A vendor is using an 8 ft by 8 ft tent for a craft fair the legs of the tent are 9ft tall and the top forms a square pyramid with a height of 3 ft. What is the volume in cubic feet of space the tent occupies

Answers

Answer 1

Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

Answer 2

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

Cuboid and Square pyramidCuboid is a solid which has six rectangular faces at right angles to each other.A square pyramid is a pyramid, in geometry, that has a square base and four lateral faces

How to solve this problem?

The steps are as follow:

Here there are two shapes are formed which are cuboid and square pyramidThe measures of Cuboid as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

The measures of pyramid is as follow:

Length = width = 8 ft.

height = 3 ft.

Th volume of cuboid is as follow:

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

The volume of square pyramid is as follow:

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

The total volume of space that tent occupies will be as follow:

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

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Related Questions

The annual property taxes on Jean's new home are 4. 23% of the value of the home. Her home cost \$238,500. What are the property taxes on her new home?

Answers

Jean would need to pay $10088.55 as property tax on her new home which cost $238500

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the value of Jeans property tax.

Jean's new home are 4. 23% of the value of the home. For a home of $238500:

x = 4.23% of $238500 = 0.0423 * $238500 = $10088.55

Jean would need to pay $10088.55 as property tax on her new home which cost $238500

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what is 5/4 divided by 10 pls be right if u were right ill give u brainliest!!!!!!!!!!!!!!

Answers

Answer:

0.004.

Step-by-step explanation:

First, I'll change \(\frac{5}{4}\) to a decimal.

\(\frac{5}{4} = 1.25.\)

Then, we divide.

\(\frac{1.25}{10} = 0.004.\)

The answer is 0.004.

CD is tangent to circle A at point B.
What is the measure of ZABD?
O 45°
O 60°
O 90°
B
о о
с
D
O 180°

CD is tangent to circle A at point B.What is the measure of ZABD?O 45O 60O 90B DO 180

Answers

The measure of the angle m<ABD is 90 degrees

Circle geometry

Circle geometry is the measure of angles within a circle. From te=he diagram shown, we can see that CD is tangent to circle A at point B and a line tangential to c circle is at 90 degrees

Since we are to find the measure of M<ABD, hence the required mesaure of the angle will be 90 degrees

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Solve for x.. helppp!

Solve for x.. helppp!

Answers

Answer:   x = 7

====================================================

Work Shown:

The third unmarked angle is (9x-25) because the base angles are congruent. Recall the base angles are opposite the congruent sides in an isosceles triangle. The congruent sides are shown with the tickmarks.

Add up the three angles, set the sum equal to 180, and solve for x

(9x-25)+(9x-25)+(104) = 180

18x+54 = 180

18x = 180-54

18x = 126

x = 126/18

x = 7

If you know 2 sides of a right triangle what method can you use to find the third side?

Answers

Answer:

Pythagorean theorem

Step-by-step explanation:

You can use the Pythagorean theorem to find the third side of a triangle.

A^2 + B^2 = C^2.

The sum of the ages of two brothers is 38.Four years ago,the age of the elder brother was the square of the younger brother’s age.Find their ages.

Answers

Answer:

9 and 29.

Let us denote the older brother’s age 4 years ago by x and the younger brother’s age 4 years ago by y

Their combined ages 4 years ago is 38–8 =30

So we have the equation x+y=30

We also know that x=y^2

X=25 and y=5 will satisfy that condition

So 4 years ago the older was 25 years old and the younger 5.

4 years later the older brother is 29 years old and the younger brother is 9

I need help please anyone can help me !!!!

I need help please anyone can help me !!!!

Answers

Answer:

5.15

Step-by-step explanation:

I hope this helps have a great day

How to convert 12in to mm?

Answers

The converted value of the 12inches to millimeters using scale factor is equal to ( 304.8 ) millimeters .

Units inch and millimeters both are the units used to measure length.Scale factor between inch and millimeter is equal to :

One inch is equal to 25.4 millimeters

Now multiply both the side of the expression by 12 we get,

⇒ ( 12 × 1 ) inches = ( 12 × 25.4 ) millimeters

⇒ 12 inches = ( 304.8 ) millimeters

Therefore, using the scale factor of inches to millimeter the required 12 inches is equal to 304.8 millimeters.

