The coordinates of the vertices of JKL are J(-5, -1), K(0, 1) , and L(2, -5). Which statement correctly describes whether JKL is a right triangle?

Answers

Answer 1

Answer:

It is NOT a right triangle.

Step-by-step explanation:

You must figure out the slopes of the segments of the triangle to see if it is a right triangle. If they are perpendicular (meaning the slopes are negative reciprocals of each other), they form a right angle, making it a right triangle.

[tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex] This formula finds slope using two points.


Let's figure out the slope of JK.

(-1-1)/(-5-0) = m

Simplify.

-2/-5 = m

A negative divided by a negative makes a positive.

2/5 = m

Now LK.

(-5-1)/(2-0) = m

Simplify.

-6/2 = m

Divide.

-3/1 = m

Now JL.

(-1+5)/(-5-2) = m

Simplify.

4/-3 = m

None of these slopes are negative reciprocals of each other, thus deeming it not a right triangle.


Related Questions

Reyesburg Corporation is contemplating using a new, more expensive glue in the construction of its laminated veneer lumber. Of importance to the company is the carrying load of the lumber. The company has tested 24 beams using the new glue, recording for each beam the pressure (in pounds per square foot) at which the beam breaks. The data collected are presented in the following histogram.

Answers

Answer:

The correct answer is 904.1 pounds per square foot

Step-by-step explanation:

(mcgraw)

which equation can be used to find the measure of angle LKJ?

Answers

Answer:

D

Step-by-step explanation:

use the sine ratio in the right triangle

sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{8.9}{10.9}[/tex], hence

x = [tex]sin^{-1}[/tex]( [tex]\frac{8.9}{10.9}[/tex] ) → D


Answer:

D

Step-by-step explanation:

Alonzo describes a histogram as having a cluster from 20–50, a frequency of 0 from 10–20, and a peak at 40–50. Which histogram is he describing?

Answers

Answer:

Skewed Left

Step-by-step explanation:

First we will try to draw the histogram in order to interpret its type.

Its given that from 10-20 the frequency is 0

and 20-50 there are clusters in the histogram but the peak is there at 40-50

So by visualizing the histogram which is hereby attached depicts that the histogram is skewed left as skewed histogram is one in which the frequency starts from 0 and the highest frequency occurs at the end so as is in the given problem.



Answer:

The first one.

Step-by-step explanation:

Write a number in which the value of the 3 is 10 times the value of the digit 3 in 156.32

Answers

Answer:

1563.2

Step-by-step explanation:

If you just multiply 0.3 by 10 you will get 3

Now all you need to do is write 3 or have a number which has unit place value of 3

Answer: The number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Step-by-step explanation:

The given number = 156.32

The place value of 3 in 156.32 is 3 tenth [since it the left most number after the decimal].

3 tenth can be written as [tex]\frac{3}{10}[/tex]

The number 10 times [tex]\frac{3}{10}[/tex]= [tex]10\times\frac{3}{10}[/tex]

Therefore, The number 10 times [tex]\frac{3}{10}[/tex]=3

Hence, the number in which the value of the 3 is 10 times the value of the digit 3 in 156.32 = 3

Solve using double substitution

y=2x+5
6x-3y=6

Answers

Substitute y = 2x + 5 to the second equation 6x - 3y = 6:

6x - 3(2x + 5) = 6             use distributive property

6x - (3)(2x) - (3)(5) = 6

6x - 6x - 15 = 6

-15 = 6    FALSE

Answer: NO SOLUTION

Simplify 14^15 over 14^5

A. 1^3
B. 1^10
C.14^3
D.14^10

Answers

Simply just subtract 5 from 15 to get 14^10, or D.


