Find the equation perpendicular to y=-2x+10 through (10,7)

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Explanation:

Draw a rectangle and one diagonal. Two identical triangles form. Focus on one of those triangles.

We have a right triangle with leg a = 27 and leg b = unknown. These represent the dimensions of the rectangular TV screen.

The hypotenuse is the diagonal which is c = 45.

Let's use the pythagorean theorem to find b.

\(a^2 + b^2 = c^2\\\\27^2 + b^2 = 45^2\\\\729 + b^2 = 2025\\\\b^2 = 2025 - 729\\\\b^2 = 1296\\\\b = \sqrt{1296}\\\\b = 36\\\\\)

This screen is 27 inches by 36 inches.

area = length*width = 36*27 = 972 square inches

Answer:

Step-by-step explanation:

Given the polynomial f(x)  divided by  x-4

To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;

x- 4 = 0

Add 4 to both sides

x - 4 + 4 =  0+4

x = 4

Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false

Answer:

well i mean ur right who said were friends

Step-by-step explanation:

Answer:

The median is marked at 161cm instead of 162cm.

The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.

Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.

Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

For the given situation,

Least height - 142 cm

Lower quartile - 154 cm

Inter quartile range - 17 cm

Median - 162 cm

Range - 40 cm

The higher quartile can be calculated as

Higher quartile = Lower quartile + Inter quartile range

⇒ Higher quartile = \(154+17\)

⇒ Higher quartile = \(171\)

From the box plot shown, the values of median and higher quartile are drawn wrong.

In diagram,

Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.

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Answer:

Let us set up a ratio to find the relationship between side lengths of the two triangles.

25:10

5:2

We can divide both sides by two, but there's no need as the smaller triangle has multiples of two.

So, if XZ is 6, let's place it into the ratio and find what "x" is.

5(3) : 2(3)

15 : 6

x = 15

Answer:

1.5 goes in between the 0 and the first line (meaning 1) and 0.5 goes in between the left of the zero and the line before the zero

Answer:

The answer for a is 100 and b is still 200

because 200-200 =0 the when you multiple it by 200 you get 200 still and same applies to a

Input data

1/3 earned A in math

27 students

Procedure

How many students earned A math

27 * 1/3 = 9

9 students earned an A in math

Answer:

Step-by-step explanation:

y = 3x is an example of such an equation.

Answer:

D for Khan Academy. :p

Hope it helps :)

Step-by-step explanation:

Answer:

\(6b^3+3b^2+6b\)

Step-by-step explanation:

\(\left(4b^3+2b^2\right)+\left(6b+b^2+2b^3\right)\)

\(4b^3+2b^2+6b+b^2+2b^3\)

\(\mathrm{Group\:like\:terms}\)

\(4b^3+2b^3+2b^2+b^2+6b\)

\(\mathrm{Add\:similar\:elements:}\:4b^3+2b^3=6b^3\)

\(6b^3+2b^2+b^2+6b\)

\(\mathrm{Add\:similar\:elements:}\:2b^2+b^2=3b^2\)

\(6b^3+3b^2+6b\)

Answer:

Renee would be correct

Step-by-step explanation:

4 x 800 < 8 x 4000

Answer:

Renee is correct

Step-by-step explanation:

When you take 4 times 800 you get 3,200. And when you take 8 times 4,000 you get 32,000

Answer:

Yes

Step-by-step explanation:

Collinear means points are lying on the same straight line. U, H, and L are all lying on the line l.

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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Answer:

The length of segment Pc is 2cm as well.

Answer:

im an expert

Step-by-step explanation:

Answer: The range is 20, Standard Deviation, σ: 6.8702256149271

Step-by-step explanation:

I hope it helped!

<3

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Answer:

So the solution to the system of equations is x = 2 and y = 5.

Step-by-step explanation:

To solve this system of equations, we can use either substitution or elimination. Here's how to solve it using elimination:

Multiplying the first equation by 2, we get:

2x + 2y = 14

Now we can subtract the second equation from this one:

2x + 2y - (2x - y) = 14 - (-1)

Simplifying this, we get:

3y = 15

Dividing both sides by 3, we get:

y = 5

Now we can substitute this value of y into either of the original equations to solve for x. Using the first equation, we get:

x + 5 = 7

Subtracting 5 from both sides, we get:

x = 2

So the solution to the system of equations is x = 2 and y = 5.

The variables 8 observations have x2 values of 2 or greater.

Two variables, x1 and x2, are present in the supplementary data set. There are a total of 20 observations in this data set. The x2 values for 8 of these 20 observations are equal to 2. Thus, x2 values of two were present in eight out of twenty observations, or 40%. The following 12 observations' x2 values do not add up to 2. Thus, 8 of the 20 observations in the data set have x2 values of 2 or higher.8 of these 20 observations have x2 values that are equal to 2. Thus, eight out of twenty observations, or 40 percent, had x2 values equal to two. The x2 values for the next 12 observations are not equal to 2. Consequently, 8 of the data set's 20 observations have x2 values of 2 or above.

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If they are complementary angles

5x - 8 + 2x - 0 = 90

5x + 2x = 90 + 8

7x = 98

x = 98/7

x = 14

a) angle 1 = 5(14) - 8

= 70 - 8

= 62°

b) angle 2 = 2(14)

= 28°

Then angle 1 + angle 2 = 90°

62 + 28 = 90

90°

2) Supplementary angles

angle 1 = 6x - 19 angle 2 = 15x - 11

6x - 19 + 15x -11 = 180

6x + 15x = 180 + 19 + 11

21x = 210

x = 210/21

x = 10

angle 1 = 6(10) - 19 angle 2 = 15(10) -11

= 60 - 19 = 150 - 11

= 41° = 139°

41 + 139 = 180

180 = 180

Mr. Cho received 3840 eggs in the beginning.

Let's assume that Mr. Cho received x eggs in the beginning.

In the morning, he sold 1/3 of the eggs, so he had 2/3 of the eggs left. Therefore, he had 2/3 x eggs left after the morning sales.

In the afternoon, he sold 320 eggs, so he had 2/3 × x - 320 eggs left at the end of the afternoon.

At the end of the day, he found that 1/4 of the eggs were not sold, which means that he had 3/4 of the eggs left. Therefore, we have:

3/4 × x = 2/3 × x - 320

Multiplying both sides by 12, we get:

9x = 8x - 3840

Simplifying, we get:

x = 3840

Therefore, Mr. Cho received 3840 eggs in the beginning.

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Answer:

At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.

Ketchup Mustard Chili

63 27 60

Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?

900

2,000

2,100

4,000

Step-by-step explanation:

Answer:

175

I just used a calculator

\( {12x}^{4} + {39x}^{3} + {9x}^{2} \)

We csn pull out 3x² out of the expression.

\( {3x}^{2} (4 {x}^{2} + 13x + 3)\)

We simply pull out the x-term with lowest degree and 3 out of the expression. If another expression cannot be factored after first factoring then that's the final answer.

\( {4x}^{2} + 13x + 3 \\ (4x + 1)(x + 3)\)

\(3 {x}^{2} (4x + 1)(x + 3)\)

\( \large \boxed { {3x}^{2} (4x + 1)(x + 3)}\)

Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

30 yellow beads

Step-by-step explanation:

there is a difference of three beads if there are 5 yellow beads per 2 red beads. You're looking for a combination of numbers with a difference of 18. divide 18 by three, and you get 6. multiply 6 by each of the 2 numbers 2 and 5, to get 12 and 30. They have a difference of 18, and follow the ratio of red to yellow beads. Now just take the 30 yellow beads and give an answer

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°