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Anyone know this?? Step by step please .
Find the absolute extreme if they exist, as well as the value of x where they occur for the function f(x) = 2x^2+384In x on the domain [1,6].

Anyone know this?? Step by step please . Find the absolute extreme if they exist, as well as the value

Answers

To find the absolute extreme values (maximum or minimum) of a function on a given domain, we need to follow these steps:

1. Find the critical points of the function inside the domain.
2. Evaluate the function at the critical points and at the endpoints of the domain.
3. Compare the values obtained to determine the absolute extreme values.

Let's apply these steps to the function f(x) = 2x^2 + 384 ln(x) on the domain [1,6].

1. Find the critical points of the function inside the domain.

The critical points of a function are the points where the derivative is zero or undefined. We can find the derivative of f(x) as:

f'(x) = 4x + 384/x

To find the critical points, we need to solve the equation f'(x) = 0:

4x + 384/x = 0

Multiplying both sides by x, we get:

4x^2 + 384 = 0

Dividing both sides by 4, we get:

x^2 + 96 = 0

This equation has no real solutions, since x^2 is always positive and 96 is positive too. Therefore, there are no critical points inside the domain [1,6].

2. Evaluate the function at the critical points and at the endpoints of the domain.

Since there are no critical points inside the domain, we only need to evaluate the function at the endpoints:

f(1) = 2(1)^2 + 384 ln(1) = 0
f(6) = 2(6)^2 + 384 ln(6) ≈ 290.7

3. Compare the values obtained to determine the absolute extreme values.

The function f(x) has a minimum value of 0 at x = 1 and a maximum value of approximately 290.7 at x = 6.

Therefore, the absolute extreme values of the function f(x) on the domain [1,6] are:

- Absolute minimum: 0, at x = 1
- Absolute maximum: approximately 290.7, at x = 6

find the critical value za/2 that corresponds to a 80 confidence level

Answers

the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

To find the critical value zα/2 that corresponds to an 80% confidence level, we need to determine the value of α/2.

A confidence level of 80% implies that the remaining area under the standard normal distribution curve is (1 - 0.80) = 0.20.

Since the standard normal distribution is symmetric, we divide this remaining area equally between the two tails, resulting in

α/2 = 0.10.

To find the corresponding critical value, we look up the z-score that corresponds to an area of 0.10 in the standard normal distribution table (also known as the z-table) or use a statistical calculator.

The critical value zα/2 for α/2 = 0.10 is approximately 1.2816.

Therefore, the critical value zα/2 that corresponds to an 80% confidence level is approximately 1.2816.

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at an electronics plant, it is known from past experience that the probability is 0.83 that a new worker who has attended the company's training program will meet the production quota and that the corresponding probability is 0.35 for a new worker who has not attended the company's training program. if 80% of all new workers attend the training program, what is the probability that a new worker will meet that production quota?

Answers

0.734

Probability is a branch of mathematics that deals with the occurrence or non-occurrence of an event. The probability is a number between 0 and 1 that represents the possibility of an event occurring.What is the probability that a new worker will meet the production quota?Given that an electronics plant has the probability 0.83 that a new worker who has attended the company's training program will meet the production quota and that the corresponding probability is 0.35 for a new worker who has not attended the company's training program, then the probability that a new worker will meet that production quota is 0.8(0.83) + 0.2(0.35) = 0.734Therefore, the probability that a new worker will meet that production quota is 0.734.

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Nadeen is at an arcade. She started with 181818 tokens. Each game costs 333 tokens. So far, Nadeen has played xxx games.

Answers

Nadeen has played at most 545 games.

Given: Nadeen is at an arcade and started with 181818 tokens. Each game costs 333 tokens. We need to find out how many games she has played so far. Let's solve this problem step by step. Let's assume that Nadeen has played x number of games so far. Then, the total number of tokens she has spent will be 333x. As she started with 181818 tokens, the remaining tokens she has now can be represented as 181818 - 333x. Now, we need to find out the number of games she has played so far.

