please help For each set of distances below, decide if the three points are collinear or form a triangle, or are impossible.

2. AB = 12, BC = 5, AC = 13 *

20 points

impossible

form triangle

collinear

3. AB = 11, BC = 3, AC = 7 *

20 points

impossible

form triangle

collinear

4. AB = 5, BC = 6, AC = 2 *

20 points

impossible

form triangle

collinear

5. AB = 8, BC = 1, AC = 9 *

20 points

impossible

form triangle

collinear

Answers

Answer 1

form triangle

In order for the points to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 5 + 6 = 11 > 2, 5 + 2 = 7 > 6, and 6 + 2 = 8 > 5. Therefore, the points form a triangle.


Related Questions

The base of a rectangular prism has a length of 8m and a width of 4 m if the volume is 64 cubic meters , what is the height of the prism.

Answers

Answer:

2

Step-by-step explanation:

Because 8x4 is 32 and 32x2 is 64 so it’s 2

Find an equation equivalent to r = 10 sin theta rectangular coordinates.

Answers

We have been an equation in polar coordinates [tex]r=10\text{sin}(\theta)[/tex]. We are asked to write our equation in rectangular coordinates.  

We know that the equation [tex]r=2b\text{sin}(\theta)[/tex] is equation of a circle with a radius [tex]|b|[/tex] and center at [tex](0,b)[/tex].

Let us find the value of b.

[tex]2b\text{sin}(\theta)=10\text{sin}(\theta)[/tex]

[tex]\frac{2b\text{sin}(\theta)}{2\text{sin}(\theta)}=\frac{10\text{sin}(\theta)}{2\text{sin}(\theta)}[/tex]

[tex]b=5[/tex]

We know that equation of a circle in rectangular coordinates is [tex](x-h)^2+(y-k)^2=r^2[/tex]

Since [tex]b=5[/tex], so radius is 5 and center is at point (0,5).

[tex](x-0)^2+(y-5)^2=5^2[/tex]

[tex]x^2+(y-5)^2=25[/tex]

Therefore, our required equation would be [tex]x^2+(y-5)^2=25[/tex].

Answer:

x^2+y^2=10y

Step-by-step explanation:

d on edg


Jeff collected 100 baseball cards.
Thirty-three of the cards are Cincinnati Reds players, and 22 of them are Cleveland Indians.
Part A
What decimal represents the part of the cards that are Cincinnati Reds? can someone help me please​

Answers

Answer:

33/100 =.33

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:

The percentage of the Cincinnati Reds would be 33/100 which would be 33%. 33% as a decimal is 0.33.

Suzette is eating jelly beans. At one point, she counts 5 blue, 5 red, 7
yellow, and 8 green. What is the probability that the next jelly bean
she chooses, at random, is green?
Select one
8/25
1/5
8/24
8/17

Answers

8/17 I think I’m pretty sure it is

Please help with this inequality question!! I will give branliest to whoever answers!!

Answers

Answer:

Step-by-step explanation:

the first one

the second one

the third one

the last one

A rectangular ice skating rink is 85 feet wide by 200 feet long. Which of the following is the
area of the rink?

Answers

Answer:

17000

Step-by-step explanation:

85 x 200 = 17000

Answer:17000

Step-by-step explanation:200×85=17000

Length×Width

7) The best classification for 3i + 4i is:
a. Integer
b. Irrational Number
c. Imaginary Number
d. Complex Number

Answers

Answer:

C

Step-by-step explanation:

The i's next to each number indicate that they are imaginary

Answer:

c. Imaginary Number

Step-by-step explanation:

3i+4i = 7i

This is an imaginary number

Evaluate.

8 x 6 = (4 x 6) + ( ___ x 6)

= 24 + ___

= ___


Need answer ASAP.

Answers

Answer:

(4 x 6), 24+24, 48

Step-by-step explanation:

It has to equal 48 so you put 4 in the parenthesis.

Examine the system of equations.

y = –3x – 2,

y = 7

The value of x is .
The solution to this system of equations is .

