Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5)

Answers

Answer 1

9514 1404 393

Answer:

(a) (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

a (-2, 4)

Find The Orthocenter Of The Triangle With The Given Vertices: L(2, 2), M(-4, 2), N(-2, 6) A (-2, 4) B

Related Questions

Does 9 in 15 in 17 in make a right triangle

Answers

Answer:

No, they don't.

Step-by-step explanation:

Look at the picture for the explanation. Using the side-side-side rule, it's shown that 9,15, and 17 don't make a right triangle.

Does 9 in 15 in 17 in make a right triangle

Help and explanation if you don’t know don’t answer

Answers

Answer:

A is false (Y is far left of 0, so it is a negative. H is close to 0 so it is positive. Y is farther from zero, so it is bigger. For example, Y could be -7, and H could be 3. The sum of -7 and 3, would be -5.

B is false (E is on the left of 0 so it is negative. Y is on the left of zero so it is also negative. Negative divided by a negative is a positive )

C is false (H is positive and E is negative. Positive times a negative equals a negative.)

D is true (A is close to zero, so it is a small positive number. H is farther from zero, so it is a larger positive number. For example, A can be 2 and H can be 5. So, 3 - 5 would equal a negative.)

Jack brought three binders from the store and paid $13.17. If he goes back to the store to purchase five more binders, How much in total will he have spent on binders

Answers

Jack would have spent 35.12 dollars on binders

Answer:

35.12 dollars. hope this helps

Step-by-step explanation:

another one of these, god help me

Answers

Answer:

24x+48

Step-by-step explanation:

(3x+6)(8)

=8(3x+6)

=(8*3x)+(8*6)

=24x+48

Answer: 24x + 48

Step-by-step explanation:

The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).

First you must replace L and W, for their given values.

A= (L) (W)

A= (3x+6) (8)

Then, simply simplify by multiplying 3x+6 by 8

You would end up getting 24x + 48

if two sides of a square field were increased by five feet, as seen in the diagram, the area of the field would increase by 245 ft2 . find the area of the original square

Answers

If increasing the sides of a square field by five feet will increase the area by 245 ft², then the area of the original square is 484 ft².

To find the area of the original square, we can use the following formula:

Area of the original square = x²

where x is the original length of the square field.

Given that the increase in the length and width of the square field is 5 ft, the side length of the new square is (x + 5) ft. Therefore, the area of the new square is (x + 5)² ft².

Given that the area of the new square is 245 ft² more than the area of the smaller square, we can write:

(x + 5)² = 245 + x²

Expanding the left-hand side of the equation and simplifying, we get:

x² + 10x + 25 = 245 + x²

Solving for x, we get:

10x + 25 = 245

x = 22

Plugging x = 22 into the formula, we can find the area of the original square:

Area of the original square = x² = 22² = 484 ft²

Therefore, the area of the original square is 484 ft².

Learn more about area of square here: https://brainly.com/question/25092270

#SPJ11

At the baseball game the Kacanich family purchased 3 hot dogs and 2 cheeseburgers and paid $31.25. The Nisbet family purchased 5 hot dogs and 2 cheeseburgers and paid $41.75. Write and solve a linear system to find the cost of each hot dog and each cheeseburger.

Answers

Let x be the cost of a hot dog and y be the cost of a cheeseburger. Then we can set up the following system of equations:

3x + 2y = 31.25

5x + 2y = 41.75

We can solve for one of the variables by subtracting the first equation from the second:

5x + 2y - (3x + 2y) = 41.75 - 31.25

2x = 10

x = 5

Substituting x = 5 into either of the equations above gives:

3(5) + 2y = 31.25

15 + 2y = 31.25

2y = 16.25

y = 8.125

Therefore, a hot dog costs $5 and a cheeseburger costs $8.125.

This does not exist anymore. Please try again another time.

Answers

Answer:

Step-by-step explanation:

okayy

step by step: none

Convert 75 miles per hour to feet per second

Answers

Answer:

110 feet per second

Step-by-step explanation:

You would mutiply your speed in miles per hour by 5,280. That's the number of feet in a mile and your result is your speed in feet per hour.

75 x 5,280 = 396,000 feet per hour

Then you would divide your speed by 60 and that result is your speed in feet per minute.

396,000 / 60 = 6,600 feet per minute

Lastly, you would divide that speed by 60 and the result is your speed in feet per second.

6,600 / 60 = 110 feet per second

The conversion of 75 miles per hour to feet per second is approximately 110 feet per second.

How do we convert units from miles per hour to feet per second?

We can do this by using conversion factors that relate the two units. Specifically, we can use the fact that 1 mile equals 5,280 feet and 1 hour equals 3,600 seconds.

To convert miles per hour to feet per second, we need to multiply the value in miles per hour by a conversion factor that will cancel out the "miles" unit and replace it with "feet," and another conversion factor that will cancel out the "hours" unit and replace it with "seconds."

So, first we convert miles per hour to feet per hour by multiplying 75 miles/hour by 5,280 feet/mile.

This gives us:

= 75 miles/hour x 5,280 feet/mile

= 396,000 feet/hour

Next, we convert feet per hour to feet per second by dividing by 3,600 seconds/hour.

This gives us:

=396,000 feet/hour ÷ 3,600 seconds/hour

= 110 feet/second

Therefore, 75 miles per hour is approximately equal to 110 feet per second.

To know more about unit conversion check:

https://brainly.com/question/17540215

#SPJ2

HELP!! *I WILL MARK BRAINLIEST*
The manager of the cafeteria kept track of the number of each type of lunch sold in October and made this table. Which graph best correctly and completely represents the data in the table?

Answers

Answer:

Step-by-step explanation:

Question 1 (5 points)
✓ Saved
Listen
(06.01 LC)
A person in the audience of a talk show has a 15% chance of winning free movie
tickets. What is the chance that a person in the audience may not win free movie
tickets? (5 points)
1) 85%
2) 70%
3) 35%
O4) 30%

Answers

Answer:

85%

Step-by-step explanation:

If they had a 15% chance out of 100% to win free movie tickets, just subtract the 15% from the 100% to get your answer. Hope it helps.

A line passing through (p, 1/2) and (-8, q) has a slope of 3/4.
Find two possible values for each of p and q , and write the corresponding equations of the lines in slope-intercept form.

Can someone help me with this question...?

Answers

The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

m = (y2 - y1)/(x2 - x1)

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

Learn more about slope of a line here:

https://brainly.com/question/3493733

#SPJ1

Which degree measurement is equivalent to
7pie/6 radians?

Answers

The answer is 210° ... if it is incorrect let me know so I can correct myself !
mark brai. Please

Elon bought 6 yards fabric. He uses 2/18 yards of fabric to make a jacket. Elon wants to know how much fabric we will have left

Answers

The yards of fabrics Elon will have left if he buys 6 yards and used 2/18 yards for jacket is 5 8/9 yards

How much fabric wil he have left?

Number of yards of fabrics Elon bought = 6 yards

Fabrics used to make jacket = 2/18 yards

Yards of fabrics remaining = Number of yards of fabrics Elon bought - Fabrics used to make jacket

= 6 - 2/18

= 6 - 1/9

= (54 - 1) / 9

= 53/9

= 5 8/9 yards

Hence, Elon will have 5 8/9 yards left after making his jacket

Answers

Answer:

2(x+y) = 40y = 2 +4x

Step-by-step explanation:

You want a system of equations for the width (x) and length (y) of a rectangle with a perimeter of 40 feet and length 2 more than 4 times the width.

Equations

One equation can give the relation for the perimeter:

2(x +y) = 40

The other can express the relation between width and length:

y = 2 +4x

Your system of equations is 2(x+y) = 40, and y = 2+4x.

Additional comment

The solution is (x, y) = (3.6, 16.4) feet.

What is the midpoint of the line segment graphed below?

Answers

Answer:

B. (4, 7/2)

Step-by-step explanation:

To find the midpoint, you must use the formula (change in x)/(change in y). As the x axis changes from -1 to 9, it moves by 10.

As the y axis changes from 2 to 5, it changes by 3.

The middle of -1 and 9 would be 4, as it moves by half of 10, (5) aka

(change in x).

The middle of 2 and 5 would be 3.5, for the same reasoning. (7/2 = 3.5)

Therefore, the answer is B (4, 7/2)

Hope it helps :D

The graph shows Victor's math scores versus the number of hours he studies: A graph titled Victors Math Scores shows Hours of Practice in a Week on x axis and Math Scores on y axis. The x axis scale is shown from 0 to 5 at increments of 1, and the y axis scale is shown from 0 to 50 at increments of 5.The ordered pairs 0, 5 and 0.5, 10 and 1, 16 and 1.5, 20 and 2, 27 and 2.5, 28 and 3, 35 and 3.5, 34 and 4, 44 and 4.5, 44 and 5, 48 are shown on the graph. A straight line joins the ordered pairs 0, 5 and 5, 50. What will Victor's math scores most likely be if he spends 7 hours a week studying math? 58 points 62 points 68 points 72 points

Answers

Answer:

Step-by-step explanation:

Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.

Write an equivalent expression by distributing the "−−" sign outside the parentheses:−(−8.4n−1)−(−8.4n−1)

Answers

GIven:

$-(-8.4n-1)$

To Determine: The equivalent of the given expression

Distributing the sign outside as shown below:

$\begin{gathered} -(-8.4n-1) \\ =-\times-8.4n-\times-1 \\ =8.4n+1 \end{gathered}$

Hence, the equivalent expression by distributing the sign outside the given expression is:

8.4n+1

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road

Answers

Given:

A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).

Equation of line of one road : $y=-\dfrac{3}{4}x+7$.

New road that will run perpendicular to the first road

To find:

The equation of line for the new road.

Solution:

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

We have,

$y=-\dfrac{3}{4}x+7$

Slope of this line is $-\dfrac{3}{4}$ and y-intercept is 7.

Product of slopes of two perpendicular line is -1.

$m_1\times m_2=-1$

$-\dfrac{3}{4}\times m_2=-1$

$m_2=\dfrac{4}{3}$

The point slope form of a line is

$y-y_1=m(x-x_1)$

where, m is slope.

