Given that the polynomial x² - 10x + 14 leaves the same remainder when divided by x + 2b orx + 2c where 3b - 2c = 0 and b # c . Find the values of b and c.​

The length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

What are the distance formula and midpoint of a segment?

The distance formula is a mathematical formula that can be used to determine the distance between two points in a coordinate plane. The distance between two points (x1, y1) and (x2, y2) is given by the formula:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

The midpoint of a segment is a point that is exactly in the middle of a line segment. Given the endpoints of the line segment, (x1, y1) and (x2, y2) the coordinates of the midpoint, (x, y) can be calculated using the following formulas:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

The given points are (-8, 6) and (-2, -2).

Given two points A(x1, y1) = (-8, 6) and B(x2, y2) = (-2, -2), we can use the distance formula to find the length of the line segment AB. The distance formula is:

[tex]d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\\\d= \sqrt{((-2) - (-8))^2 + ((-2) - (6))^2}\\\\d=\sqrt{36 + 64}\\\\d=\sqrt{100}\\\\d=10[/tex]

The length of AB would be 10.

To find the coordinates of the midpoint of AB, we can use the midpoint formula:

x = (x1 + x2) / 2

y = (y1 + y2) / 2

Plugging in the values for A and B, we get:

x = (-8 + (-2)) / 2 = -5

y = (6 + (-2)) / 2 = 2

The coordinates of the midpoint of AB are (-5, 2).

Hence, the length of AB would be = 10 units and the midpoint of segment AB would be (-5, 2).

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Answer:

195°

Step-by-step explanation:

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

Let a₁ be the first term and r be the common ratio.

Then the nth term of the geometric sequence is given as,

aₙ = a₁ · (r)ⁿ⁻¹

Every time an insect jump forward, the distance covered is half of the previous jump. If the insect initially jumped 8.4 cm.

The equation is given as,

aₙ = 8.4 · (1/2)ⁿ⁻¹

The distance that he jumped in the sixth jump will be given as,

a₆ = 8.4 · (1/2)⁶⁻¹

a₆ = 8.4 / 64

a₆ = 0.13125

a₆ ≈ 0.13

The distance that he jumped in the sixth jump nearest to two decimal places will be 0.13.

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Answer:

anong ka pong grade?

Step-by-step explanation:

matanong ko Lang!

9514 1404 393

Answer:

  571,725 J

Step-by-step explanation:

KE = 1/2mv²

KE = 1/2(1050 kg)(33 m/s)² = 571,725 J

Answer:    

3

Step-by-step explanation:

Given:

The equation is:

[tex]\dfrac{5}{7}y=6[/tex]

To find:

The solution of the given equation by using the reciprocals.

Solution:

We have,

[tex]\dfrac{5}{7}y=6[/tex]

We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.

The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get

[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]

[tex]y=\dfrac{42}{5}[/tex]

[tex]y=8.4[/tex]

Therefore, the value of y is 8.4.

Answer:

42/5

Step-by-step explanation:

If Christopher measured a line to be 12.2 inches long. If the actual length of the line is 12.1 inches, the percent error of the measurement, to the nearest tenth of a percent is: 0.83%.

Using this formula to find the percent error

Percent error = Measurement - Actual length / Actual length

Let plug in the formula

Percent error = 12.2 - 12.1 / 12.1

Percent error = 0.1 /12.1

Percent error = 0.0083 or 0.83%

Therefore we can conclude that the percent error is 0.83%.

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Answer:51x900/100

Step-by-step explanation:

So you’ll do 51 x 900

And then at the denominator when there is no number it is automatically 1 so the denominator will be 100.

Answer:

m<1=90°

m<2=38°

hope this helps

Answer: b that is too easy

Step-by-step explanation:

The mass of the liquid is  4326 grams.

The liquid has a density of 1.40 g/ml and the volume of the liquid is 3090 ml. Therefore, the mass of the liquid can be calculated as follows:

The density of a liquid is a measure of how heavy it is for the amount measured. The liquid density is defined as its mass per unit volume.

Therefore,]

density = mass / volume

cross multiply

mass = density × volume

density = 1.40 g/ml

volume = 3090

Therefore,

mass of the liquid = 1.40 × 3090

mass of the liquid = 4326 grams.

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Answer:

Number of students in district = 3,055 students

Step-by-step explanation:

Given:

Ratio [Teachers to students] = 2 : 47

Total number of teachers in district = 130

Find:

Number of students in district

Computation:

Number of students in district = Total number of teachers in district[47/2]

Number of students in district = 130[47/2]

Number of students in district = 65[47]

Number of students in district = 3,055 students

Answer:

Options 3, 4, and 5

Step-by-step explanation:

just count the x's.

