Which of the following statements about JK and JL is true?
A. JK is longer than JL
B. JK and JL are the same length
C. JL is longer than JK
JK IS 9 units long
Answers
Answer:
jk is longer than jl
Step-by-step explanation:
The distance between J and L is more than J and K hence, the correct option will be (A).
How to find the distance between any two points?
To find the distance between any two points first assign any one point by (1) whose coordinates will be (x₁, y₁) and assign the remaining point with (2) whose coordinates will be (x₂,y₂).
Now, use the below formula to find out the distance
[tex]\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}[/tex]
Let's assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign L by (2) whose coordinate (1,-1) work like (x₂,y₂).
Now by the distance formula, the distance JL is
⇒ [tex]\sqrt{(1-2)^2 +(-1-4)^2}[/tex]
⇒ [tex]\sqrt{(-1)^2+(-5)^2}[/tex]
⇒ [tex]\sqrt{26[/tex] = 2.236
Now again assign J by (1) whose coordinate (2,4) work like (x₁,y₁) and assign K by (2) whose coordinate (7,-8) work like (x₂,y₂).
Now by the distance formula, the distance JK is
⇒ [tex]\sqrt{(7-2)^2 +(8-4)^2}[/tex]
⇒ [tex]\sqrt{(5)^2 +(4)^2}[/tex]
⇒[tex]\sqrt{(41)}[/tex] = 6.403
Hence, it's clear that the JK is longer than JL.
For more information about the distance formula
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Related Questions
find the area of the shaded portion the one who answer first will get brainliest
Answers
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) × [tex]\frac{60}{360}[/tex] ( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) × [tex]\frac{1}{6}[/tex]
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )
Answer:
[tex]A_s=76.97\ cm^2[/tex]
Step-by-step explanation:
Circular Sector
It's the portion of a circle enclosed by two radii and an arc. The area of a sector is calculated as follows:
[tex]\displaystyle A=\frac {r^{2}\theta }{2}[/tex]
Where r is the radius and θ is the central angle expressed in radians. The central angle will be converted to radians:
[tex]\theta=60*\frac{\pi}{180}=1.0472\ rad[/tex]
The shaded region in the figure can be obtained by subtracting the smaller sector A2 area from the larger sector area A1:
[tex]A_s=A_1-A_2[/tex]
The larger area is calculated with a radius of r1=14 cm:
[tex]\displaystyle A_1=\frac {14^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_1=102.626\ cm^2[/tex]
The smaller area is calculated with r2=7 cm:
[tex]\displaystyle A_2=\frac {7^{2}*1.0472 }{2}[/tex]
[tex]\displaystyle A_2=25.656\ cm^2[/tex]
The shaded area is:
[tex]A_s=102.626\ cm^2-25.656\ cm^2[/tex]
[tex]\boxed{A_s=76.97\ cm^2}[/tex]
Mr James spent $62.60 ordering sandwiches for his staff he tipped the delivery driver 20% how much did he spent altogether.
Answers
Answer:
He spend 75.12
Step-by-step explanation:
First determine the amount of the tip
62.60 * 20%
62.60 *.20
12.52
Add this to the cost of the sandwiches
62.60+ 12.52
75.12
Answer:
He spent 75.12! hope this helps :)
Step-by-step explanation:
Find the GCF of 20m and 45.
Answers
Answer:
5
Step-by-step explanation:
20/5=4
45/5=9
cant simplify farther
Answer:
the answer is 5.
Step-by-step explanation:
Factors for 20: 1, 2, 4, 5, 10, and 20.
Factors for 45: 1, 3, 5, 9, 15, and 45.
Same numbers is 5.
the answer is 5.
Shawn earned 5% commission on a $500 sale. How much did he earn
Answers
Answer:
$25
Step-by-step explanation:
5% of 500 = 0.05 × 500 = 25
Answer:
25$
Step-by-step explanation:
500*.05=25
Hope this helps :0
Jada and Alexandra sell spices at the marketplace. They each charge a constant price per kilogram of spices.
Jada has weekly expenses of \$200$200dollar sign, 200. She covers her expenses and makes a profit of \$280$280dollar sign, 280 for selling 808080 kilograms of spices.
The graph of Alexandra's weekly profit (in dollars) as a function of the amount of spices sold (in kilograms) is shown below.
Who has greater weekly expenses?
Answers
Answer:
Alexandram has greater weekly expenses
They charge the same price
Step-by-step explanation:
I got this answer for khan academy!