Answers

Answer:

x = -3

(-3,7)

Step-by-step explanation:

y = –3x – 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = –3x – 2

Add 2 to each side

7+2 =  –3x – 2+2

9 = -3x

Divide each side by -3

9/-3 = -3x/-3

-3 = x

Final answer:

The value of x is -3, and the solution to the system of equations is the point (-3, 7), which satisfies both equations y =
–3x – 2 and y = 7.

Explanation:

To find the value of x when given the system of equations y =
–3x – 2, and y = 7, we can substitute the second equation into the first. This gives us 7 = –3x – 2. Adding 2 to both sides yields 9 = –3x, and then dividing both sides by -3 gives us x = -3. Hence, the value of x in this system of equations is -3.

The solution to the system of equations is the pair (x, y) that satisfies both equations simultaneously. Substituting x = -3 into one of the original equations, we get y = 7. Thus, the solution to the system is the point (-3, 7).

a) 40 degrees
b) 50 degrees
c)100 degrees
d) 39 degrees

Answers

Answer:

A) 40 Degrees

Step-by-step explanation:

angle EGD and angle DGC form a right angle, so subtract:

90-50= 40.

Answer:

D.) 30°

Step-by-step explanation:

∡AGB is vertical to ∡EGD, so they are congruent.

(I put this so you can give Kalehead the brainliest  :D)

can yall help me out really quick please​

Answers

Answer:

C

Step-by-step explanation:

just did the math

C. If is wrong sorry

PLEASE HELP!! S is the center of the circle. Suppose that JK=12, LK=12, NS=8, and PS= 2x - 6. Fine the following

Answers

Answer:

x = 7

LP = 6

Step-by-step explanation:

JK = 12

LK = 12

NS = 8

PS = 2x - 6

radius bisects the chords JK and LK  because it is perpendicular to them.

JK = JN + NK = 6 + 6 = 12

LK = LP + PK = 6 + 6 = 12

LP = 6

radius= root(6^2 + 8^2) = 10  then  PS = 8 = 2x -6,

8 = 2x - 6

14 = 2x

x = 7

A circle has a radius of 5 in. A central angle that measures 150° cuts off an arc.
Explain how to find the arc length exactly, and then approximate it to one decimal place.

Answers

Answer:

Part 1) The exact value of the arc length is \frac{25}{6}\pi \ in

Part 2) The approximate value of the arc length is 13.1\ in

Step-by-step explanation:

ind the circumference of the circle

The circumference of a circle is equal to

C=2\pi r

we have

r=5\ in

substitute

C=2\pi (5)

C=10\pi\ in

step 2

Find the exact value of the arc length by a central angle of 150 degrees

Remember that the circumference of a circle subtends a central angle of 360 degrees

by proportion

\frac{10\pi}{360} =\frac{x}{150}\\ \\x=10\pi *150/360\\ \\x=\frac{25}{6}\pi \ in

Find the approximate value of the arc length

To find the approximate value, assume

\pi =3.14

substitute

\frac{25}{6}(3.14)=13.1\ in

Can someone please help me with this math problem about angles?

Answers

Answer:

Step-by-step explanation:

Angle d is 62 degrees

Angle is 27 degrees

Angle h is 118 degrees

What is the second step in sketching the graph of a rational function?
A. Sketching the function's graph and plotting additional points as guides when needed
B. Using test numbers to find where the function is positive and where it is negative
C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number
D. Finding the function's zeros and vertical asymptotes and plotting them on a number line

Answers

Answer:

C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number

Step-by-step explanation:

Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.

In the question above, the given statement represents option C is correct.

Final answer:

The second step in sketching the graph of a rational function involves identifying and plotting the function's zeros and vertical asymptotes on a number line.

Explanation:

The second step in sketching the graph of a rational function is (D) Finding the function's zeros and vertical asymptotes and plotting them on a number line. This step is crucial before sketching the graph because it gives an initial outline of where the function will not be defined (vertical asymptotes) and where it crosses the x-axis (zeros of the function). After identifying these critical points, one can choose appropriate test numbers around each zero and asymptote to determine the behavior of the function in those regions, which can later aid in sketching the graph with more accuracy.

What is the measure of RST?