As the tokens left with her is enough to play another game, we can set up an inequality as follows: 181818 - 333x ≥ 333By solving the above inequality, we get x ≤ (181818 - 333)/333x ≤ 545Therefore, Nadeen has played at most 545 games so far (since we cannot play a fractional part of a game). Hence, the answer to the given problem is that Nadeen has played at most 545 games.

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Two consecutive two-digit numbers are added. The digits of this sum, written in the reverse order, represent the largest of the consecutive numbers. What is the smaller number ?

Answers

Answer:

The smaller of the consecutive number is 36

Step-by-step explanation:

Let the digits be ab, and ab + 1, therefore, we are given;

The given parameters are;

\({}\)  ab

+ ab + 1

b+1   a

Therefore, we note that adding the two unit numbers b and b + 1, will give a number larger than 10, from which we carry the number 1 on the tens side to be added to the  tens unit of when adding the tens unit side of the two numbers as follows;

b + b + 1 = 10 + a...(1)

1 + a + a = b + 1...(2)

From equation (2), we have;

1 + a + a = b + 1

b + 1 = 1 + a + a

b = 2·a...(3)

Substituting the value of b from equation (3) in equation (1) gives;

b + b + 1 = 10 + a

2·a + 2·a + 1 = 10 + a

4·a - a = 10 - 1

3·a = 9

a = 9/3 = 3

a = 3

From equation (3) b = 2·a = 2 × 3 = 6

b = 6

The numbers are a b, and a b + 1 which are 36 and 36 + 1 = 37

We check to get;

36 + 37 = 73

Arranging 73 in reverse order = 37 which is the largest of the consecutive numbers

Therefore, the smaller of the consecutive number = 36.

The following is a proof that for any sets A, B, and C, A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C). Fill in the blanks.
Proof: Suppose A, B, and C are any sets.
(1) Proof that A ∩ (B∪ C) ⊆ (A ∩ B) ∪ (A ∩ C): Let x ∈ A ∩ (B ∪ C). [We must show that x ∈ (a).] By definition of intersection, x ∈ (b) and x ∈ (c). Thus x ∈ A and, by definition of union, x ∈ B or (d).
Case 1 (x ∈ A and x∈ B): In this case, by definition of intersection, x ∈ (e), and so, by definition of union, x ∈ (A ∩ B) ∪ (A ∩ C).
Case 2(x∈ A and x∈ C): In this case. (f). Hence in either case, x ∈ (A ∩ B) ∪ (A ∩ C) [as was to be shown].
[So A ∩ (B ∪ C) ⊆ (A ∩ B) ∪ (A ∩ C) by definition of subset.]
(2) (A ∩ B) ∪ (A ∩ C) ⊆ A ∩ (B ∪ C):
Let x ∈ (A ∩ B) ∪ (A ∩ C). [We must show that (a).] By definition of union, x ∈ A ∩ B (b) x A ∩ C.
Case 1 (x ∈ A ∩ B): In this case, by definition of intersection, x ∈ A (c) x ∈ B. Since x ∈ B, then by definition of union, x ∈ B ∪ C. Hence x ∈ A and x ∈ B ∪ C, and so, by definition of intersection, x ∈ (d).
Case 2 (x ∈ A ∩ C): In this case, (e).
In either case, x ∈ A ∩ (B ∪ C) [as was to be shown]. [Thus (A ∩ B) ∪ (A ∩ C) ⊆ A ∩ (B ∪ C) by definition of subset.]
(3) Conclusion: [Since both subset relations have been proved, it follows, by definition of set equality, that (a).]

Answers

The proof is divided into two parts: (1) showing A ∩ (B ∪ C) is a subset of (A ∩ B) ∪ (A ∩ C), and (2) showing (A ∩ B) ∪ (A ∩ C) is a subset of A ∩ (B ∪ C). By applying the definitions of intersection and union, and utilizing the properties of subsets, the proof establishes the equality between the two sets. Therefore, the conclusion holds that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) according to the definition of set equality.

