50 points! Tell whether the orthocenter is inside, on, or outside the triangle. Then find the coordinates of the orthocenter.
Q(-1, 5), R(4, 3), S(-1, -2)

50 Points! Tell Whether The Orthocenter Is Inside, On, Or Outside The Triangle. Then Find The Coordinates

Answers

Answer 1

Answer:

(1,3) is inside the triangle

Step-by-step explanation:

Orthocenter is the intersection of altitudes.

We'll calculate the slopes of the two sides and their altitudes ad find the intersection.

Side QRm = (3 - 5)/(4 - (-1)) = -2/5

Perpendicular slope:

-1/m = 5/2

Perpendicular line passes through S(-1, -2):

y - (-2) = 5/2(x - (-1)) ⇒ y = 5/2x + 1/2Side RSm = (-2 - 3)/(-1 -4) = -5/-5 = 1

Perpendicular slope:

-1/m = -1/1 = -1

Perpendicular line passes through Q(-1, 5):

y - 5 = -(x - (-1)) ⇒ y = -x + 4

The intersection of the two lines is the orthocenter.

Solve the system of equations to get the coordinates of the orthocenter:

5/2x + 1/2 = x + 45x + 1 = -2x + 87x = 7x = 1

Find y-coordinate:

y = -1 + 4 = 3

The orthocenter is (1, 3)

If we plot the points, we'll see it is inside the triangle

50 Points! Tell Whether The Orthocenter Is Inside, On, Or Outside The Triangle. Then Find The Coordinates

Related Questions

Someone help and please make sure the answer is right! :)

Answers

Answer:

84

Step-by-step explanation:

180-51-45=84

I think this would be the answer since triangles add up to be 84 and we are just finding the last missing angle.

hope this helps :)

Answer:

the answer is c - 84

Step-by-step explanation:

every triangle adds up to 180, so if you subtract 51 and 45 from 180, you will get 84

i hope this helps, have a great day :)

f(x) = x+4
g(x) = 3x2 - 7



Find (f•g)(x)

Answers

Answer:

3x³ + 12x² - 7x - 28

Step-by-step explanation:

(f • g)(x) = f(x) × g(x)

= (x + 4)(3x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - 7) + 4(3x² - 7 ) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28

3. The New Orleans Saints scored 2 more
points than three times the points scored
by the Pittsburgh Steelers. If the New
Orleans Saints scored 32 points, write and
solve an equation to find the number of
points scored by the Pittsburgh Steelers.

Answers

Answer:

10

Step-by-step explanation:

Equation : 3x + 2 = 32

3x=30

x=10

Estimate 1.9 x 4.4

A. Between 4 and 10

B. between 12 and 20

C. between 1 and 5

D Between 1 and 12​

Answers

Answer:

A

Step-by-step explanation:

1.9 about 2, and 4.4 is about 4.

2x4=8

So it is safe to say between 4 and 10.

Can someone plz help me I’m being timed hurry!!!!!!!!!!!!

Answers

Answer:

...

Step-by-step explanation:

14, 18, 20

Answer:

14

16 (which is given)

18

20

Step-by-step explanation:

Which expression is equivalent to (6. p) + 3?

Answers

Answer:

Step-by-step explanation:

6p + 3 = 3*2*p + 3

           = 3(2p + 1)

What is the distance, in units, between the points (2, 3) and (2, -6) ?

Answers

Answer:

To find the distance between any two points, you can use the distance formula. However, the two ordered pairs have the same "x-coordinate" so all we really have to find is the distance of the y coordinates.

To get from 3 to -6, we have to move 3+6, or 9 units.

So, the answer would be 9 units.

Let me know if this helps!

The Jones family spent $45 on movie tickets for 2 adults and 3 children. The Smith family spent $40 for 2 adults

and 2 children. What are the prices of the adult movie tickets and the child movie tickets?

Answers

Answer:

Adult ticket is $15

Child ticket is $5

Step-by-step explanation:

Let x = adult ticket price

     y = child ticket price

2x + 3y = 45          2x + 2y = 40

-2x - 2y = -40

          y = 5            2x + 2(5) = 40

                                 2x + 10 = 40

                                 2x = 30

                                   x = 15

The prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.

Given that, the Jones family spent $45 on movie tickets for 2 adults and 3 children.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Let cost of adult tickets be x and the cost of children tickets be c.

The Jones family spent $45 on movie tickets for 2 adults and 3 children.

2a+3c=45 ------(I)

The Smith family spent $40 for 2 adults and 2 children.

2a+2c=40

a+c=20 ------(II)

From equation (II), we have a=20-c

Substitute a=20-c in equation (I), we get

2(20-c)+3c=45

⇒ 40-2c+3c=45

⇒ c=$5

Put c=5 in equation (II), we get

a+5=20

⇒ a=$15

Therefore, the prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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Need help plz help

What shape is this cross section?
A Square
B Cube
C Trapezoid
D Triangle

Answers

Answer:

A. Square for Ape.x

Step-by-step explanation:

Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days Write an equation


plz help me

Answers

Answer:

answer: he spent $120

Step-by-step explanation:

20×5=100

100+ the initial $20 spent = $120

Can someone help me Asap​

Answers

B. Y=4x-14

Think about where the point is on the grid and then use the slope to get to the y-intercept. So for this question your going to have to move backwards to get to the y axis. Move down 12 units and left 3 and that’ll give you the y-intercept which will match in the equation.

please help me !!!! I will mark brainliest

Answers

Answer:

Step-by-step explanation:

Answer:

Its the last one

Step-by-step explanation:

Your Welcome!