If f(x) = 8x^2 - 5 what is f(-1)

Answers

Answer:


Step-by-step explanation:

f(-1)=8(-1)^2-5

f(-1)=8(1)-5

f(-1)=8-5

f(-1)=3

Answer:

3

Step-by-step explanation:

In this problem you substitute x for -1

8(-1)^2-5

Solve for X in the equation below. Show your work.
HI! I REALLY NEEED HELP WITH THIS QUESTION PLEASE SHOW YOUR WORK IF YOU ARE WILLING TO HELP MEH! PLEASE HELP ME!
(x-2)= -1/4(x-8)

Answers

Answer:

x = 16/5

Step-by-step explanation:

(x-2)= -1/4(x-8)

Multiply each side by -4 to clear the fraction

-4 (x-2) = -4*-1/4 (x-8)

Distribute

-4x+8 = x-8

Add 4x to each side

-4x+4x+8 = x+4x-8

8 = 5x-8

Add 8 to each side

8+8 = 5x-8+8

16 = 5x

Divide each side by 5

16/5 = 5x/5

16/5 =x

Show all work 3(x-2)=3x-2
Determine whether the equation has one solution, no solution, or an infinite number of solutions Use words,numbers,and/or symbols to justify your answer

Answers

figure out 6x-6=-2 your gonna get a decimal

[tex]3x - 6 = 3x - 2 \\ 3x - 3x = - 2 + 6 \\ 0 = 4 \: ( \: nonsense) \\ no \: solution[/tex]

Juan has put together 325 pieces of a puzzle that has 500 pieces. He can put together 25 pieces every hour. How long will it take him to finish the puzzle?

Answers

For the rate of 25 pieces and hour it will take 7 hours.

500 - 325 = 175
175 ÷ 25 = 7
7 hours

Answer:The answer is 7 hours here is how I solved it. If it's out of 500 pieces and you've already done 325 then lets minus that so we only have to deal with the left over pieces. So 500- 325 which will give you 175 from there let's divide it by 25 to see how many hours it will take. Once you divide you will get 7 you can double check by doing 7 times 25 then add that to 325 to get 500 pieces.


Step-by-step explanation:


What does y=-1/2x-4

Answers

Answer:

[tex]y = -1/2x - 4[/tex]

From this, you can tell it's in slope-intercept form, has a slope of -1/2, and a y-intercept of -4.

I've included a picture of what this equation looks like.

Hope this helps

Remember what a standard form equation is. ⇩
Y= mx+ b
Know what this means for your equation⇩
M is the slope and b is the y intercept
Apply this to your equation ⇩
-1/2 is the slope and -4 is the y intercept
How to graph it?⇩
Start by plotting your first point on your y intercept of -4. Then apply rise/run. Since your equation is negative go up 1 and to the left 2. (negative goes to the left and positive to the right) Graph is put above

zola has 575 beads.She needs 32 beads to make a necklace.How many necklaces

Answers

Answer:

17

Step-by-step explanation:

575/32=17.96875 or 17

Answer:

17 necklaces

Step-by-step explanation:

32n=575

n=575/32

n=17.96

Round down to 17, can't make .96 of a necklace.

How many solutions does this system have?

x + 4y = 6
y = 2x - 3

a. one
b. two
c. an infinite number
d. no solution

Answers

There is only one solution to this system of equations.  The solution is where the two equations meet, which in this system is (2, 1).

Answer:

One Solution

Step-by-step explanation:

GOT IT RIGHT ON EDGE 2020

so i comeplete a table right ,

number of cuts | number of ballots
1 | 3
2| 9
3| 27
4| 81
5| 243

perhaps I continue this process , how many ballots will I have after 10 cuts ?

how many will I have after n cuts ?

Answers

Answer: The number of ballots increases by 3: 3x3=9, 9x3=27, 27x3=81...

After 10 cuts, there will be 59,049 ballots.


find the values for A and B that would make the equality true

-5(3x^2+5x+b)=ax^2-25x+45

Answers

Answer:

a = - 15 and b = - 9

Step-by-step explanation:

distribute the left side

- 15x² - 25x - 5b

For - 15x² - 25x - 5b = ax² - 25x + 45

Then the coefficients of like terms must be equal, hence

comparing coefficients of x² term ⇒ a = - 15

comparing constant term ⇒ - 5b = 45 ⇒ b = - 9



Answer: a = -15,   b = -9

Step-by-step explanation:

-5(3x² + 5x + b) = ax² - 25x + 45

-15x² - 25x - 5b = ax² - 25x + 45       distributed -5 on left side

Notice that the middle terms (-25x) are equal, so the the remaining terms will also be equal.

-15x² = ax²  ⇒  -15 = a

 -5b = 45   ⇒   b = -9

Can anyone help me with this question?

You don't need to help me with number 10 because i got it now help with the other's please.

Answers

Answer:

10)C 18,000

11) B 130.83

12)B or C not for sure

13) D the domain is 1 < f<7 the range is 24 < c(f)<168

Step-by-step explanation:


What’s 22.5 as a fraction in simplest form

Answers

Answer:

22.5% = 9/40 as a fraction

Step by Step Solution

To convert 22.5 percent to a fraction follow these steps:

Step 1: Write down the percent divided by 100 like this:

22.5% = 22.5/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 digit after the decimal point, we multiply both numerator and denominator by 10, or, simply shift 1 decimal place to the right. So,

22.5/100 = (22.5 x 10)/(100 x 10) = 225/1000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(225,1000) = 25. So,

(225÷25)/(1000÷25) = 9/40 when reduced to the simplest form.

Step-by-step explanation:


Answer:

9/4, or 2 1/4 is your answer

Step-by-step explanation:

Note that 22 is a whole number, and that 5 is a decimal.

Change the decimal into a fraction. To do so, move the decimal point to the right two place values and set the number over 100

22.5 = 225/100

Simplify.

(225/100)/(25/25) = 9/4

9/4, or 2 1/4 is your answer

~

Find the missing number of each unit rate

Answers

all you need to do is cross multiply for each one and then solve
[tex]21 = 7x[/tex]
and
[tex]16 = 4x[/tex]
then you solve which gives you 3 and 4 for your missing values

Answer:

3 and 4

Step-by-step explanation:

21/7 = x/1

x = 21/7*1 = 3

16/4 = y/1

y = 16/4*1 = 4

the perimeter is at least 18 feet. Write and solve inequality that represents x

Answers

5+3+3+3+x-2< (or equal to) 18

The inequality that represents x is [tex]$x \geq 6$[/tex]. This means that the total length of all the sides of the shape must be at least 6 feet.

Let's say the total length of all the sides of the shape is represented by the variable x. We are given that the perimeter is at least 18 feet.  This can be written as an inequality: [tex]$x \geq 18$[/tex]

Since the sides of the triangle measure 3 feet, 5 feet and x-2 feet, we can express the perimeter inequality in terms of x as: [tex]$x+ 3 + 5 +x-2 \geq 18$[/tex]

Simplifying the left side of the inequality, we get: [tex]$2x + 6 \geq 18$[/tex]

Subtracting 6 from both sides, we obtain: [tex]$2x \geq 12$[/tex]

Dividing both sides by 2, we get: [tex]x \geq 6$.[/tex]

Which expression is equivalent to x+x+x+x+2

Answers

Answer:

4x+2

Step-by-step explanation:


Answer:

4x + 2

Step-by-step explanation:

The given expression is x + x + x + x + 2

We can add the like terms.

The like terms are the terms having the same variable and the same exponents. The coefficients may vary.

For examples, 3x and -2x

2xy and 3xy

In the given expressions x, x, x, x are the like terms.

So, x + x + x+ x + 2

4x + 2

Therefore, the answer is 4x + 2

After changing its format, a radio station lost 34% of its listeners. If there were an estimated 83,000 listeners orginally, how many listeners does the radio station have now?

Answers

Final answer:

The radio station has 54,780 listeners now.

Explanation:

To find the number of listeners the radio station has now, we need to calculate the number of listeners it lost after changing its format. If the station lost 34% of its listeners, we can calculate the number of lost listeners by multiplying the original number of listeners by 0.34 (34%).

Lost Listeners = 83,000 * 0.34 = 28,220 listeners

To find the number of listeners the radio station has now, we subtract the lost listeners from the original number of listeners.

Number of Listeners Now = 83,000 - 28,220 = 54,780 listeners

In the triangle below which of the following is equivalent to the tangent of 52 degrees?

