Answers
Answer:
The orthocenter of a triangle is the point at which the three altitudes of a triangle intersect. This involves creating 3 lines, one from each vertex (K, L, and M) perpendicular to the line segment opposite it, so K⊥LM, L⊥KM, and M⊥KL.
Because these three lines intersect at one point, you only need to do this procedure for two of the three altitudes. Because K and M are on the same Y coordinate (-4), lets do this for LM and KL
First, we need to find the slope of the perpendicular to each line segment, so we need the slope of LM and KL.
The slope is the change in Y over the change in X
Slope LM = 6 -(-4) / 2-7 = 10/-5 = -2
Slope KL = -4-(6) / 4-2 = -10/2 = -5
The slope of a perpendicular line is the negative reciprocal of the slope of the given line, so for
the slope of K⊥LM has to be 1/2 and
the slope of M⊥KL has to be 1/5
Second, the vertex has to be on a line with that slope. So using the point-slope formula
(y-y1) = m(x-x1) , where x1,y1 is a point on the line for each line gives us
K⊥LM: y-(-4) = 1/2(x-4)
M⊥KL: y-(-4) = 1/5(x-7)
Third, find the point on both lines, are where the two equations are equal
So, 1/2(x)-2 = 1/5(x) - 7/5;
5x - 20 = 2x - 14
3x = 6 --> x=2
y+4=-1 --> y=-5
(2,-5)
Step-by-step explanation:
Related Questions
Chelsea shows her work in finding the solution to 4x−5=2+3(x−3). After checking her answer in the original equation, she found that it did not work. Where did she make a mistake?
Answers
quita los paréntesis: 4x-5=2+3(x-3) multiplica paréntesis X3, elimina el paréntesis: 4x-5=2+3x-9 calcule: 4x-5= -7+3x mueve los términos y te quedará así: 4x-3x-5=-7
agrupe los términos semejantes: x=-7+5
calcular la suma, y el resultado final sería: x= -2
Step-by-step explanation:
espero te sirva
find the slope of the blue line
Answers
PLEASE HELP IM GOING TO FAIL WILL GIVE BRAINLESS
Answers
Give me brainless cuz I according to me it's 24
What is the slope of a line parallel to a line with slope of 9
Answers
Answer:
slope of 9
Step-by-step explanation:
parallel means never touching, so it would have the same slope.
Hope this helps!
Oliver had $43. On his birthday, he
received $25. Write and solve an
equation to find how much money Oliver
has now.
Answers
Answer:
43 + 25 = x
x = 68
Answer:
43+25=y
68=y
Step-by-step explanation:
What is the value of x?
Answers
answer is x=13
sorry I had to get something for my mum
can someone find the area please?
Answers
Answer:
16
Step-by-step explanation:
i think
Answer:
7.348469228
Step-by-step explanation:
34+24+50=108
108/2=54
then you take 54 and minus each side like 54-34,54-24 and 54-50 then square root the final solution.
hope this help:)
I have a math test today and this is the only question I didn’t really understand-
Answers
Answer:
you cant put test questions on here
Step-by-step explanation:
Moms car is 180 inches long. Dads truck is 75% longer than moms car. How long is the truck?
Answers
Bc 180 times .75= 135
135 + 180 =315
hi i need help with something, tysm
Answers
Answer:
Step-by-step explanation:
y=-3/2x+5
Well, *clicks tounge* didn’t expect to be awake late, but time flies when your crying and panicing. :)
Answers
Answer: The first two
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST AND EXTRA POINTS!
Use graphing to determine the solution to the system of linear equations
please do it and show your work with your graph you drew and did.
Answers
Answer:
ayoooo
Step-by-step explanation:
can u pls help me with this question asap
Answers
Answer:
a
Step-by-step explanation:
Can someone help me with this? only got ab half an hour
Answers
Answer:
the y intercept is (0,25)
the x intercept is (1.5,0)
the vertex is (0,25)
the a value is negative
Step-by-step explanation:
Answer:
X - INTERCEPT = (0 , 25)
Y - INTERCEPT = (1.5 , 0)
VERTEX = (0 , 25)
A-VALUE = NEGATIVE
Step-by-step explanation:
You can graph this on desmos, giving you all your answers.
please help solve this problem
Answers
Answer:
answer iss ( -2 , 0 )
Step-by-step explanation:
1. Which of the following are not LIKE TERMS?
a. 7
b.-12
C. 0.5
d. - 2x
Answers
Answer:
2x
Step-by-step explanation:
It is the only one with a variable.
Given:
a) the ray GH bisects FGI
b) FGH = (3x - 3)
c) HGI = (4x - 14)
Solve for x.
Answers
The work is below if you need it :)
A 150-gram bag of berries is a mixture of raspberries and blueberries. If 80% of the bag is raspberries, how many grams of blueberries are in a bag?
Answers
Answer:
30g
Step-by-step explanation:
Since the bag is a total of 150 grams...
100% = 150
1% = 150 ÷ 100 = 1.5
Find out 80% of the bag which is finding out how many raspberries there are in the bag.
80% = 1.5 x 80 = 120
The remaining in the bag out of the raspberries is the berries.