Answers

Answer:

D or 88 degrees

Step-by-step explanation:

Just took the test

A boat can travel 105 miles on 15 gallons of gasoline. How much gasoline will it need to go 140 miles?

90 gallons
980 gallons
20 gallons
35 gallons

Answers

Answer:

20 gallons

Step-by-step explanation:

105/15=7

7*20=140

20 gallons
First you have to find the ratio or unit rate so 105/15= 140/x x is the gasoline needed so when you cross multiply you get 2100/105x divide both sides by x and you get 20

I need help. Find the value of x

Answers

Answer:

8

Step-by-step explanation:

it's 8 because the sides facing each other equal

Answer:

x = 6

Step-by-step explanation:

In triangle ABC, BD is the bisector of angle ABD.

Therefore by angle bisector property:

[tex] \frac{x}{8} = \frac{3}{4} \\ x = \frac{8 \times 3}{4} \\ x = 2 \times 3 \\ \huge \red{ \boxed{ x = 6}}[/tex]

Please help fast! I will give brainliest to first correct answer!

Add.
(2x^2+6x=1)+(-7x^2+2x-3)

Answers

Look at the attached picture

Hope it will help u...

What is the slope of the line that goes through the following ordered pairs? (1,14) and (2,14)

Answers

Answer:

The slope is 0

Step-by-step explanation:

Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.

please i need help i have found nothing to this answer​

Answers

Answer: x = 3

Step-by-step explanation: This might not be the correct way to find the answer, but I hope this helps.

We have to try to figure out what (x) is...

6(4+1)+1 = 31 because 6 x 5 is 30 and + 1 is 31

6(5+1)+1 = 36 because 6 x 6 is 36 and + 1 is 37

6(2+1)+1 = 19 because 6 x 3 = 18 and + 1 is 19

All of these equations are wrong, none of them equal 25 besides...

6(3+1)+1

3+1=4

6x4=24

24+1

25

Have a good day :D

What is the answer? To this question

Answers

Answer:

D.

Step-by-step explanation:

Firstly, we must look at the absolute value symbol. This means that if d is positive, it must be a number greater than 3. If d is negative, the number must be less than -3 (for the absolute value to be greater than 3.)

This results in A and D being possible solutions. HOWEVER, we must look at the ">" symbol.

Notice how the symbol solely represents "Greater than", and not "Greater than OR equal to".

This means that the number line must have OPEN circles at -3 and 3. This will give you solution D.

what is 12.92÷10 but the 5 is on top of the ten

Answers

Answer:

I think It's 25.84

Step-by-step explanation:

? ? ?

1 4 7 One digit its right but in the wrong place

1 8 9 One Digit is right and in the right place

9 6 4 Two digits are correct but both in the wrong place

5 2 3 All Digits are wrong

2 8 6 one digit is right but in the wrong place

What are the Tree Numbers

Answers

Answer:

679.

Step-by-step explanation:

There is either a 1, 4 or 7 in the number.

From the second guess, 189, 1 cannot be in the number , either 8 or 9 are in right place. Also 4 or 7 are in the number.

9 6 4: 9 may be in the number, also 4 or 6.

No 2,3 or 5.

2 8 6  this tells us there is no 8 ,  and 9 is the last digit.

As there is no 2 there must be a 6 in the number

So the number contains a 9 and a 6.

The third number is either a 4 or a 7, but from the  964 result it cannot be a 4 because 6 is included.

So it either 679 or 769.

But 964 had 6  in the wrong place  so the number is 679.

I think the answer is 679 because you every numbers make sense except for 679.

-Dhruva;)

A mayor wants to determine if the people in his city think that he is doing a good job. Which choice BEST represents the population? A) Voters age 21 to 35. B) All the local business owners. C) The people who voted for him. D) All the residents of the city. Eliminate

Answers

Answer:

D- All the residents of the city.

