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
5
The diagram shows two right-angled triangles. OAB
and OCD
Work out the length of BD. I
7 cm
4 cm
14 cm
Answers
Given:
The diagram shows two right-angled triangles OAB and OCD.
To find:
The length of BD.
Solution:
Let the length of BD is x.
In triangle OAB and OCD,
[tex]\angle AOB\cong \angle COD[/tex] (Common angle)
[tex]\angle ABO\cong \angle CDO[/tex] (Right angle)
[tex]\Delta OAB\sim OCD[/tex] (By AA property of similarity)
We know that, the corresponding sides of similar triangles are proportional. So,
[tex]\dfrac{AB}{CD}=\dfrac{OB}{OD}[/tex]
[tex]\dfrac{4}{7}=\dfrac{14}{14+x}[/tex]
[tex]4(14+x)=14(7)[/tex]
[tex]56+4x=98[/tex]
Subtracting 56 from both sides, we get
[tex]4x=98-56[/tex]
[tex]4x=42[/tex]
[tex]x=\dfrac{42}{4}[/tex]
[tex]x=10.5[/tex]
Therefore, the length of BD is 10.5 cm.
Solving 1 step math equations:
[tex] - 2.5 + w = 3.7[/tex]
Answers
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.
How do the values of the 14.937 compare
The value of the 1 is ___ times the value of the in 6.1225
Here are the answer options
⬇
10
100
1,000
Answers
The football team has a total of 60 jerseys. There are 36 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answers
Answer:
60%
Step-by-step explanation:
You can check and know because
60% of 60 is 36.
Camilla poured 7/12 of a gallon of water into a bucket. Later, she added 1/4 of a gallon more. How much water is in the bucket now? Write your answer as a fraction or as a whole or mixed number.
Answers
Answer: 10/12 0r 5/6
Step-by-step explanation:
Can someone help?
Looking at the pattern below, fill in the table of values.
Using the table of values, write a quadratic equation that represents the pattern.
Answers
Answer:
0, 3, 8, 15, 24y = x² + 2xStep-by-step explanation:
The pattern is
Step 1 ⇒ 1*3 = 3Step 2 ⇒ 2*4 = 8Step 3 ⇒ 3*5 = 15Next step would be
Step 4 ⇒ 4*6 = 24Step zero would be
Step 0 ⇒ 0*2 = 0The equation
y = x(x + 2) = x² + 2xAnswer:
0, 3, 8, 15, 24
y = x² + 2x
Step-by-step explanation:
The pattern is
Step 1 ⇒ 1*3 = 3
Step 2 ⇒ 2*4 = 8
Step 3 ⇒ 3*5 = 15
Next step would be
Step 4 ⇒ 4*6 = 24
Step zero would be
Step 0 ⇒ 0*2 = 0
The equation
y = x(x + 2) = x² + 2x
Someone help me with this math problem please
:)
Answers
Answer:
a. True
b. False
c. True
d. False
e. False
Step-by-step explanation:
a. 2.3 + ( -2.3) = 0
b. (-3.7) + (-4.1) = -7.8
c. -2.6 - (-12/4) = 0.4
d. 5/2 + (-2.5) = 0
e. 72 - (-100) = 172
I hope this helps
What is the approximate circumstance of the swimming pool? Use 3.14 as an estimate for pi
Answers
Answer:
Answer B 11m
Step-by-step explanation:
Can someone help me?
Answers
Answer:
$150
Step-by-step explanation:
3% as a percentage multiplier is 0.03
so 5000 x 0.03 = 150 which is 3% of 5000
Solve by elimination:
-x+2y=17
2x+2y=-10
Answers
Point form is (7,-12)
The points (1, 2), (2, 11), (3, 26) and (4, 47) are on the graph of a function. Write an explicit function that can be used to represent the function.
Answers
Answer:
The answer I'm not too sure but I think you don't have to chear to know.
Step-by-step explanation:
12 over 2 - (-4 1 over 2 =
Answers
Answer:
26 1/2
or
26.5
Step-by-step explanation:
Richard is selling candy bars for a school fundraiser on Monday he has 225 bars Remaining he sells an average of 30 bars per day how many bars will he have left at the end of the day on Friday?
Answers
Answer:
Mon - Fri: 4 days 4*30 = 120 bars given away. 225 - 120 = 135 bars
Step-by-step explanation:
he sells 30 per day so subtract 30 to 225 and keep going till you get to friday
tuesday 195
wednesday 165
thursday 135
friday 105
so on friday he will have 105 bars left
PLS HELP ILL MARK BRAINLIEST AND 25 POINTS
67
80
20
100
Answers
Answer:
80 times is your answer :)
Answer:
C.) 80
Step-by-step explanation:
The answer is 80 because if you do 400 ÷ 20 = 20
then times all of the spin color results by 20.