150 - 120 = 30 (berries)
1. A community swimming pool is 7 yards 4.79 feet wide. How wide is the pool in meters and centimeters?
Conversion ratios:
1 m = 1.09 yd
1 yd = 3 ft
1 ft = 0.3048 m
1 m = 100 cm
Answers
Answer:
7.860792 meters and 786.0792 centimeters
Hence, the width of the pool is 7 meters and 86 centimeteres.
What is length?Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects.
How to solve?we know, 1yd = 3ft
7yd = 21ft
total length = 21 + 4.79
= 25.79ft
we know, 1ft = 0.3048m
25.79ft = 7.86m
which means 7meters 86 centimeteres
to learn more about length: https://brainly.com/question/18077445
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I need helping factoring 5p^2-6p-8=0
Answers
Answer:
p= -4/5 or p=2
Step-by-step explanation:
Factor left side of equation.
(5p+4)(p−2)=0
Set factors equal to 0.
5p+4=0 or p−2=0
Which equals :
p= -4/5 or p=2
What is the value of tan(60°)?
를
12
1300
B
600
Answers
Answer:
Step-by-step explanation:
tan (60)=(sin 60)/cos 60=(√3/2)/(1/2)=√3≈1.732
The value of expression tan 60° is,
⇒ tan 60° = √3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
To find the value of expression tan 60°
Now, We can find the value of expression as;
⇒ tan 60°
⇒ sin 60° / cos 60°
⇒ (√3 / 2) / (1 / 2)
⇒ √ 3
Thus, The value of expression tan 60° is,
⇒ tan 60° = √3
Learn more about the mathematical expression visit:
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sorry for blur but please help
Answers
Answer:
0 => -5
1 => -3
2 => 3
3 => 13
Step-by-step explanation:
No worries! To fill the table, we need to take the x values and insert them for the f(x) value.
The equation we're given is
f(x)=2x²-5
Starting with 0, we have
2(0)²-5
0²-5
0-5
-5
If we repeat for the rest of the values, we get the f(x) values listed above.
To answer this for every Number there is for x you have to plug it in
2(0)^2 -5
2(0)-5
0-5
=-5
2(1)^1-5
2(1x1)-5
2-5
=-3
Hope this helped!!
Which of these was part of the home front? i will give you brainline if you solve it
a family farm
an army camp
a battlefield
a warship at sea
Answers
Complete the sentences:
Answers
Answer:
a) "impossible event"
b) "certain event"
c) Letter A.
Step-by-step explanation:
a) An event with probability 0 is said to be:
These events are called "impossible events" (but there are more complex cases where we can have probabilities 0, and the events are not necessarily impossible events)
b) An event with probability 1 is said to be
An event with a probability of 1 is an event that will happen, these events are called "certain event"
c) The probability for each outcome of an unbiased experiment of N different outcomes will be 1/N
for example, for a 6-side dice we have 6 outcomes, then the probability of each outcome is 1/6.
For the coin, we have 2 outcomes, then the probability of each outcome is 1/2
Probability of getting a head = 1/2 = 0.5
In the image, we can see that letter A is on the 0.5 value, then the correct answer here is A.
Please help me!!!!! with this i’m begging!!!
Answers
Answer:
Step-by-step explanation:
This looks like my teachers worksheet
At a football game
number of men : number of women : number of children = 13: 5:7
There are 4152 more men than women.
Work out the number of children at the game.
Answers
1. A restaurant bill, b, is $21. You leave a 15% tip. How much do you pay including the tip?
O $3.15
O $21.15
O $24.15
O $39.00
Answers
Answer:
The answer is $24.15 dollars. (Including Tip)
Step-by-step explanation:
First you find out what 15% of 21 is.
21 * 15% = 3.15
Next we add.
21 + 3.15 = 24.15
So, the answer is 24.15
Hope this helps! :)
simple question but struggling a bit :)
Answers
Answer:
96
Step-by-step explanation:
5/5= 120
5/5-1/5=4/5
4/5= 120÷5×4
=96
4. What is the volume of the cone shown below?
Round to the nearest tenth.
5 ft.
d = 2 ft.
Answers
Answer:
5.2 cubic ft
Step-by-step explanation:
took the test
The volume of given cone is 5.23 cubic feet.
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cone[tex]v = \frac{1}{3} \pi r^{2} h[/tex]
where,
v is the volume of cone
r is the radius of cone
h is the height of cone
According to the question we have
Diameter of cone is 2ft
⇒ radius of the cone = [tex]\frac{2}{2} = 1 feet[/tex]
Height of the cone is 5ft.
Therefore,
The volume of the cone = [tex]\frac{1}{3}(1)\pi( 1)^{2} (5)[/tex]
Volume of cone = [tex]\frac{1}{3} (3.14)(1)(5) = 5.23 cubic feet[/tex]
Hence, hence the volume of given cone is 5.23 cubic feet.
Learn more about the volume of cone here:
https://brainly.com/question/1984638
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3. Here is the graph for one of the equations in a system of two equations.
The solution to the system is (6,2). Select all the equations that could be the other equation in the system.
A. y - 3x
B. y ==x+6
C. y=*x+3
D. y = 3x - 1
E. y = $x-1
F. y - 4x-2
Answers
Answer:C,A
Step-by-step explanation: