find the coordinates of the orthocenter for XYZ with X(-5,-1) Y(-2,4), Z(3,-1)

Find The Coordinates Of The Orthocenter For XYZ With X(-5,-1) Y(-2,4), Z(3,-1)

Answers

Answer 1

9514 1404 393

Answer:

  (-2, 2)

Step-by-step explanation:

The orthocenter is the intersection of the altitudes. The altitude lines are not difficult to find here. Each is a line through the vertex that is perpendicular to the opposite side.

Side XZ is horizontal, so the altitude to that side is the vertical line through Y. The x-coordinate of Y is -2, so that altitude has equation ...

  x = -2

__

Side YZ has a rise/run of -1/1 = -1, so the altitude to that side will be the line through X with a slope of -1/(-1) = 1. In point-slope form, the equation is ...

  y -(-1) +(1)(x -(-5))

  y = x +4 . . . . . . . . subtract 1 and simplify

The orthocenter is the point that satisfies both these equations. Using the first equation to substitute for x in the second, we have ...

  y = (-2) +4 = 2

The orthocenter is (x, y) = (-2, 2).


Related Questions

An object has a constant acceleration of -42 ft/sec2, an initial velocity of 5 ft/sec, and an initial position of 9 ft. Find the position function describing the motion of this object.

Answers

Answer: The equation of motion is

 s(t) = (1/2)a·t² +v₀·t +s₀

Step-by-step explanation: Hope this helped!

What is the measure of ABC?
A. 130
B. 85
C.40
D.170

Answers

Answer:

It would 85

Step-by-step explanation:

The easiest way to think about it is that the angle looks a little smaller than a right angle (90 degrees) therefore 85 degrees is correct.

Simplify
Complete the chart.
Original
Function
Rewrite
Differentiate
(Power Rule)
2
3) y =
6
3x
4) y = Vx7

Answers

Answer:

Step-by-step explanation:

Original Function          Rewrite       Differentiate              Simplify

3). y = [tex]\frac{2}{3x^6}[/tex]                   y = [tex]\frac{2}{3}x^{-6}[/tex]        y' = [tex]\frac{2}{3}(-6)x^{(-6-1)}[/tex]              y' = [tex]-\frac{4}{x^{7}}[/tex]

4). y = [tex]\sqrt[4]{x^7}[/tex]                 y = [tex]x^{\frac{7}{4}}[/tex]            y' = [tex]\frac{7}{4}x^{(\frac{7}{4}-1)}[/tex]                      y' = [tex]\frac{7}{4}x^{\frac{3}{4}}[/tex]

The ratio of the number of adults to the number of children at the resturant is 3:7. Identify the choices below that represent an equivalent ratio. Choices: A: 6:14 B: 8:12 C: 15:35 D: 21:9 E: 30:70

Answers

Answer: A: 6:14

C: 15:35

E: 30:70

Step-by-step explanation:

From the question, we are given that the ratio of the number of adults to the number of children at the resturant is 3:7.

The choices below that represent an equivalent ratio goes thus:

A: 6:14

This can be represented as: 6/14. The common factor is 2 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

B: 8:12

This can be represented as: 8/12. The common factor is 4 and we reduce to lowest term which would be: = 2/3 = 2:3

This is not an equivalent ratio.

C: 15:35

This can be represented as: 15/35. The common factor is 5 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

D: 21:9

This can be represented as: 21/9. The common factor is 3 and we reduce to lowest term which would be: = 7/3 = 7:3

This is not an equivalent ratio.

E: 30:70

This can be represented as: 30/70. The common factor is 10 and we reduce to lowest term which would be: = 3/7 = 3:7

This is an equivalent ratio.

The correct options are A, C,and E.

PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4

Answers

Answer:

Step-by-step explanation:

Putting values

6(12) - 8.45(4)

= 38.2

What is the length of AD if A is located at (-7,0) and D is located at (8,0)?

Answers

Answer:

15

Step-by-step explanation:

(-7,0) and (8,0) are on the opposite side of origin of x axis

d = 8 - -7 = 15

What is the perimeter of figure 12? (Show your work).

Answers

where is the picture of figure 12?

Use <,>,= to make a true statement
2.1___ the square root of 4.41

Answers

Answer: =

Step-by-step explanation: because if you do the square root of 4.41 it is 2.1

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

Help pls and thank you :)

Answers

Answer:

Answer choice : 3

Step-by-step explanation:

Which of the following is NOT a triangle congruence postulate or theorem?

1) Angle side angle
2) Angle angle side
3) Angle side side
4) none of these

Answers

Answer:

Which of the following is NOT a triangle congruence postulate or theorem?

4) none of these

The choices which are not triangle congruence postulate are: 3)Angle Side Side

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The reflexive property of congruence states that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

We need to find the choices which are not triangle congruence postulate or theorem.

The postulates that are used to prove the triangles congruent are,

1)Side Side Side

2)Side Angle Side

3)Angle side Angle

4)Angle Angle Side

5)Hypotenuse Leg

Other than these postulates none can be used to prove the triangles congruent.

The choices which are not triangle congruence postulate are:

3)Angle Side Side

Learn more about congruent triangles;

https://brainly.com/question/12413243

#SPJ2

Cristian says that when you raise a base number to a power of 3, it is impossible for the number to get smaller. Do you agree or disagree? Justify (prove) your answer.

Answers

Answer: I disagree

Step-by-step explanation:

I disagree with the statement from Cristian. When you raise a base number to a power of 3, it is possible for the number to get smaller.

For example, let's say our base number is negative 2, that is -2. Now let's find the cube of the number. This will be:

= -2^3 = -2 × -2 × -2 = -8

In this example, we can see that -8 is smaller than -2. This shows that the statement by Cristian is not correct.

denoted 5

(6,-1) (0,3) write an equation

Answers

First you need to find the slope
Y2-y1/x2-x1
3-6/0-(-1)
-3/1
Slope is -1 , use a point to find b
3=-1(0)+b
3=b
The equation is
Y=-x+3


(3y + 6) + (4y +5)=?

Answers

Answer:

7y+11

Step-by-step explanation:

(3y + 6) + (4y +5)=?

Combine like terms

3y+4y   + 6+5

7y+11

Answer:

7y +11

Step-by-step explanation:

Because you can't add the numbers with the letters

Find the error and explain why its wrong

Answers

Answer:

The last part.

Step-by-step explanation:

The error is only at the last part. Basically the answer part.

The answer should be —

[tex]13 \sqrt{5} [/tex]

We don't multiply the square roots when adding or subtracting. That'd contradict the rules.

Here, we let the square root of five as x-term.

[tex] \sqrt{5} = x[/tex]

[tex]4 \sqrt{5} + 9 \sqrt{5} = 4x + 9x[/tex]

As we add up, we would get 13x. Thrn we convert x-term back to square root of five.

The answer would be —

[tex]13x \\ x = \sqrt{5} \\ 13 \sqrt{5} [/tex]

Remember that we don't multiply the square roots when adding or subtracting.

Carter works in a department store selling clothing. He makes a guaranteed salary of $400 per week, but is paid a commision on top of his base salary equal to 25% of his total sales for the week. How much would Carter make in a week in which he made $1750 in sales? How much would Carter make in a week if he made xx dollars in sales?

Answers

Answer:

$837.5

Step-by-step explanation:

Step one:

given data

He makes a guaranteed salary of $400 per week

Commision on top of his base salary equal to 25% of his total sales for the week

Required

His total salary when he made sales of 25%

Step two

let us solve for 25% of $1750 made

=25/100*$1750

=0.25*$1750

=$437.5

Hence his total payment for the week will be

=$400+$437.5

=$837.5

Also, if the sales is $x his pay would be

let y be his pay

y=0.25x+400

Help me please! I’m begging

Answers

terms: 2, 8, 15. variables: x, y. coefficient:2,8

let me know if it’s correct!

1 2/3 x 2 1/4 =

answer asap and correct pls.

Answers

Answer:

the answer is 3.75

Step-by-step explanation:

I got the answer in decimal

the answer is 3 3/4. please make me brailiest

Find the product.

28.5 x 7

A. 198.5
B. 199
C. 199.5
D. 200

Answers

Answer:

199.5

Step-by-step explanation:

i know because I added it up

The answer is c, hope this helps!

1. What is the slope of the line that passes through the two points (12,-5)
and (-3, 8)?

Answers

Answer:
-13/15

Explanation:
To calculate the slope of a line given points (x1,y1) and (x2,y2), we can use the formula y2-y1/x2-x1.

y2-y1/x2-x1.
8-(-5)/-3-12
Two negatives make a positive
= 8+5/-15
= 13/-15
= -13/15

I hope this helps!

Question 1 (3 points)
In the table shown below, is the relationship linear? Explain your reasoning.
х
y
O
-1
1
-5
2
-9
3
-13
BIO
Question 25 points)
For the graph shown below:
Time left for this
assessment
19:37

Answers

Answer:

yes

Step-by-step explanation:

I don't really know how to explain it but you see, linear means that all your variables are only to the first power, and when variables are only to the first power, their graphs will always make a straight line.

I hope the graph helps.

If the population of Hillsborough County was 1.3 million in 2015 and the projected annual growth rate of the population is 3%, what would the projected population of the county be in 25 years? Round to the nearest hundredth.

Answers

Answer:

2,721,911.31

Step-by-step explanation:

The formula for Population growth rate is given as:

P(t) = Po(1 + r)^t

Where

Po = Initial population = 1,300000

P(t) = Population after t years

r = growth rate = 3%

t = time in years = 25

Hence,

P(25) = 1,300,000(1 + 0.03)^25

P(25) = 2,721,911.3086

P(25) Approximately = 2,721,911.31

The projected population of the county be in 25 years is 2,721,911.31

For which regular polygon is 30 degrees the smallest angle of rotational symmetry?

Answers

answer.

•given that is smallest angle of rotational symmetry for a regular polygon is 30

•we have to find the number of side does the regular polygon have

•if we can rotate of figure around a center point be fewer than 360° and the figure appears and change then the figure has the rotation symmetry

Hence,12 number of sides the polygon.

no. of side= 360/ smallest angle at centre=12

I hope it's help

Answer:

the answer is D

Step-by-step explanation:

A football team scored 3 touchdowns, 3 extra points, and 4 field goals. Write an expression to represent the total points the football team scored. Use t to represent the number of points for a touchdown Use e to represent the number of points for the extra point Use f to represent the number of points for a field goal Write the equation using the "WIRIS editor" button

Answers

Answer:

The answer is below

Step-by-step explanation:

A football team scored 3 touchdowns, 3 extra points, and 4 field goals.  

a. Write an expression to represent the total points the football team scored.  

b. Write another expression that is equivalent to the one written above.  

c. If each touchdown is worth 6 points, each extra point is 1 point, and each field goal is 3 points, how many total points did the team score?  

Solution:

a) Let t represent the number of points for a touchdown, e represent the number of points for the extra point and f represent the number of points for a field goal.

Total points = 3(t) + 3(e) + 4(f) = 3t + 3e + 4f

b) Total points = 3t + 3e + 4f   OR

Total points = t + t + t + e + e + e + f + f + f + f  OR

Total points = 3(t + e) + 4f

c) Total points = 3(t + e) + 4f = 3(6 + 1) + 4(3) = 3(7) + 4(3)

Total points = 21 + 12 = 33 points

The sum of the points the team has from different point gaining options

give the total number of points the team scores.

[tex]\underline{\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f}[/tex]

Reasons:

The number of touchdowns by the football team, t = 3

Number of extra points by the football team, e = 3

Number of field goals by the team, f = 4

Therefor, the total number of points, P = 3·t + 3·e +4.f

The specified editor is an equation editor, which can be used to write mathematical equations.

Using an equation editor, we have;

[tex]\mathrm{The \ total \ points \ the \ football \ team \ scored } = 3 \cdot t + 3 \cdot e + 4 \cdot f[/tex]

Learn more about equations here:

https://brainly.com/question/472337

10. Pandora music cost $109.65 a year.
Popular songs on iTunes cost $1.29 for
the purchase of each song. How many
songs purchased on iTunes would it take
to equal the cost of two years of Pandora
music.

Answers

Answer:

170 songs

Step-by-step explanation:

109.65 x 2= 219.30

219.30/1.29=170

Multiply. Express each answer as a decimal.

12⋅15
34⋅200
(0.2)⋅60
(0.75)⋅20

Answers

Answer:

12×15=180 34×200=6800 (0.2)×60=12 (0.75)×20=15

Please help!!!!!!!!!!!!!!!!

Answers

Answer:

m<G

Step-by-step explanation:

They are the same angle, hence they are congruent by the reflexive property. Moreover, they are both a part of the triangles; GHL and GJK, and therefore prove similarity.

53:06
What is the lowest value of the range of the function
shown on the graph?
5
4+
3-
оооо
2+
14
3
1
2 3 4 5
х
-5 4 -3 -2 -11
-2
-37
-4

Answers

Answer:

The answer is B

Step-by-step explanation:

I got this answer right on ed2020

The square of a number plus the original number is 22 what could the number be?

Answers

Answer:

x²+22

Step-by-step explanation:

let the number= X

x²+22

x2+22 is the answer to your question

Which of the following statements about “vesting periods” is TRUE?

Answers

What are the statements ?
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