Answers

24/7 is the tangent in the triangle of 62 degrees. the formula for tangent is opposite/ adjacent in case u want to use it for future reference

Answer:

Option D. [tex]\frac{24}{7}[/tex].

Step-by-step explanation:

In any right angle triangle tangent of an angle is the ratio of opposite side and adjacent side.

tan x =[tex]\frac{\text{Opposite side (24)}}{\text{Adjacent side (7)}}[/tex]

        = [tex]\frac{24}{7}[/tex]

therefore, Option D. [tex]\frac{24}{7}[/tex] is the answer.

Alicia uses 3/4 gallon of paint to paint her room. Becca uses for 4/5 gallon more than Alicia to paint her room. How many gallons of paint do they use together

Answers

Answer:

23/10 gallons

Step-by-step explanation:

Alicia uses 3/4 gallon of paint to paint her room.

Alicia use = 3/4 gallon of paint

Becca uses for 4/5 gallon more than Alicia to paint her room.

Becca uses = Alicia (3/4 gallons ) + 4/5

Becca uses = [tex]\frac{3}{4} + \frac{4}{5}[/tex]

Total paint used together = Aliccia used + Becca used

[tex]\frac{3}{4}+\frac{3}{4} + \frac{4}{5}[/tex]

Add like fractions 3/4 + 3/4 becomes 6/4

[tex]\frac{6}{4} + \frac{4}{5}[/tex]

Make the denominators same

[tex]\frac{6*5}{4*5} + \frac{4*4}{5*4}[/tex]

[tex]\frac{30}{20} + \frac{16}{20}[/tex]

[tex]\frac{46}{20}[/tex]

Divide top and bottom by 2

[tex]\frac{23}{10}[/tex] gallons



The box plot shows the data distributions for the number of laps two students run around a track each day

Answers

Answer:

C. The range of Liam's data set is 16

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected  (See below question), as well as the box plot should be uploaded (See attached the image of the box plot I uploaded for you).  

Q. The box plots show the data distributions for the number of laps two students run around a track each day. Which statement is true about the data?

Options:

A. The median of both data sets is 10.

B. The median of both data sets is 14.

C. The range of Liam’s data set is 16.

D. The range of Sumat’s data set is 17.

If this is the case, then the box plot shows the following data.

The median of Liam's data is 10, the range is (20-4) =16

The median of Sumat's data is 14, the range is (22-3) =19

The correct answer will therefore be:

C. The range of Liam's data set is 16  


Can you answer this:

The box plots show the data distributions for the number of laps two students run around a track each day.

Which statement is true about the data?

The difference between the medians of both data sets is 2.

The difference between the medians of both data sets is 4.

The difference between the ranges of both data sets is 2.

The difference between the ranges of both data sets is 4

Man can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. She can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. How much does one box of crackers cost?

Answers

Answer:

one box of crackers costs $0.70

Step-by-step explanation:

Let $x be the price of 1 container of yogurt and $y be the price of 1 box of crackers.

1. Man can buy 4 containers of yogurt and 3 boxes of crackers for $9.55. 4 containers of yogurt cost $4x and 3 boxes of crackers cost $3y. In total,

[tex]3x+4y=9.55.[/tex]

2. Man can buy 2 containers of yogurt and 2 boxes of crackers for $5.90. 2 containers of yogurt cost $2x and 2 boxes of crackers cost $2y. In total,

[tex]2x+2y=5.90.[/tex]

3. Solve the system of two equations:

[tex]\left\{\begin{array}{l}3x+4y=9.55\\2x+2y=5.90\end{array}\right.[/tex]

Multiply the second equation by 2 and subtract it from the first equation:

[tex]3x+4y-2(2x+2y)=9.55-5.90\cdot 2,\\ \\3x+4y-4x-4y=9.55-11.80,\\ \\-x=-2.25,\\ \\x=\$2.25.[/tex]

Then

[tex]2\cdot 2.25+2y=5.90,\\ \\2y=5.90-4.50,\\ \\2y=1.40,\\ \\y=\$0.70[/tex]

By setting up a system of equations and using elimination, we find that one box of crackers costs $2.25.