(1) To show A ∩ (B ∪ C) ⊆ (A ∩ B) ∪ (A ∩ C), the proof starts by assuming x ∈ A ∩ (B ∪ C). This means x belongs to both A and (B ∪ C). The proof then considers two cases: (a) x ∈ A and x ∈ B, and (b) x ∈ A and x ∈ C. In each case, the proof demonstrates that x ∈ (A ∩ B) ∪ (A ∩ C). Thus, A ∩ (B ∪ C) is a subset of intersection (A ∩ B) ∪ (A ∩ C).

(2) To show (A ∩ B) ∪ (A ∩ C) ⊆ A ∩ (B ∪ C), the proof assumes x ∈ (A ∩ B) ∪ (A ∩ C). This means x belongs to either A ∩ B or A ∩ C. The proof considers two cases: (a) x ∈ A ∩ B, and (b) x ∈ A ∩ C. In each case, the proof shows that x ∈ A ∩ (B ∪ C). Hence, (A ∩ B) ∪ (A ∩ C) is a subset of A ∩ (B ∪ C).

(3) By proving both subset relations, the proof concludes that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) based on the definition of set equality.

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The midpoint of ab =

The midpoint of ab =

Answers

Answer:

M(x,y) = (0,0)

Step-by-step explanation:

The endpoints are (2,2) and (-2,-2)

Let's find the midpoint now

=> M(x,y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)

=> M(x,y) = \((\frac{2-2}{2} ,\frac{2-2}{2})\)

=> M(x,y) = \((\frac{0}{2} , \frac{0}{2} )\)

=> M(x,y) = (0,0)

Answer:

(0, 0)

Step-by-step explanation:

(-2, -2) is point B.

(2, 2) is point A.

The center or midpoint of the line is:

(x1 + x2)/2 , (y1 + y2)/2

(2+-2)/2 , (-2+2)/2

0/2, 0/2

0, 0


GE bisects DGF , m_ CGD= 2x - 2, m2 EGF= 37, m CGF = 7x + 2
mZCGD =
mZCGF =

GE bisects DGF , m_ CGD= 2x - 2, m2 EGF= 37, m CGF = 7x + 2mZCGD =mZCGF =

Answers

Answer:

m<CGD = 26°

m<CGF = 100°

Step-by-step explanation:

m<CGD = 2x - 2

m<EGF = 37

m<CGF = 7x + 2

Since GE bisects <DGF, m<DGF = 2*m<EGF.

m<DGF = 2*37 = 74°

m<CGD + m<DGF = m<CGF (angle addition postulate)

(2x - 2) + (74) = (7x + 2)

Find the value of x using the equation above.

2x - 2 + 74 = 7x + 2

Collect like terms

2x + 72 = 7x + 2

-2 + 72 = 7x - 2x

70 = 5x

70/5 = 5x/5

14 = x

x = 14

m<CGD = 2x - 2

Plug in the value of x

m<CGD = 2(14) - 2 = 28 - 2

m<CGD = 26°

m<CGF = 7x + 2

m<CGF = 7(14) + 2 = 98 + 2

m<CGF = 100°

x = - 6, y = - 3 and z = 4 Evaluate the following expression when x ^ 2 * y - 4z

Answers

Answer: 92

Step-by-step explanation:

Maura is using ribbon to create girls' hair barrettes. She has a total of 47 yards of ribbon with which to make her creations. A regular barrette requires 2 yards of ribbon and a deluxe barrette uses 5 yards of ribbon. Which inequality should be used to complete the inequality to represent this situation?

Answers

Maura inequality ensures that the total amount of ribbon used for regular and deluxe barrettes does not exceed the available 47 yards of ribbon.

Let's assume Maura makes "r" regular barrettes and "d" deluxe barrettes.

The number of yards of ribbon used for regular barrettes would be 2 * r, and for deluxe barrettes, it would be 5 * d.

According to the given information, Maura has a total of 47 yards of ribbon. So, the inequality that represents this situation would be:

2r + 5d ≤ 47

This inequality ensures that the total amount of ribbon used for regular and deluxe barrettes does not exceed the available 47 yards of ribbon.