Answer:
Alexandram
They charge the same price
Step-by-step explanation:
Pls show workings it due in a hour
Answers
Answer:
The inequality describes all possible value of x is 14 < x < 32 ⇒ D
Step-by-step explanation:
In any triangle:
The sum of the lengths of any two sides must be greater than the length of the 3rd sideThe length of any side must greater than the difference of the lengths of the other two sidesThe difference of the other sides < The side < The sum of the other sidesIn the given figure
∵ ABC is a triangle
∵ AC = 9 and BC = 21
∵ AB is the third side of the triangle
→ By using the rules above
∴ BC - AC < AB < BC + AC
∵ AB = x - 2
→ Substitute their values in the inequality above
∵ 21 - 9 < x - 2 < 21 + 9
∴ 12 < x - 2 < 30
→ Add 2 to the 3 terms
∴ 12 + 2 < x - 2 + 2 < 30 + 2
∴ 14 < x < 32
∴ The inequality describes all possible value of x is 14 < x < 32
At Martin Luther King Jr. High School 7 out of 9 students voted to plant trees at the front of the school. A total of 119 voted to plant the trees. How many students voted?
A. 153
B. 272
C. 128
D. 135
Answers
Answer:
A
Step-by-step explanation:
If 7 out of 9 voted to plant, that means 2 voted against
so the ratio we are looking at here for vote for and vote against is 7:2
So let the total that voted be x
7/9 * x = 119
x = (9 * 119)/7
x = 153
Hellooooo can sumbody answer this?
Answers
Answer:
D
Step-by-step explanation:
y=-x-4
First, we can match the graphs with the y-intercept of -4 given from the equation.
Only graphs C and D crosses the y-axis at -4.
The slope from the equation is -1.
If the slope is a negative number, the line should be negative as well, meaning the line should be going downwards (left to right always)
Out of graphs C and D, only graph D has a line going downwards and a y-intercept of -4.
Hope I was able to help! Good Luck!
Triangle ABC is similar to triangle DEF What are the lengths of sides DF and EF ?
Answers
Answer:
A)
Side DF=3
Side EF=6/5
Bye
The values of DF and EF are 3 and 6/5 respectively. (option A)
What are similar triangles?When two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
Given that, Δ ABC ~ Δ DEF
The proportion = AB/DE = BC/EF = AC/DF = 5/3
2/EF = 5/3
EF = 6/5
5/DF = 5/3
DF = 3
Hence, The values of DF and EF are 3 and 6/5 respectively. (option A)
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What is the slope of y = -4x - 3
Answers
Answer:
-4
Step-by-step explanation:
Answer:s
slope of -4x-3: m=-4
A ball dropped from the roof of a 120 foot high building took 4 seconds to reach the ground. What was the average speed of the ball during its fall?
A
480 feet per second
B
124 feet per second
C
30 feet per second
D
130 feet per second
Answers
Answer:
answer is C
average speed=distance÷time=120÷4=30
please help with this. i need your help please ;)
Answers
Answer:
b
Step-by-step explanation:
becuse
Answer:
top right
Step-by-step explanation:
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back. Function represents Amy's total time spent hiking,
and x represents amy's hiking speed in miles/hour
Answers
It is the time it takes Amy to hike to the waterfall.
The term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
What is speed?"It is defined as the distance traveled per unit times."
What is relation?"It defines a relation between input values and output values."
For given example,
Amy hikes 6 miles from a ranger station to a waterfall and back again. She hikes 1 mile/hour faster on the way back.
we have been given a function [tex]T(x)=\frac{6}{x}+\frac{6}{x+1}[/tex]
This function represents Amy's total time spent hiking,
and x represents Amy's hiking speed in miles/hour.
Let 't' be the time required to reach Amy from ranger hills to a waterfall.
As 'x' represents Amy's hiking speed in miles/hour and Amy hikes 6 miles from a ranger station to a waterfall.
Using the formula of speed,
⇒ x = 6/t
⇒ t = 6/x
Therefore, the term [tex]\frac{6}{x}[/tex] describes the time it takes Amy to hike to the waterfall.
The correct answer is an option (C)
Learn more about the speed here:
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p/5 = 10 what is p
It is for a late assignment!!! I have so many late assignments. I feel like crying.
sorry to many emotions.
Answers
Answer:
50
Step-by-step explanation:
p/5=10
Your main goal is to isolate p
p/5 = 10, in order to eliminate the 5, multiply 5 on both sides, since it's the inverse of division.
(5)p/5 = 10(5)
p=50
Which systems of equations intersect at point A in this graph?
Answers
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Step-by-step explanation:
Given the point
A (-2, 1)Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Arrange equation variable for elimination
[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]
so
[tex]y+3x=-5[/tex]
[tex]-[/tex]
[tex]\underline{y-4x=9}[/tex]
[tex]7x=-14[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]
Solve 7x = -14 for x
[tex]7x=-14[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]
Simplify
[tex]x = -2[/tex]
For y - 4x = 9 plug in x = 2
[tex]y-4\left(-2\right)=9[/tex]
[tex]y+4\cdot \:2=9[/tex]
[tex]y+8=9[/tex]
Subtract 8 from both sides
[tex]y+8-8=9-8[/tex]
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Help as quick as possible plz :(
Answers
Explanation: well at 0 weeks it’s 6 pounds so that explains the “+6” and I don’t exactly know hot to explain the first part
BRAINLIEST!URGENT! Please help if you can. If you know the answer, please leave an explanation and I will mark you brainliest!
Answers
If n is negative, the parabola opens downward and the vertex is the maximum.
The given equation has the values h = 3, k = a, and n = −1.
Therefore, the vertex of the parabola is (3, a) and the parabola opens downward.
Thus, the parabola’s maximum occurs at (3, a)
Ans D
If Sadie takes 1 marble from her bag
without looking, which statement about
Sadie's marble is true?
Answers
BbbbbbbbbbbbbbbbbbbbBBBBbbbBbbbBbbbBbb
5 puonds of grapes cost 9.35 how much would 2 pounds cost
Answers
Answer:
$3.74
Step-by-step explanation:
5 pounds is 9.35 means 1 pound is 1.87 dollars
2 pounds is 3.74 dollars
The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405
What is DjDan's hourly rate?
Answers
Answer:
$80
Step-by-step explanation:
DJ Dan's hourly rate will be $80.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.
Assume that the hourly rate is $[x]. Than, we can write -
3.5x + 125 = 405
3.5x = 405 - 125
3.5x = 280
x = (280/3.5)
x = 80
Therefore, DJ Dan's hourly rate will be $80.
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A regional airport, community college, and city hall building are located at the vertices
of a right triangle formed by three roads. The airport and the city hall are 10 miles apart.
The distance between the airport and the community college is 8 miles, and the distance
between the city hall and the community college is 6 miles,
A service road will be constructed from the main entrance of the community college to
the road that connects the airport and the city hall. What is the shortest possible length
for the service road Round your answer to the nearest tenth,
Answers
Answer:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
Find the slope and the y-intercept of the line.
5x - 4y= -8
Write your answers in simplest form.
Answers
Answer: The slope is 5/4 and the y intercept will be 2
Step-by-step explanation:
First convert the equation to slope intercept form ( y = mx+b) where m will be the slope and b will be the y intercept.
5x - 4y = -8 Subtract 5x from both sides
-5x -5x
-4y = -5x - 8 Divide both sides by -5
y = 5/4x + 2
WHAT IS O/O PLS ANSWER
Answers
Answer:
Its 0
Step-by-step explanation:ur not smart if u dont know that
What are the next three terms of the geometric sequence 32, -16, 8, …?
Answers
Answer:
-4, 2, -1
Step-by-step explanation:
everything is being multiplied by -1/2
32 × -1/2 = -16
-16 × -1/2 = 8
So 8 × -1/2 = -4
PLS HELP NEW THIS QUICK!!!
Answers
Answer:
Option C
Step-by-step explanation:
[tex]3\frac{1}{5} \times 2\frac{1}{5}[/tex]
Lets convert it into improper fraction.
[tex]\frac{16}{5} \times \frac{11}{5} = \frac{16 \times 11}{5 \times 5} = \frac{176}{25}[/tex]
Lets convert [tex]\frac{176}{25}[/tex] into a mixed fraction.
[tex]=> \frac{176}{25} = 7\frac{1}{25} = 7.04[/tex]
Rounding off 7.04 gives 7 and rounding 7 further gives 10.
So , the estimate of the product is 10
A relation is given below.
{(0, 0), (2, 0.5), (4, 1), (3, 1,5), (4, 2), (5, 1.5), (6, 8)}
Which ordered pair can be removed to make this relation a function?
Why would removing this ordered pair make the relation a function?
Answers
The input and output values cannot be the same.
Hope this helps!
plssss helpppp.i need itt nowww
Answers
Answer:
cant see from the light retake the photo
Step-by-step explanation:
We learnt this way in Turkey.
(20 x 1) + ((20-1) x 2) + (20-2)
Answers
Is 76
Yas!!!
Answer:
76 is the answer :)
HELP PLEASEEEEEEEEEEEEE
A cruise ship can travel at a constant speed of 24 miles per hour. Approximately how many days will it take for the cruise ship to travel 1,200 miles?
Answers
9514 1404 393
Answer:
2 1/12 days
Step-by-step explanation:
Time is the ratio of distance to speed.
(1200 mi)/(24 mi/h) × (1 day)/(24 h) = 25/12 day = 2 1/12 days
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.
Answers
Complete question :
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.
Answer:
44°
Step-by-step explanation:
From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 30 / 30
Tanθ = 1
θ = tan^-1(1)
θ = 45°
Hence, bearing of B from C is 45°