To solve the cost of one box of crackers, we need to set up two equations based on the information given:

4y + 3c = $9.552y + 2c = $5.90

We use 'y' to represent the cost of one container of yogurt and 'c' for the cost of one box of crackers. To find the value of 'c', we can use substitution or elimination.

Let's eliminate 'y' by multiplying the second equation by 2, which gives us 4y + 4c = $11.80. Subtracting the first equation from this, we get:

c = $11.80 - $9.55

c = $2.25

So, one box of crackers costs $2.25.

Solve. 2/3x = -20. A) -60 B) -30 C) -10 D) 10

Answers

Simplify 2/3x to 2x/3

2x/3 = -20

Multiply both sides by 3

2x = -20 × 3

Simplify 20 × 3 to 60

2x = -60

Divide both sides by 2

x = -60/2

Simplify 60/2 to 30

x = -30

Answer: B) -30

Answer:

the answer to you question is -30

Step-by-step explanation:

what you have to do is take the fraction and multiply it by its reciprocal to get it away from the x and if you multiply on one side then you have to multiply on the other side also so you would multiply -20 by 3/2 the you would get the answer of -30

Hope this helps!!!:) can I get the Brainliest?

I’m doing the Pythagorean Theron in math class an I’m stuck on this question - the base path of a base ball diamond form a square.if it is 90 feet from home to first how far does the catcher have to through to catch someone stealing second base

Answers

check the picture below.

I could really use some help with these 4 problems. Any help will be greatly appreciated!

Answers

(7) is the same problem with different numbers as (4) in another question you posted: https://brainly.com/question/11799042

(8) is not correct. [tex]\mathbf u\cdot\mathbf v=(12)(-15)+(4)(-5)=-200[/tex]

(9) is not correct. The direction of the vector [tex]\langle3,4\rangle[/tex] is [tex]\theta[/tex] where

[tex]\tan\theta=\dfrac34\implies\theta=\tan^{-1}\dfrac34[/tex]

so the applied force is the vector

[tex]\mathbf F=\langle14\cos\theta,14\sin\theta\rangle=\langle11.2,8.4\rangle[/tex]

(if you're not sure how to compute the (co)sine of the inverse-tangent expression, note that a tangent of 3/4 corresponds to a right triangle with hypotenuse 5)

The object is moved 7 ft in the same direction as [tex]\mathbf F[/tex], so that its displacement is given by the vector

[tex]\mathbf d=\langle7\cos\theta,7\sin\theta\rangle=\langle5.6,4.2\rangle[/tex]

Then the work done on the object is the dot product of these two vectors,

[tex]W=\mathbf F\cdot\mathbf d=(11.2)(5.6)+(8.4)(4.2)=98\approx97[/tex]

(the discrepancy here might be coming from finding a numerical value for [tex]\theta[/tex])

(10) is correct. We can find a unit vector pointing in the direction of any vector [tex]\mathbf v[/tex] by dividing [tex]\mathbf v[/tex] by its magnitude:

[tex]\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\frac23\,\mathbf i-\frac12\,\mathbf j}{\sqrt{\left(\frac23\right)^2+\left(-\frac12\right)^2}}=\dfrac45\,\mathbf i-\dfrac35\,\mathbf j[/tex]

What is the answer ?

Answers

Answer:

2y

Step-by-step explanation:

Simplifying

21x + -42y = 0

Solving

21x + -42y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42y' to each side of the equation.

21x + -42y + 42y = 0 + 42y

Combine like terms: -42y + 42y = 0

21x + 0 = 0 + 42y

21x = 0 + 42y

Remove the zero:

21x = 42y

Divide each side by '21'.

x = 2y

Simplifying

x = 2y

Can someone show me what I need to do here

Answers

Answer:

A) 25/75

C) 1/3

F) 0.3333333(repeated decimal)

Step-by-step explanation:

He started out with 75 planners, and has 25 planners left, meaning he have 25/75 (or 1/3) of the planners left.

25/75 = 1/3 = 0.333333(repeated decimal)


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