Answers
Answer:
J (3; 9)
Step-by-step explanation:
Imagine each distance like a triangle and use Pythagorean theorem.
To illustrate I drew triangle ΔLON in the picture
Finding the distance between LN.
LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4
NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1
According to Pythagorean theorem
[tex]LN^{2} = LO^{2} + NO^{2}[/tex]
[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17
LN = [tex]\sqrt{17}[/tex] (LN > 0)
Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)
Mark J coordinates as (x; y)
Draw another triangle JOL, ∠JOL = 90°)
OJ is parallel with x axis and OL is parallel with y axis. O coordinates then are (4; y)
OL = y - 5
OJ = 4 - x
Note that ΔLON = ΔJOL, so OL is the same as LO and therefore
OL = LO = y - 5 = 4;
y = 9
OJ = NO = 4 - x = 1
x = 3
So the coordinates of J are (3; 9)
Similarly find the coordinates of K
Related Questions
if you know what is a pie
Answers
Используя теорему о внешнем угле треугольника, найдите угол С.
Answers
The sum of twice a number and 4 times another number is 4. The difference of the numbers is 5. Find the numbers(help a sis out)
Answers
Answer:
1st number = 4
2nd number = -1
Step-by-step explanation:
Let n = 1st number
Let m = 2nd number
2n + 4m = 4
n - m = 5
Substitu method, let n = 5 + m
2(5+m) + 4m = 4
10 + 2m + 4m = 4
6m = -6
m = -1
find n:
n - (-1) = 5
n + 1 = 5
n = 4
David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?
Answers
PLEASEEEE HELPPPPPP!!!
Answers
Answer:
18
Step-by-step explanation:
over which of the following approximate intervals is the water level decreasing
pls help !
Answers
Answer:
B and C
Step-by-step explanation:
It is going down
What is 0.000056023 written in scientific notation?
Answers
Answer:
5.6023 × 10^-5
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
0.00005602
Step-by-step explanation:
0.00005602
(hope this helps can i plz have brainlist :D hehe)
find x. PLSSSS HELP HURRYYY !!
Answers
Answer:
x = 141
Step-by-step explanation:
if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?
Answers
Answer:
60! hope this helps!
Step-by-step explanation:
Can anyone answer this for me thanks.
Answers
Answer:
ghhhbvhnv
Step-by-step explanation:
kjkjkjjn,nj,jn,jn
A scientist is testing a new antibiotic on some bacteria she discovers the the antibiotic kills half of the Bactria every hour if she starts with 42000 bacteria what equation can be used to predict the number of bacteria after x hours
a). y= 42000(2)^x
b). y=42000(1/2)^x
c). y=42000(1.5)^x
d). y=(42000/2)^x
Answers
what is the answer to 35% of 820
Answers
Answer:
35%of 820
35/100×820
287
...........
Answer:
287
Step-by-step explanation:
100% = 820
35% = 820 ÷ 100 × 35
= 287
Riko is ordering a submarine sandwich for 6 people. Each person will eat the same size section of the sandwich. The section size should be at least 4 inches. What is the length of the smallest sandwich Riko should order?
Answers
Answer: 24 inches.
Step-by-step explanation:
If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.
There are 6 people, which means that each person will eat 4 inches of a sandwich.
To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.
6 x 4 = 24.
In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.
(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)
PLEASE HELP ME PLEASE
Answers
Answer:
B
Step-by-step explanation:
(f – g)(x) = f (x) – g(x)=
[tex]3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1[/tex]
-5x = 25
what is the answer for x?
Answers
Answer:
i think its -5
Step-by-step explanation:
if you devide 25 by -5 you get -5
Answer: x = -5
Step-by-step explanation:
We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.
First, we will divide -5 from 25.
25 ÷ -5 = -5.
Because of this, x = -5!
If we're not sure, we can also check the equation.
-5 x -5 = 25, so the answer is true.
In conclusion, x = -5!
Please help me ASAP
Answers
Solve for p.
98 = 4p + 38
Answers
Answer:
P=15
Step-by-step explanation:
Answer:
P=15
Step-by-step explanation:
first:
98-38=60
4p=60
60÷4=15
P=15
hope that helped :)
Estimate the value of 102.3 divided 4.7
Answers
Answer: 21
Step-by-step explanation: 21.7659574 would be the exact awnser but to estimate you can just say 21
Answer:
It is actually 20.
Step-by-step explanation:
A union negotiates for a cost of living raise of 7%. What is the raise for a union member whose salary is $40,240? What is this person’s new salary?
Answers
$2816.80 is the raise
21 is 30% of 70
The mass of a car is 1000 kg. How much force would be required to accelerate the car at a rate of 5 m/sec^2 ?
Answers
Answer:
5000 N
Step-by-step explanation:
Given:
Mass m = 1000 kg
Acceleration a = 5 m/s^2
Force F =?
By Newton's first law of motion:
F = ma
F = 1000 * 5
F = 5000 N
(N = Newton, unit of force is Newton and is written as N. )
what is the answer to the question -6=n+5n
Answers
Answer:
-1=n I believe would be the answer.
Solve the following system of equations using substitution, elimination, or elimination by multiplication.
Answers
Explanation:
2x - 7(2x + 16) = -64
2x - 14x - 112 = -64
-12x = 48
x = -4
y = 2(-4) + 16
y = -8 + 16
y = 8
Write an algebraic expression for the following word expression.
13 more than the product of m and 3
Evaluate the expression for the value of the variable: 6
Answers
Answer:
3m + 13 = 31 I hope this helps you!
I NEED THE VALUE OF X PLEASE HELP!
Answers
Answer: 25.81
Step-by-step explanation:
We can see its a right triangle and then with Squareroot(21^2 + 15^2) = 25.81
y=-5/4x-1 what is the slope and y intercept
Answers
Answer:
Slope = -5/4. And y-int = (0,-1)
Step-by-step explanation:
Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!
Answers
Part 1) Finding the inverse
Let x = r and y = H(r)
We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01
From here, swap x and y to get the equation x = 6240(1+0.01y)^t
Let's solve for y
x = 6240(1+0.01y)^t
6240(1+0.01y)^t = x
(1+0.01y)^t = x/6240
1+0.01y = (x/6240)^(1/t)
0.01y = (x/6240)^(1/t)-1
100*0.01y = 100*((x/6240)^(1/t)-1)
y = 100*((x/6240)^(1/t)-1)
y = 100*(x/6240)^(1/t) - 100
This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.
We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.
So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.
The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.
===========================================================
Part 2) Finding the growth rate if the number of households is 7800 after 3 years.
We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)
r(H) = 100*(H/6240)^(1/t) - 100
r(7800) = 100*(7800/6240)^(1/3) - 100
r(7800) = 7.72173450159419
You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72
Since r = 7.72, this means the growth rate is 7.72%
please someone help me, will give brainily
Answers
Answer:
sorry I don't know sis ☹️
Area=100 units
Side length=10 units
Outer square
Area=196 units
Side length=14 units
HELP TIMED!!
WILL GIVE BRAINLIEST
Answers
Tom needs to buy a wood board long enough to cut into 4 pieces,
each of which needs to measure 8.5 inches. Estimate to the nearest inch
7
how long of a board Tom needs to buy.
A. 36 inches
B. 32 inches
C.40 inches
D. 9 inches
Answers
what's a variable?????????????
Answers
Answer:
In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.
Step-by-step explanation:
Answer:
VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.
CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w
EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.
TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.