂ +7y₁ /4+7  

 4x₂ +7x₁  = 0                      and                4y₂ +7y₁ = 11

The above equations are satisfied by the points A (4,-3) and B(-7,8).

Thus, all the equations are joined with their satisfying points.

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The correct option for the synthetic division is A. 2x³ + 3x² + 9x + 7

Write down the first coefficient without changes and multiply the entry in the left part of the table by the last entry in the result.

Then, add the obtained result to the next coefficient of the dividend, and write the sum. All the coefficients are the coefficients of the quotient, and the last coefficient is the remainder.

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Answer:

x = 4

Step-by-step explanation:

Answer with a step-by-step explanation:

Let us write answers to the questions using the given Venn diagram

1) 4 students

2) 3 students

3) 3 students

4) Face book ( 7 students are using Face book while only 6 students are using the other social media platform)

- More explanation is attached to the picture -

By applying the law of sines, the length of side PQ is equal to 7.1 units.

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

Mathematically, the law of sines is given by this equation:

[tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

Substituting the given parameters into the formula, we have;

[tex]\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691[/tex]

PQ = 7.1 units.

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Answer:

Below.

Step-by-step explanation:

I assume you are referring to a system of equations.

Example:

2x - y =  4

x + y =  5

If we add these 2 equations then the y is eliminated because -y + y = 0:-

3x + 0 = 9

x = 3

Now we plug x = 3 into the first equation to find y:

2(3) - y = 4

-y = 4 - 6 = -2

y = 2.

If we cannot eliminate one of the variables we multiply one of the equations so that one of the variables so that it can be eliminated.

For example:

2x - 3y = 5       A

x  + y  =  6        B

We multiply the second equation B by 3 so that when we add -3y + 3y gets eliminated:

3x + 3y = 18

- so adding this to equation A

5x + 0 = 23.

In some cases we may have to multiply both equations by different values to get terms that can be eliminated.

Answer:

.33333333...   45/100

Step-by-step explanation:

1/3 as a reoccurring decimal would be 0.3333333......

.45 as a fraction is simply 45/100

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Answer:

Step-by-step explanation:

According to definition, angles 4 and 2 are exterior angles.

The matching answer choices are E and F

Fractions are written as a ratio of two integers. The total number of cars owned is 154000 cars

Fractions are written as a ratio of two integers.

Given the following

Total cars = 112,420 cars

If Seventy three percent of a town’s population own cars, then;

73% of x = 112,420

where x is the total population

0.73x = 112,420

x = 112,420/0.73

x = 154000

Hence the total number of cars owned is 154000 cars

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Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula   2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

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I'm on my road to genius rank

Answer: x = -1 , y = -1

Answer:

108 square units

3 x 4 = 12

3 x 4 = 12

6 x 3 = 18

6 x 3 = 18

6 x 4 = 24

6 x 4 = 24

24(2) + 18(2) + 12(2) = 108 square units

Therefore, the surface area of the rectangular solid below using its net is 108 square units

Answer:

x=7

Step-by-step explanation:

95+65=160

There is 360 degrees total in a quadrilateral

360-160=200

(15x-5)+100=200

15x+95=200

Subtract 95 from both sides

15x=105

x=7

Answer:

y = -mx - 13.

Step-by-step explanation:

21-y-mx=34

Add y to both sides

21 - mx = 34 + y

Subtract 34 from both sides

-13 - mx = y

Rearrange:

y = -mx - 13.

Answer:

scout is a group of noble youth

Answer:

Step-by-step explanation:

The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.

__

Sorted into increasing order, the numbers are ...

  43, 57, 67, 87, 98

The total of these values is

  43 +57 +67 +87 +98 = 352

The mean is this sum divided by the number of contributors:

  mean = 352/5 = 70.4

__

The median of the 5 numbers is the middle (3rd) one:

  median = 67

__

The mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.

  mode: none

__

The range is the difference between the highest and lowest values:

  range = 98 -43

  range = 55

Answer:

3rd one

Step-by-step explanation:

it is the only one with a function and a straight line

The residual value will be equal to -1.

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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Answer:

96

Step-by-step explanation:

Each day is 24 hours.

2 days = 2 × 24 hours = 48 hours

30-minute slot = 0.5-hour slot

48 hours / 0.5 hours = 96

Answer: 96

Answer:

96

Step-by-step explanation:

Answer:

Step-by-step explanation:

area off reg 1

10 x 25 = 250

area of reg 2

45 x 13 = 585

total surface area

585 + 250 = 835ft^2

835ft^2 x $0.55 = $459.25

Based on the subtraction property of equality: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

In order to balance both sides of an equation, we can subtract same value from both sides by subtracting a value from both sides based on the subtraction property of equality. Same applies to other operations.

To balance both sides of the equation, 100 needs to be subtracted from the equation given. This means Jen was correct.

If she also divide both sides by -1/2, she would get same result as when she multiplies both sides by -2.

The correct description of the accuracy of her work is: C. Correct. Jen could have also subtracted 100 from both sides and then divide both sides by -1/2.

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Answer:

circle graph and bar graph

Step-by-step explanation:

they visualize because they are not simply just words, they make colorful graphs

[tex] \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24[/tex]

Answer:

3

Step-by-step explanation:

A simple way to solve this is by substituting, we start with trying 1 for x, 2+6=8, and 1+9=10. Because the two values are different, that means 1 is the incorrect value. We can try 2, 4+6=10, and 2+9=11, once again inequivalent. We finally try 3, and 6+6=12 and 3+9=12 meaning x must be 3

Answer:

The answer would be 14 cm

[tex]V = \frac{4pi(1.5)^3}{3}[/tex]

[tex]4.5pi = 14.3[/tex]

(pi = π)

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Answer:

14 cm

Step-by-step explanation:

THE SIMPLE ANSWER

Answer:

hope you can understand

Using the probability concept, it is found that the correct statements are given as follows:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are eight letters, two of which are vowels and six of which are consonants.

Hence:

E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.

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Answer:

A, C, E

Step-by-step explanation:

The correct answers are A C E

or if you want to be more specific

A: The number of possible outcomes is 8.

C: P(vowel)=1/4

E: Choosing one letter at random is a simple event.

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Degree of f(x)=3

Degree of g(x)=2

Degree of h(x)=2

Degree of f(g(h(x)))

Option D

Answer:

d) 12

Step-by-step explanation:

Given functions:

[tex]f(x)=6x^3+5x[/tex]

[tex]g(x)=3x^2+5[/tex]

[tex]h(x)=9x^2-8[/tex]

As we are only interested in the degrees of the function, we can eliminate the coefficients of each variable and the constants:

Therefore:

[tex]\begin{aligned}g[h(x)]& =(x^2)^2\\& =x^4\end{aligned}[/tex]

[tex]\begin{aligned}f[g[h(x)]] & = (x^4)^3+x^4\\& = x^{12}+x^4\end{aligned}[/tex]

Therefore, the degree of f[g[h(x)]] is 12

Step-by-step explanation:

due to the principle of identical angles on parallel lines when intersected by an inclined line, x is equal to the angle at B on the other side of AB.

in other words it is the supplementary angle to 150° at B.

that means together they are 180°. that is because the sum of all angles around a single point on one side of a line is 180° (because that line can be seen as the diameter of a circle, the point as the center of that circle, and one side of the diameter is a half-circle, which represents 180°).

so,

x = 180 - 150 = 30°

now, for the same principle,

x + y = 70

y = 70 - x = 70 - 30 = 40°