Step-by-step explanation:

Answer:

D. All residents of the city.

Step-by-step explanation:

What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 1.45 x 10 pw11 the width is 2.9 x 10 pw5 pw is the power

Answers

Answer: The perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Step-by-step explanation:

Given: Area of rectangle = [tex]1.45 \times 10^{11}[/tex]

Width of rectangle = [tex]2.9 \times 10^{5}[/tex]

As we know area of a rectangle is given by

[tex]Area = Length \times Breadth[/tex]

So we have

[tex]1.45 \times 10^{11}= Length \times 2.9 \times 10^{5}\\\\\Rightarrow Length = \dfrac{1.45 \times 10^{11}}{2.9 \times 10^{5}} \\\\\Rightarrow Length = 0.5 \times 10^6 = 5 \times 10 ^5[/tex]

Now as we know

[tex]Perimeter = 2(Length +breadth)\\\\\[/tex]

Length = [tex]5 \times 10^5[/tex]

Breadth  = [tex]2.9 \times 10^{5}[/tex]

Therefore

[tex]Perimeter = 2(5 \times 10^5+ 2.9 \times 10^5)\\\\\Rightarrow Perimeter = 2\times 10^5(5+2.9)\\\\\Rightarrow Perimeter = 15.8 \times 10^5 = 1.58 \times 10^6[/tex]

Hence,the perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Answer:

1.58*10^6

Step-by-step explanation:

What is the solution to the linear equation? 2/3x -1/2 = 1/3 + 5/6x x = -5 x = -1/6 x = 1/6
х = 5

Answers

Answer:

when i simplified it on paper i got this but it has no solution

2(5/6)=27/6=-25=-5/6=1/6

Step-by-step explanation:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and
spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.
Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.
Which of the following statements are true?
Choose all answers that apply:
P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a
spade is equal to the probability that Ebru selects a 2.
PB A) = P(B), the conditional probability that Ebru selects a spade given that she has
chosen a 2 is equal to the probability that Ebru selects a spade.

Answers

Answer:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Step-by-step explanation:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Answers:

In photo below

Explanation:

I got it correct in my test :)

The table shows the scores of 10 students in Mr. Garcia’s 3rd period math class on their last 20-point quiz.


Name Quiz Score

Kelsey 18

Adam 12

Matthew 15

Maria 10

Victoria 13

Michael 20

Jessica 16

Anna 12

Brandon 18

Luis 6


What is the absolute deviation of Victoria’s quiz score from the mean?


A. 0 points


B. 2 points


C. −1 point


D. 1 point
Please give the right answer

Answers

Answer:

B. 2 points

(Approximately)

Step-by-step explanation:

The mean absolute deviation (MAD) is defined as

[tex]MAD=\frac{\Sigma |x_{i}-\mu| }{N}[/tex]

Where [tex]\mu[/tex] is the means and [tex]N[/tex] is the total number of elements.

First, we need to find the mean:

[tex]\mu = \frac{\Sigma x_{i} }{N} =\frac{18+12+15+10+13+20+16+12+18+6}{10}= \frac{140}{10}\\ \mu=14[/tex]

Then, we calculate the difference between each value and the mean, from that difference, we are gonna use the absolute value.

18 - 14 = |4|

12 - 14 = |-2|

15 - 14 = |-1|

10 - 14 = |-4|

13 - 14 = |-1|

20 - 14 = |6|

16 - 14 = |2|

12 - 14 = |-2|

18 - 14 = |4|

6 - 14 = |-8|

Now, we sum all terms and divide them by the total number of elements, which are 14.

[tex]MAD=\frac{4+2+1+4+1+6+2+2+4+8}{14}= \frac{34}{14}\\ MAD \approx 2.4[/tex]

Therefore, the absolute deviation is about 2 points. The right answer is B.

Write an equation of the line that passes through (0,3) and (4,2).

Answers

Answer:

y= [tex]\frac{-1}{4}[/tex]x+3

Step-by-step explanation:

To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:

m= [tex]\frac{y_{2-y_{1}} }{x_{2}-x_{1}}[/tex]

Now, we can plug these points in this equation.

m= [tex]\frac{2-3}{4-0}[/tex] --> m= [tex]\frac{-1}{4}[/tex] .

Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:

y= mx+b

------------

2= [tex]\frac{-1}{4}[/tex](4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -[tex]\frac{-1}{4}[/tex]x+3

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