Consider functions f and g. f(x) = 8/x+2 g(x) = 4x^2 + 2 Evaluate the function composition. (f ° g)(-1)= _____

Answers

Answer: 1

Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)

The value of composite function (fog)(-1) = 10/3.

What is composite function?

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

The two functions are given below:

f(x) = 8/x+2

g(x) = 4x² + 2

To evaluate the composite value  (fog)(-1), first solve for g(-1).

Put x = -1 in 'g' function

g(x) = 4x² + 2

g(x) = 4(-1)² + 2

      = 4 + 2

g(x)  = 6

Now, substitute the value of g(6) in 'f' function

f(x) = 8/x+2

f(6) = 8/6 + 2

     = 10/6

Therefore, the composite value (fog)(-1) = 10/3.

To know practical use of composite function, here

https://brainly.com/question/27891702

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Find the percentage of given amount. a) 60 % of $25 __________ b) 25 % of $36 ___________ c) 10 % 0f $120 __________

Answers

Answer:

the given amount percentage is $15, $9 and $12 respectively

Step-by-step explanation:

The percentage of the given amounts are shown below:

a. 60% of $25 = $15

b. 25% of $36 = $9

c. 10% of $120 = $12

Hence, the given amount percentage is $15, $9 and $12 respectively


What integer values satisfy both inequalities?
-3<x<2
-2 ≤ x ≤ 2


Answers

Answer:

- 2, - 1, 0, 1

Step-by-step explanation:

Consider the integers that satisfy each inequality

- 3 < x < 2

solutions are x = - 2, - 1, 0, 1

- 2 ≤ x ≤ 2

solutions are x = - 2, - 1, 0, 1, 2

Thus the integer values that satisfy both are common to both, that is

x = - 2, - 1, 0, 1

Can someone plz help me I’m being timed hurry!!!!!!!!

Answers

Answer:

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Step-by-step explanation:

Super easy. All you do is replace the numbers in your table with the corresponding letter. In this case we have a table of s and f.

Example for row two: f = s + 12. Replace s with 4 ( 4 is from your s column so you would replace it with that) then solve and plug in your answer (When you solve your answer, it will go under f column).16 = 4 + 12 . f = 16, s = 4.

Formula = f = s + 12.

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

plssss helppppppppp 333333333333

Answers

Ccccccccccccccccccc it is c

What is the correct height of the triangle ??

Answers

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

What is the ratio of apples to bananas

Answers

cant see the apples or bananas

WILL GIVE BRAINLIEST ANSWER!!
How are the steps for graphing a line
using slope-intercept similar to using
point-slope? How are they different?

Answers

Answer:

they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept

Step-by-step explanation:

Slope-intercept is when you have a graph and a equation such as y=mx+b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.

y - y1 = m * (x - x1)

Given right triangle PQR which represents the value of sin p

Answers

Answer:

RQ/PQ

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

its right

help ILL GIVE BRAINLIEST

Answers

Answer:

50.24

Step-by-step explanation:

equation A=pi R^2

r^2 = 4^2 = 16

16*3.14 = 50.24

Answer: 50.24

Step-by-step explanation:

help me pleassssseeeeeeeeeeeeeeee

Answers

a1= 1
a200= 200
S200=(200) a1+a200/2
200(1+200)/2
=20100

The surface area of the square pyramid is 96 square inches. Find the value of x.

Answers

Answer:

X is 24.

Step-by-step explanation:

Divide the surface area by 4

x=10

First you

do 4*4 then u put a random number an start from 1 so with ten it would

be 4*10/2*4=96

HELP PLS!!!!

Al, Barb, and Calvin shared a large pepperoni pizza after school. Al ate 1/3 of the pizza, Barb ate 1/4 of the pizza. and Calvin ate the rest. What is the ratio of Al's share of the pizza, to Barb's share, to Calvin's share?

a. 4:3:5

b. 3:4:7

c. 5:4:3

d. 3:4:5

e. 4:5:7

Answers

Answer:

A. 4:3:5

Step-by-step explanation:

Al ate 1/3, which is 4/12. Barb ate 1/4, which is 3/12. That leaves 5/12 for Calvin to eat.

please I need someone to help my assignment​

Answers

Answer:

1) 20: 25

2) 15: 3

Step-by-step explanation:

A circle is centered at the origin and contains the point (-4,-2). What is the length of the radius of the circle?
0 V6
0 20
20
O 12

Answers

Answer:

0 20

Step-by-step explanation:

x2 + y2 = r2 , and this is the equation of a circle of radius r whose centre is the origin O(0, 0). The equation of a circle of radius r and centre the origin is x2 + y2 = r2 .

Step-by-step explanation:
Equation for circle centered at origin:
x² + y² = r².
r² = (-4)² + (-2)² = 20, r = √20

A student was assigned 40 math problems for homework. The student correctly answered 85% of the problems. How many homework problems did the student correctly answer ?

Answers

Answer: 34 questions right

Turn 85% into a decimal so .85 then multiply by 40 to get 34

Step-by-step explanation:

5 cm
4 cm
5 cm
5 cm
190 square cm
170 square cm
150 square cm
160 square cm

Answers

Answer:

what? do you want them to be added?

Is this geometry? It looks like an answer to an area of same shape?

Which is the best rational approximation for the square root of 55 ?
A: 7.5
B: 5.5
C: 11.0
D: 27.5

Answers

Answer:

The best rational approximation for the square root of 55 is 7.5.

Let me know if this helps!

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