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 a basketball was super inflated and had a rebound ratio of 85%, write an equation to determine what the height of the basketball would be after 6 bounces if it was dropped from a height of 10 ft.
Answers
Answer:
3.77ft
Step-by-step explanation:
According the question
The height of the basketball dropped from a height of 10ft after 6 bound having a rebound ratio of 85%
= 10(17/20)^6 = 3.77 feet
Please do number 19 for me.
Answers
20x=180
x=9
Angle ABC is the top one
8x9=72
Answer:
[tex]x = 9[/tex]
[tex]angle \: abc = 8x + 6x + 6x \\ 20x = 180 \\ x = \frac{180}{20} \\ x= 9[/tex]
[tex]plzz \: \: mark \: as \: brainliest[/tex]
Please help me with this homework
Answers
Answer:
Step-by-step explanation:
No Taxi - 95
No Bus total - 275
Yes Taxi total - 120
Total Total - 400
pls help me it’s due today
Answers
Answer:
2. Obtuse
3. Right
Step-by-step explanation:
Answer:
2 is obtuse 3 is right
Step-by-step explanation:
i've done this before
¿cuantos envases se necesitan, si ponemos los 6 litros en envases de 3/4 litros?
Answers
se necesitan 8 envases
denada
Which set of ordered pairs represents a function?
{(-8, 1), (5. –7),(-6,9), (-6, -9)}
o{(-2,-3), (2, 1), (2,6), (4,9)}
o{(8,4), (6,4), (9,1),(7-6)}
o{(-4,5),(0,0), (2, -8), (2,0)}
Answers
Answer:
o{(8,4), (6,4), (9,1),(7-6)}
Step-by-step explanation:
Every x value can only have one y value
The price of a watch was increased by 20% to £198
What was the price before the increase?
Answers
Hope it helps
idrk an easy way to solve this lol
Answers
Answer:
math math math ;D
Step-by-step explanation:
afdgdfgdagf
Determine the value of the expression
Answers
the half-life of chromium-51 is 38 days. If the sample contained 510 grams. How much would remain after 1 year?
Answers
Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
milk truck delivers 376 dozen gallons of milk to stores in 1 day. Write and solve an equation to find n, the number of gallons of milk the milk truck delivers in 1 day. pls help!
Answers
Answer:
376*12=n
My logic:
there are 12 items in a dozen. so 376 dozens times 12 will result in the total milk delivered in a day.
PLEASE HELP ME!
Solve: system by elimination form
1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------
Answers
-2. -2
1y=23
1y=1y
Y=23
Can someone help ? I dont understand this
Answers
Answer:
4854
Step-by-step explanation:
2=434344=3
[46664792)
Answer:
31°
Step-by-step explanation:
The angle 59° will be equal to the angle c in triangle ABC.
Angle B will be 90°
Angle A + Angle B + Angle C = 180° (ASP)
Angle A + 90° + 59 ° = 180 °
Angle A = 180° - 90° - 59°
Angle A = 31°
Angle A = x
31° = x
The nth term of a sequence is given by 3n + 7.
Write down the fifth term of this sequence.
I
Answers
Fifth term in the sequence = 22
22
Explanation:
n = 5
3 x 5 = 15
15 + 7 = 22
Can someone help me with this please???...
Answers
Answer:
2×2×2×2× 5
Step-by-step explanation:
use the tree method it helps
Answer:
hey mate this is your answer..
Which expression is equivalent to 5 ( x + 8)?
Answers
Answer:
your answer is (B) 5x-0.4
Step-by-step explanation:
The equivalent expression for the given function is -
y = 5x + 40.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is the expression -
5(x + 8)
We can write the equivalent expression for the given function is -
y = 5(x + 8)
y = 5x + 40
Therefore, the equivalent expression for the given function is -
y = 5x + 40.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
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1. Which situation could be represented by y = 4x + 7?
a student started with $4 and saved $7 per week.
A package costs $7 plus $4 per pound to ship.
A skateboard weighs 4 pounds plus 7 ounces.
A recipe calls for 7 cups of flour and 4 cups of sugar.
2. What is the equation of the line through (5,8) and (2,2)?
y = 2x + 2
y = 2x - 2
y = 5x - 8
y =8x - 5
3. The slope of a line is -1/3 and the y-intercept is 3. What is the equation of this line?
y = 1/3 + 3
y = -1/3 + 3
y = 3x - 3
y = 3x - 1/3
4. What is the equation of the line that has a slope of 2 and goes through (3,7)?
y = 2x + 3
y = 1/2x + 7
y = 2x + 1
y = -2x + 1
5. Sammy is saving up to buy a PS5 plus. He has $40 and will save $60 per week. Which equation represents this situation?
1 point
y = 40x + 60
y + 60x + 40
y = 60x - 40
y = 40x - 60
6. Sammy is saving up to buy a PS5 plus. He has $40 and will save $40 per week. How long will it take Sammy to save the money if the PS5 plus costs $600?
11 weeks
12 weeks
13 weeks
14 weeks
7. Steph made $360 working 30 hours last week. Sam made $195 working 15 hours last week. Who made more per hour?
Steph
Sam
Answers
Answer:
B, A package costs $7 plus $4 per pound to ship. B, y = 2x - 2 B, y = -1/3x + 3 C, y = 2x + 1 B, y = 60x + 40 D, 14 weeks (600 = 40 + 40x)Sam, ($13hr)i hope this helps, good luck :)
A circle is drawn inside a square so its circumference touches each of the four sides of the
square. If the area of the circle is 125.8cm2 calculate the length of the sides of the square.
Answers
Answer:
12.66 cm
Step-by-step explanation:
Area of the circle = 125.8 Sq cm
[tex] \therefore \: \pi {r}^{2} = 125.8 \\ \\ \therefore \: 3.14 \times {r}^{2} = 125.8 \\ \\ {r}^{2} = \frac{125.8}{3.14} \\ \\ {r}^{2} = 40.0636943 \\ \\ {r} = \sqrt{40.0636943} \\ \\ r = 6.32958879 \\ \\ r \approx \: 6.33 \: cm \\ \\ d \: = 2r \\ \\ d = 2 \times 6.33 \\ \\ d = 12.66 \: cm \\ [/tex]
Diameter of the circle = 12.66 cm
Since, circumference of the circle touches each of the four sides of the square.
So, length of the sides of the square
= diameter of the circle.
= 12.66 cm
The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?
Answers
Answer: 45
Step-by-step explanation:
3(-2m + 5) -6(-4m - 2) =
-6m + 15 + 24m + 12=
18m + 27
18= a 27= b 27 + 18= 45
The value of the expression a + b is 45.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can simplify the expression using the distributive property:
3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12
Combining like terms, we get:
18m + 27
So, a = 18 and b = 27, which means:
a + b = 18 + 27 = 45
Therefore,
The value of a + b is 45.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
I NEED HELP REALLY FAST!!
Answers
- 5x + 9y = - 32
-5x - 3y = 4
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :)
How much sand is needed to fill a pit that
is 10m deep and 8m wide and 12m long?
Answers
Answer:
The answer is 960cm3
Step-by-step explanation:
you multiply all the numbers
Im a bit stuck on this problem
Answers
Answer:
f I I tough luck if it's if I've if it's if you've paid down let of us if just it ubos skits enough of others
Step-by-step explanation:
digital shall will also sorry soap sorry s goo form enough wish all so do all kelan kaso kaka kalakalorry root sorry for
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for t.
Answers
Answer:
10.99
Step-by-step explanation:
Your pretty much just multiplying the number by 3.14, so 3.5*3.14=10.99. Hope this helps!
Answer:
Answer B 11m
Step-by-step explanation:
solve the equation log2 x - 1/2 * log2 (x + 1) = 1
Answers
Answer:
0
Step-by-step explanation:
Please solve this!
20(b) < 80
Answers
Answer:
[tex]b<4[/tex]
Step-by-step explanation:
[tex]20b<80[/tex]
[tex]\frac{20b}{20}<\frac{80}{20}[/tex] (Divide both sides of the inequality by [tex]20[/tex] to get rid of [tex]b[/tex]'s coefficient)
[tex]b<4[/tex] (Simplify)
Hope this helps!
Use the drop-down menus to complete each statement.
Table A represents a _______
function.
Table B represents a _______
function.
Table C represents a _______
function.
Answers
Answer:
a:cubic
b:quadratic
c:linear
Step-by-step explanation:
Tables A, B, and C represent cubic, quadratic, and linear functions respectively.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
here,
In the question, 3 functions in tabulated form is given, we draw the function on the graph then we observe that,
Table A, shows the cubic function because the graph with an increase of x increase and decrease multiple times.
Table B, shows the quadratic function, is shows the curve as of the parabola.
Table C, shows the linear relationship, as it forms a line on the graph.
Thus, tables A, B, and C represent cubic, quadratic, and linear functions respectively.
Learn more about function here:
brainly.com/question/21145944
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2 1/6 x 4 1/2 Solve the problem AND explain your steps
Answers
Explanation: 13/6 x 9/2
(reduce) 13/2 x 3/2
(Multiply 13/2 x 3/2)
39/4
(Reduce again) 9 3/4 or 9.75
Hope this helps
Pass a brotha some help :(
Answers
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
Please I need helppppppp
Answers
Answer:
Step-by-step explanation:
The conversion factor is 454 grams / pound. That makes the answer D.
All of the answers have the right digits. It's the number of zeros that cause the problem.
Answer:
450 grams is the closest metric weight of 1 pound which in actuality is 453.592 gram.