The slope of new line is $\dfrac{4}{3}$ and it passes through P(-3,-15). So, the equation of line of new road is

$y-(-15)=\dfrac{4}{3}(x-(-3))$

$y+15=\dfrac{4}{3}(x+3)$

$y+15=\dfrac{4}{3}x+4$

Subtract 15 from both sides.

$y=\dfrac{4}{3}x+4-15$

$y=\dfrac{4}{3}x-11$

Therefore, the equation of the line representing the new road is $y=\dfrac{4}{3}x-11$.

insert the missing number: 6 17 37 10 10 25 12 32 ?

Answers

The missing number in 6 17 37 10 10 25 12 32 ? is 37.

Based on the provided sequence, the missing number can be determined by observing the pattern within the given numbers. Let's analyze the sequence:

6 17 37 10 10 25 12 32 ?

By examining the sequence, we can identify the following pattern:

The first number, 6, increases by 11 to become 17.

The second number, 17, increases by 20 to become 37.

The third number, 37, increases by 27 to become 64.

At this point, we can see that the pattern alternates between adding the square of an increasing increment and subtracting that same increment from the previous number. So, to continue the pattern:

The fourth number, 10, decreases by 6 to become 4.

The fifth number, 10, decreases by 1 to become 9.

The sixth number, 25, increases by 3 to become 28.

The seventh number, 12, decreases by 4 to become 8.

The eighth number, 32, increases by 5 to become 37.

Therefore, the missing number in the sequence is 37.

Know more about missing number here:

https://brainly.com/question/23171011

#SPJ11

Plane H is shown. Plane H contains four points. Points A, C, and D form a diagonal line on the left. Point B is to the right of point C. Which points are coplanar and noncollinear? points A and D points C and D points A, C, and D points A, B, and D

Answers

Answer:

Step-by-step explanation:

edg 2021

Answer:

Step-by-step explanation:

Which graph represents a function with direct variation?

Answers

Graph fourth represents a function with direct variation and the equation of the graph will be y = kx option (D) is correct.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The graph is shown in the pictures

As we know,

The proportional relationship can be defined as:

y ∝ x

y = kx

k is the constant of proportionality:

y = kx is the equation of the line which passes through the origin.

Graph four passes through origin.

Thus, graph fourth represents a function with direct variation and the equation of the graph will be y = kx option (D) is correct.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ1

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon's score for his 6th game?

Answers

Answer:

By scoring 240 in the sixth game, Marlon can maintain this exact average

Step-by-step explanation:

The first thing to do here is to calculate the average for the first 5 games.

Mathematically, the average can be calculated by adding all the scores in the games and dividing by 5;

= (210 + 225 + 254 + 231 + 280)/5 = 1200/5 = 240

Now to maintain this average score of 240, we want to know the score she must have in the 6th game.

Let the score be x;

By adding x to the previous total of 1200 before and dividing by the new count of 6, we can work our way to get x.

Mathematically, what we are saying is;

(1200 + x)/6 = 240

6 * 240 = 1200 + x

1440 = 1200 + x

x = 1440 -1200

x = 240

What type of variable is required to construct a confidence interval for a population proportion?.

Answers

The confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

What is a qualitative variable?

A trait that cannot be quantified is referred to as a categorical variable (also known as a qualitative variable).

Nominal or ordinal categorical variables are also acceptable.

Since the variable of interest is a person's opinion, which is a qualitative variable, the confidence interval for a proportion should be built.

Statistical Variables Qualitative variables also referred to as categorical variables are variables without a built-in sense of hierarchy.

As a result, they are quantified using a nominal scale.

For instance, a qualitative variable is a name as well as hair color (Black, Brown, Gray, Red, Yellow).

Therefore, the confidence interval for a proportion should be constructed since the variable of interest is a person's opinion, which is a qualitative variable.

Know more about qualitative variables here:

https://brainly.com/question/14037311

#SPJ4

A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=10000+5000x,f(x)=10000+5000x, where xx is the number of siblings (including half-siblings and step-siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

what does the fox say???!!

Step-by-step explanation:

Answer:

The domain of the function is represent by all values of equal or greater than zero.

The given function is based on the assumption that the greater the family, the lesser the income mostly because the number of siblings, and therefore, the higher the financial aid.

Step-by-step explanation:

Let f(x)=25000+3000 x x , where is the number of siblings of the student, dimensionless, and is the financial aid for the student, measured in US dollars.

represents the domain of the function, whose set is formed by non-negative entire numbers:

In other words, the domain of the function is represent by all values of equal or greater than zero.

Besides, the given function is based on the assumption that the greater the family, the lesser the income mostly because the number of siblings, and therefore, the higher the financial aid.

IF AB = 6x-9 BC = 3x+17 and AC = 5x+16, find BC

Answers

Since the point B is between points A and C, the length BC is 22.25 units

How to determine the numerical length of BC?

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

Length AB = 6x - 9

Length BC = 3x + 17

Length AC = 5x + 16

The above implies that the point B is between points A and C