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3.a family is tracking its spending habits. over the past year, the grocery bill has ranged from $110 to $170. suppose you were going to plot these points on a coordinate grid. (a)what is a good scale to use for the y-axis? explain your reasoning. (b)what is a good interval to use for the y-axis? explain your reasoning.

Answers

The $10 scale is a good scale to use for the y-axis. 12 months is sufficient to plot the graph and display the changes.

What is a coordinate system?

coordinate system, Setup of reference lines or curves that are used to pinpoint the locations of points in space The most popular two-dimensional system is called Cartesian (after René Descartes). Points are identified by their separation from a reference point, known as the origin, along a horizontal (x) and vertical (y) axis (0, 0).

Let the y-axis represent the money for groceries and the x-axis the number of months.

Given is that, the grocery bills range from $110 to $170.

We can thus view the changes in the grocery bills over 7 intervals by placing a scale of $10 on the y-axis.

Consequently, a $10 scale is a good scale.

Additionally, the y-axis shows the number of months. It will be sufficient to plot the graph and display the changes in grocery bills over the course of 12 months.

Therefore, 12 points are enough to represent a month.

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Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of gameplay. each software package costs ​$30. if their total cost is ​$90​, what is the cost of one month of gameplay?

Answers

Answer:

10$ I think

Step-by-step explanation:

2*30=60

90-60=30

30/3=10

Use the line of best fit to predict the percentage sales increase when the
discount is 35%.
100
80
60
(20, 62)
Sales Increase (%)
40 -
20
(10, 32)
10
30
40
50
Discount (%)
A. 93%
OB. 107%
C. 85%
D. 22%

Use the line of best fit to predict the percentage sales increase when thediscount is 35%.1008060(20,

Answers

Answer:

107%

Step-by-step explanation:

because if we look at the x-axis, Discount (%)

and look at 35 which is between 30 and 40

and start going up we get near 100

so

107%

or?

we use the two points and with that we find the slope first

\(\frac{y2-y1}{x2-x1}\)

plug in (20,62) and (10,32)

\(\frac{32-62}{10-20}\)

equals

\(\frac{-30}{-10}\)

simplify to 3

then we use

y - y1 = m (x - x1)

y - 62 = 3 (x - 20)

y - 62 = 3x - 60

add 60 from both sides

y - 2  = 3x

add 2 to both sides

y=3x+2

then plug in 35

y= 3(35) + 2

which is

107

Simplify (24)−1. one over two raised to the power of negative four one over two raised to the fourth power −24 23

Answers

The simplified form of the expression (2⁴)⁻¹ is 1/2⁴ (one over two raised to the power of four).

The integers exponents are the exponents that should be an integer. It can be either a positive integer or a negative integer. In this, the positive integer exponents describe how many times the base number should be multiplied by itself.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

It is given that the expression is (2⁴)⁻¹

Now,

using the integer exponent properties,

=> (2⁴)⁻¹  

=> (2)⁴* ⁻¹

=> (2)⁻⁴

=> 1/2⁴

Therefore, the answer is 1/2⁴ (one over two raised to the power of four) derived using the properties of integer exponents.

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need answered Asap!

Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the demand elastic, inelastic, or neither at the indicated values?
q = 404 - 0.2p^2

a. $22
b. $40

need answered Asap!Find the elasticity of demand (E) for the given demand function at the indicated values

Answers

the value of E is less than 1, the demand is inelastic at $40. Hence, the demand is inelastic at both prices.

Given, demand function, q = 404 - 0.2p^2a) When p = $22, the demand q = 404 - 0.2(22)^2 = 169.6Therefore, at p = $22, q = 169.6.b) When p = $40, the demand q = 404 - 0.2(40)^2 = 164Therefore, at p = $40, q = 164

The elasticity of demand is given by the formula, E = (Δq/Δp) × (p/q)Here, Δp = 40 - 22 = 18Δq = 164 - 169.6 = -5.6Also, q = (404 - 0.2p^2)

Putting the values of p = $22, we getq = (404 - 0.2(22)^2) = 169.6

Therefore, the elasticity of demand isE = (Δq/Δp) × (p/q)= ((-5.6)/18) × (22/169.6)= -0.0392Since the value of E is less than 1, the demand is inelastic at $22.c)

Putting the values of p = $40, we getq = (404 - 0.2(40)^2) = 164

Therefore, the elasticity of demand isE = (Δq/Δp) × (p/q)= ((-5.6)/18) × (40/164)= -0.068

Since the value of E is less than 1, the demand is inelastic at $40. Hence, the demand is inelastic at both prices.