If it equals 8, then its correct

Answer:

4:3 that's the answer

for the question

Answer:

4:3 is the correct answer

Step-by-step explanation:

The total students that took the exam is 16 but the students that passed are only 12 the ratio that represent it is remember ratio means division so is 16/12 which one / 4 will give you for over 3 as a correct answer

Answer: To reflect a point across the x-axis, you need to change the sign of the y-coordinate. Therefore, the point (-7.2, 2) reflected across the x-axis becomes (-7.2, -2).

To reflect a point across the y-axis, you need to change the sign of the x-coordinate. Therefore, the point (-7.2, -2) reflected across the y-axis becomes (7.2, -2).

The resulting shape is a rectangle with one corner at (-7.2, 2) and the opposite corner at (7.2, -2).

Step-by-step explanation:

Answer:

n=15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

First off we divide both sides by [tex]\frac{1}{5}[/tex] and get:

[tex]\frac{1}{5}[/tex]n÷ [tex]\frac{1}{5}[/tex]=3÷ [tex]\frac{1}{5}[/tex]

n=3×5

n=15

The equation connecting y and x is y = 63/x and the value of y when x =21 is 3

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

Variation = inverse variation

y = 7, x = 9

An inverse variation is represented as

k = xy

Where k is the constant of proportion

Substitute the known values in the above equation, so, we have the following representation

k = 7 * 9

Evaluate

k = 63

So, we have the following representation

xy = 63

Make y the subject

y = 63/x

Substitute the known values in the above equation, so, we have the following representation

y = 63/21

Evaluate

y = 3

Hence, the solution is 3

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The product of the given numbers can be represented in a scientific notation form as = 6418 × 10^19 (approximately)

Multiplication can be defined as the repeated addition of a given value with the purpose of arriving to an expected value.

The multiplication of two given numbers is the same thing as the products of the given number and it's represented by the sign (X)

The product of 6,789,694,976 x 9,452,569,132 = 6418 × 10^19

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The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)

Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.

The equation that is used to represent a proportional relationship is:

y = kx

Where:

k = constant of proportionality

Value of k when x is 1:

3 = k

Value of k when x is 2:

6 = 2k

k = 6 / 2

k = 3

Value of k when x is 3:

9 = 3k

k = 9 / 3

k = 3

Value of k when x is 4:

12 = 4k

k = 12 / 4

k = 3

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Answer:

Option E) 1400

Step-by-step explanation:

Based on the given conditions, formulate: 70‰ x 2000

Convert the percentage to decimals: 0.7 x 2000

Calculate the product or quotient: 1400

Hence , the answer is 1400

Step-by-step explanation:

the answer is GH, the can be the only answer

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

A stew recipe uses 3 teaspoons of salt for every 4 cups of water.

There is a ratio issue here.

As X is to three, 3 is to 4.

3 : 4 :: X : 3

To eliminate the fractions, multiply each integer in the ratio by 12.

9 : 12 :: 9X : 12

This is a portion of what is

9 / 12 = 9X / 12

to obtain, cross-multiply.

9 / 12 = 3 teaspoons of salt,

Check: 3 cup of flour yields 3 cups, which is a 4x increase.

The amount of salt in 9/12 tablespoons is four times that of 3 tablespoons.

The amount of salt in 3/4 tablespoons is four times that of 3 tablespoons.

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Answer: 12

Step-by-step explanation: Because of the ratio we know that half of the screens will be showing action films. Half of 24 is 12, so 12 screens will be playing action.

Answer:

16 times

Step-by-step explanation:

13 + 4 +8 = 25 total marbles

(4 is total number of blue marbles, 25 is complete total of marbles)

4/25 times =   ?/100 times

Because 25 times 4 is equal to 100, you then multiply 4 by 4 to get 16

16/100 times

Answer:

[tex](d)\ \$13.34[/tex]

Step-by-step explanation:

Given

[tex]E = 1.89x + 2.89y[/tex] -- Objective function

Constraints:

[tex]2x + y > 10[/tex]

[tex]x + 2y > 8[/tex]

[tex]x,y>0[/tex]

Required

Minimum value of E

To do this, we apply graphical method

See attachment for plots of [tex]2x + y > 10[/tex] and [tex]x + 2y > 8[/tex]

From the attached plot, the point that satisfy [tex]x,y>0[/tex] is:

[tex](x,y) = (4,2)[/tex]

So, we have:

[tex]E = 1.89x + 2.89y[/tex]

This gives:

[tex]E =1.89 * 4 + 2.89 * 2[/tex]

[tex]E =7.56 + 5.78[/tex]

[tex]E =13.34[/tex]