Original Chart:
Red: ||||| (5 tallies)
Orange: ∦ (3 tallies)
Yellow: || (2 tallies)
Green: |||| (4 tallies)
Blue: |||| (4 tallies)
Purple: || (2 tallies)
New Chart:
Red: 100 tallies
Orange: 60 tallies
Yellow: 40 tallies
Green: 80 tallies
Blue: 80 tallies
Purple: 40 tallies
If y varies directly as x, and y=-4 when x=8, find y when x=3
Answers
100 points plus brainlliest if you send friend request and answer 150*34
Answers
Answer:
5100
Step-by-step explanation:
Find the value of x in the shape to the right if the volume is 800π.
A. 16
B. 20
C. 24
D. 30
Answers
Answer:
Su respuesta sería B20, pero no estoy seguro, por lo que es posible que desee volver a verificar y hacer su trabajo.
Step-by-step explanation:
heber pays $40 each months to stream disney plus on one device to stream disney on multiple devices heber must play an additional %15 device if for a month heber bill was $115 on how many additional device heber stream
Answers
Answer:
667
Step-by-step explanation:
Answer:
667
Step-by-step explanation:
The ratio of boys to girls in a classroom is 15 to 12. What is the ratio of boys to total students in the classroom?
Answers
Answer:
15 to 27
Step-by-step explanation:
Boys = 15
Girls = 12
Total = 27
It's asking for Boys to Total, so you get 15 to 27!
What did you discover about saving and spending?
Answers
Answer:
Saving means to like save your money, or keep it
Spending means to spend it, or use it to buy stuff
Step-by-step explanation:
Saving and Spending are opposites
ASAP SOMEONE PLEASE ANSWER THIS PROBLEM FOR ME AND IF YOU DO THANK YOU!! :D
(The counter servers at Pop Brothers earn $8 per hour. If pis the amount of earnings and his number of hours worked,
which equation can be used to calculate the earnings for 1 server?)
1:ph = 8
2:Bp=8h
3:p=h+8
4:Dh=8p
Answers
The answer would be A
Answer:
1 ph=8
Step-by-step explanation:
Can't figure out number 6. need help!!
Answers
Answer:
Step-by-step explanation:
Definition of supplementary
[tex]3\sqrt 1728[/tex]
Answers
Answer:
48 √ 3
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Simplify the remaining expression completely. x6y4 xy2
Answers
Answer:
x5y2 or A
Step-by-step explanation:
on edg 2021
The simplification of expression [tex]\frac{x^{6}y^{4} }{xy^{2} }[/tex] is [tex]x^{5}y^{2}[/tex].
SimplificationWhat is simplification?Finding a solution to a complicated calculation that may involve square roots, cube roots, plus and minus integers, division, multiplication, and other mathematical operations is typically referred to as simplification.
What is exponent?The number of times a number has been multiplied by itself is referred to as an exponent.
Rule of exponents:Rule of the product of powers: When multiplying like bases, add the powers together.
Rule of the quotient of powers: When splitting like bases, take the powers out.
Solution for the expression:The expression is given as
[tex]\frac{x^{6}y^{4} }{xy^{2} }[/tex]
Applying multiplication and product rule, one power of x will be reduced and 2 power of y will be reduced.
Thus, the the simplified equation will become [tex]x^{5}y^{2}[/tex].
To know more about; how to solve expression with same base or factor?, here
https://brainly.com/question/234372
#SPJ2
25 POINTS!!! HELP PLEASE <3
Draw a diagram to show the given information. Take a picture and upload it into the answer box.
Given: M is the midpoint of segment RX. Line JK is the perpendicular bisector of segment RX.
Answers
Answer:
the answer is m=4
Step-by-step explanation:
Solve the equation.
3x + 2(4x − 6) = 8x + 1
What is the value for x?
Please enter fractional values in the form ‘a/b’. For example, an answer of 3/4 will be entered as 3/4.
x = ?
WILL MARK BRAINLIEST!!!!!
Answers
Answer:
13/3
Step-by-step explanation:
on edug
Answer:
the answer is 13/3
Step-by-step explanation:
did the assignment look below for proof
hope this helps :)
What is the perimeter of the rectangle shown below?
A
7
A. 10 units
B. 21 units
C. 13 units
D. 20 units
Answers
I know this because 7+7=14 and 3+3=6. Then 6+14=20.
Answer:
20
Step-by-step explanation:
How to find the perimeter of a rectangle:You add the same number twice to both numbers, then add the total of both numbers and that will get you your answer.
In this equation:
Add the same number twice.
[tex]7+7=14[/tex][tex]3+3=6[/tex]Then you add both numbers up.
[tex]14+6=20[/tex]Therefore your answer is [tex]20[/tex].
Note: I hope this helped, sorry for the late answer but should help others in the meantime. :) and it would help me a lot if you would give brainliest. :crown:, and comment if you still don't understand and ill be happy to assist you further. This goes to anyone.
Sam kept track of the number of problems he was assigned for his math homework on the box plot. A number line goes from 0 to 28. The whiskers range from 4 to 26, and the box ranges from 11 to 26. A line divides the box at 15. Which statement must be true according to the box plot?
Answers
Answer:
I think its A
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Jamie's car is 9 yards long. Joey's car is 27 feet long. When you line them up one in front of the other, how long are they together?
Answers
Answer:
54
Step-by-step explanation:
9 x 3 = 27
27 + 27 = 54