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The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The function A(x) = x2 – 3x – 4 represents the area of the mirrors. The maximum length of the mirrors is 52 centimeters.

How do the mathematical domain and reasonable domain compare?

a.) mathematical: {x E R} reasonable: {x > 0}

b.) mathematical: {x E R} reasonable: {x > 4}

c.) mathematical: {x > 1.5} reasonable: {x > 0}

d.) mathematical: {x > 1.5} reasonable: {x > 4}

Answers

Answer:

b all real numbers x>4

Step-by-step explanation:

edg answer

A city official would like to know if there is public support for increasing funding for arts programs. To collect data, the city official stands outside a concert hall after a show and surveys every 25th person to exit and asks their opinion about raising funds for the arts. Which of the following describes the population in this scenario?

a. all residents of the city
b. the members of the city council
c. all city residents who support the arts
d. the people surveyed by the city official

I was thinking c. Who else agrees?

Answers

Answer:

I think the answer is either c or d. but i think your answer is good

Step-by-step explanation:

As the city official would lie to know that if public support for increased funding of arts programs. By collecting data the officials show the survey after every 25 persons and ask for their opinion.

They also tend to raise a fund that states the population in the scenario of a city resident that supports the arts.

Hence the option C is correct.

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Find the midpoint is the assignment.

Find the midpoint is the assignment.

Answers

(10,-3)(-4,-9)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{x_1+x_2}{2}_\dfrac{y_1+y_2}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{10-4}{2},\dfrac{-3-9}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=\left(\dfrac{6}{2},\dfrac{-12}{2}\right)\)

\(\\ \rm\hookrightarrow (x,y)=(3,-6)\)

Answer:

(3, - 6 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = (10, - 3) and (x₂, y₂ ) = (- 4, - 9) , then

midpoint = ( \(\frac{10-4}{2}\) , \(\frac{-3-9}{2}\) ) = ( \(\frac{6}{2}\) , \(\frac{-12}{2}\) ) = (3, - 6 )

what is the slope for each for each line

y=1/2x-4
y=2x-3

Answers

Slope= 1/2
Slope= 2
Those are the slopes in those equations. Hope that helps!

Bella is subtracting 17 from 11. Which equation could be used to find the difference between 11 and 17?
A.11+17
B.11+(-17)
C.17+(-11)
D.-17+(-11)

Answers

C as you want to know the difference between the 2 quantities

compute the orthogonal projection of onto the line through and the origin. The Orthogonal Projection Is

Answers

The orthogonal projection of [-2,2] onto the line passing through the origin and the point [-1,5] is the point [0.9231, 4.6154].

Orthogonal projection is a concept in linear algebra that allows us to find the closest point on a line to a given point.

To find the orthogonal projection of the point [-2,2] onto this line, we need to find the point on the line that is closest to the given point.

This line will be the line passing through the given point and perpendicular to the given line.

So, the projection of the given point [-2,2] onto the line passing through the origin and the point [-1,5] is given by the formula:

proj_l([-2,2]) = (([-2,2] . [-1,5]) / ([-1,5] . [-1,5])) x [-1,5]

where . represents the dot product of two vectors.

Evaluating this formula, we get:

proj_l([-2,2]) = (-12/26) x [-1,5]

proj_l([-2,2]) = [0.9231, 4.6154]

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Complete Question:

Compute the orthogonal projection of [-2 2] onto the line through [-1 5] and the origin.

The orthogonal projection is

You give me answer=BRAINLIEST

You give me answer=BRAINLIEST

Answers

Answer:

A. 2

Step-by-step explanation:

Well let’s first graph the following,

\(x^2 + y = 8\)

\(x=y\)

So on the graph the system of equations only have 2 real solutions which are

(-3.272, -3.272) (2.372,2.372)

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