1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dimas [21]
2 years ago
6

Plss helpp its due tmr and i dont really get ittt

Mathematics
1 answer:
OlgaM077 [116]2 years ago
4 0

The orthocenter of the triangles ABC are (2, 0) and (3, 3)

<h3>How to determine the orthocenter?</h3>

<u>Question 8</u>

The coordinates are given as:

A(2,0); B(2, 4); C(6,0)

Calculate the slope of BC using:

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

So, we have:

m =(0 - 4)/(6 - 2)

m =-1

The perpendicular slope is:

n = -1/m

n = -1/-1

n = 1

The equation of the perpendicular line is

y = n(x - x1)  + y1

Where:

(x1, y1) = (2,0)

So, we have:

y = 1(x - 2) + 0

y = x - 2

Calculate the slope of AC using:

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

So, we have:

m =(0 - 0)/(6 - 2)

m =0

The perpendicular slope is:

n = -1/m

n = undefined

This means that the perpendicular line is a vertical line

The equation of the perpendicular line is

x = x1

Where:

(x1, y1) = (2,4)

So, we have:

x = 2

Substitute x = 2 in y = x - 2

y = 2 - 2

y = 0

So, we have:

(x, y) = (2, 0)

Hence, the orthocenter of ABC is (2, 0)

<u>Question 9</u>

The coordinates are given as:

A(1,1); B(3, 4); C(6,1)

Calculate the slope of BC using:

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

So, we have:

m =(1 - 4)/(6 - 3)

m =-1

The perpendicular slope is:

n = -1/m

n = -1/-1

n = 1

The equation of the perpendicular line is

y = n(x - x1)  + y1

Where:

(x1, y1) = (1,1)

So, we have:

y = 1(x - 1) + 1

y = x

Calculate the slope of AC using:

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

So, we have:

m =(1 - 1)/(6 - 1)

m =0

The perpendicular slope is:

n = -1/m

n = undefined

This means that the perpendicular line is a vertical line

The equation of the perpendicular line is

x = x1

Where:

(x1, y1) = (3,4)

So, we have:

x = 3

Substitute x = 3 in y = x

y = 3

So, we have:

(x, y) = (3, 3)

Hence, the orthocenter of ABC is (3, 3)

<h3>How to solve for x?</h3>

<u>Question 18 - 20</u>

Line 2x and x+ 3 are congruent lines

So, we have:

2x = x +3

Solve for x

x= 3

Line 3x and 2x + 5 are congruent lines

So, we have:

3x = 2x +5

Solve for x

x = 5

Line 2x - 3 and x + 2 are congruent lines

So, we have:

2x - 3 = x + 2

Solve for x

x = 5

<u>Question 21 - 23</u>

Line x + 5 and 3x + 7 are congruent lines

So, we have:

x + 5 = 3x + 7

Solve for x

x = -1

Line x + 6 and 5x - 4 are congruent lines

So, we have:

x + 6 = 5x - 4

Solve for x

x = 2.5

Line x + 8 and 5x + 7 are congruent lines

So, we have:

x + 8 = 5x + 7

Solve for x

x = 1/4

Read more about orthocenter at:

brainly.com/question/19763099

#SPJ1

You might be interested in
Help asap plz ill give a gold medal. the label on cars antifreeze claims to protect the car between -30celsius and 130celsius. t
irga5000 [103]
The inequality would start out looking like this:
-30\ \textless \  \frac{5}{9} (F-32)\ \textless \ 130
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
-270\ \textless \ 5(F-32)\ \textless \ 1170
Then distribute the 5 into the parenthesis:
-270\ \textless \ 5F-160\ \textless \ 1170
Now add 160 everywhere:
-110\ \textless \ 5F\ \textless \ 1330
and finally divide everything by 5:
-22<F<266


4 0
3 years ago
To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s
larisa86 [58]
First make the denominators of the fractions the same by multiplying.

\frac{2}{3} × \frac{2}{2}
=\frac{4}{6}

Now we just need to add the fractions together

\frac{5}{6} +  \frac{4}{6}
= \frac{9}{6}

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

\frac{9}{6} ÷ \frac{3}{3}
=\frac{3}{2}
=1.5 yards

Your final answer is 1.5 yards of ribbon are needed.
7 0
3 years ago
Read 2 more answers
What is the solution to the following equation?
lions [1.4K]

Answer:

D. x = 7

Step-by-step explanation:

NOTE : <u><em>there should be an equal sign somewhere in the given expression.</em></u>

suppose the equation is the following:

3(x-4)-5 = x-3

………………………………………………………

3(x - 4) - 5 = x - 3

⇔ 3x - 12 - 5 = x - 3

⇔ 3x - 17 = x - 3

⇔ 3x - 17 + 17= x - 3 + 17

⇔ 3x = x + 14

⇔ 2x = 14

⇔ x = 14/2

⇔ x = 7

8 0
2 years ago
Given circle O below, EFG a minor arc , major arc , or a semicircle
Artyom0805 [142]

Answer: Major arc

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please Help me I really need it :)
lapo4ka [179]

Answer:

C

Step-by-step explanation:

For the given intervals

( - ∞, - 5) ← use any value < - 5 but not - 5, the parenthesis ) indicates that x is less than - 5 but not equal to - 5

(- 5, - 1) ← - 4, - 3, - 2 can be used but not - 5 or - 1

(- 1, 4) ← 0, 1, 2, 3 can be used but not - 1 or 4

(4, ∞ ) ← use any value > 4 but not 4

Hence

3 can be used in (- 1, 4)

- 6 can be used in (- ∞, - 5)

zero can be used in (- 1, 4)

- 5 cannot be used in any of the given intervals

5 0
3 years ago
Other questions:
  • How to use point slope form with an undefined slope?
    10·1 answer
  • 865 divided into 2330 to the nearest percent
    12·2 answers
  • kevin used a 50 dollar bill to pay 4 shirts the cashier give kevin 6.44 of change how much did kevin spend on the shirts
    9·1 answer
  • Change each of the following points from rectangular coordinates to spherical coordinates and to cylindrical coordinates.
    8·1 answer
  • Which Of the following could not be points on the units circle ?
    13·2 answers
  • Its all here this time
    7·2 answers
  • Hi! I really need help with this!
    8·2 answers
  • No Links Please!
    12·2 answers
  • Find the sum: 3 4/5+2 1/4 i need helpnplzzz ​
    9·1 answer
  • Determine the cost of the two services will be the same amount and what the price will be? The struts family is deciding between
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!