Give triangle ABC with coordinates A(3, 8), B(9,0) and C(5,2). How can you prove that triangle ABC is isosceles? Show your work.

Answers

Answer 1

Answer:

The distances AB and BC are

52

and therefore isosceles.

Explanation:

If we label them A(13,-2) B(9-8) and C(5-2)

The distance between A and B:13⇒9=4−2⇒−8=42+62=52 so the distance is √52

The distance between B and c:9⇒5=4−8⇒−2=642+62=52

the distance is

52

The distance between A and C is 8 as they are both on -2 for

y

The distances AB and BC are

52

and therefore isosceles.Step-by-step explanation:


Related Questions

Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?

Answers

Answer:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

Step-by-step explanation:

Complex numbers:

The following relation is important for complex numbers:

[tex]i^2 = -1[/tex]

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Has zeros −19 and −i

If -i is a zero, its conjugate i is also a zero. So

[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]

Output of 40 when x=1

This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So

[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]

[tex]40 = a(20)(2)[/tex]

[tex]40a = 40[/tex]

[tex]a = 1[/tex]

The polynomial is:

[tex]f(x) = (x + 19)(x^2 + 1)[/tex]

What is the answer to this

Answers

Cos(theta)=a/h
Cos(theta)=12/13
Theta=cos^-1(12/13)
Theta=22.62 degrees

Hope it helps

Factor the following: 18X - 6

6 (3x - 1)
18 (x - 1)
9 (2x - 4)
I need the answer NOW

Answers

Answer:

Answer is 6(3x-1)

Step-by-step explanation:

I hope it's helpful!

For this cylinder the radius = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the surface area?Use 3.14 what is this answer

Answers

Answer:

896.784

Step-by-step explanation:

Comment if you want the explanation

Muriel says she has written a system of two linear
equations that has an infinite number of solutions. One
of the equations of the system is 3y = 2x - 9. Which
could be the other equation?

Answers

Answer:

The other equation could be: 6y = 4x - 18

Step-by-step explanation:

System with infinite number of solutions:

A linear system has an infinite number of solutions when one equation is a multiple of another.

One of the equations of the system is 3y = 2x - 9. Which could be the other equation?

A multiple of 3y = 2x - 9

Multiplying by 2, the other equation could be: 6y = 4x - 18

Answer:

B: y=2/3 x -3

Step-by-step explanation:

I got it right on Edge

What is the answer
How do you solve it

Answers

Answer:

-50y+(-80)

Step-by-step explanation:

The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)

Answers

Answer:

A, because A is the answer(I have my reasons) so A.

the parallelogram height is 1 and 1/2 times the base length and the base length is 6

Answers

are you asking to find the area

the sum of 2 fractions 8/9. the difference 2/9. what are the 2 fractions?​

Answers

Answer:

5/9 and 3/9

Step-by-step explanation:

run through the different possibilities and see what has a difference of 2/9th. Here is the way I ran through it

1/9 + 8/9 Difference is not 2/9th

2/9 + 6/9 Difference is not 2/9th

3/9 + 5/9 Difference is 2/9th. This is our answer

Step-by-step explanation:

5/9 and 3/9.....add 5/9 and 3/9 and you will get 8/9....if you subtract 5 and 3 it will give you 2....5/9-3/9=2/9

What is 5/8 divided by 1/4
001
001
00
100
001
00
001
IN
A
0 1

Answers

Answer:

Exact form: 5/2

Decimal form: 2.5

Mixed number form: 2 and 1/2

Step-by-step explanation:

when you divide a fraction you keep, change, flip

Equation: 5/8 ÷ 1/4

keep 5/8 the same

change the divide symbol into a multipulcation symbol

flip 1/4 the other way, so it's 4/1 (it's a whole number now)

then just multiply across

Equation now: 5/8 × 4/1

Alexis earns $50 a day for five days this week. Her weekly expenses are $280. How can she balance her budget?

a
increase her income $5 each day
b
increase her income $20 this week
c
decrease her expenses by $30
d
decrease her expenses by $20

Answers

Answer:

i think the answer is B

Step-by-step explanation:

Which expression is equal to x + (f+g)? (1 point)

Answers

Answer:

x + f(x) + g(x)

Step-by-step explanation:

(f+g) = f(x) + g(x)

Therefore, x + (f+g) = x + f(x) + g(x)

If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).

1. When observing the specimen, in which
part of the microscope will you place it?
A. base
B. stage
C. eyepiece D. inclination joint​

Answers

Answer:

b. the stage

Step-by-step explanation:

The stage typically has a stage clip on either side to hold the slide firmly in place.

slove this plzzz plzzz​

Answers

Answer:

an equilateral triangle have equal angles and equal sides.

so, side x and side bc are 12.

Answer:

It's going to be 12, so is the other size.

Step-by-step explanation:

You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D

Help me please I give brainliest and be serious

Answers

Answer:

15, y = 1/2x + 3.75

Step-by-step explanation:

Am not 100% sure but for #15

cuz I graphed it & it looks alike

Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.

Answers

Answer:

C

Step-by-step explanation:

The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer

Answers

Answer:

more information

Step-by-step explanation:

What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)

Answers

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

m=(13-5)/(6-2)

m=8/4

m=2

b=y-mx

b=5-2*2

b=5-4

b=1

y=2x+1

Answer:

y=2x+1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-5)/(6-2)

m=8/4

m=2

y-y1=m(x-x1)

y-5=2(x-2)

y-5=2x-4

y=2x-4+5

y=2x+1

What is an equation of the line that passes through the points (7,4) and (-5,4)

Answers

Answer:

y=4

Step-by-step explanation:

What is the area of the top AND bottom faces?

Answers

Answer:

Top : 24cm²

Bottom : 24cm²

Step-by-step explanation:

Surface area : Base × Height

Top :

3 × 8 = 24

Bottom :

3 × 8 = 24

PlEASE HELP ASAP!!!! USATEST PREP DUE TODAY!!!Please No Links!!!

Answers

okey no links here u go

Answer:

2

Step-by-step explanation:

[4^2/(-1+3)^3+2*10] / (10+1)

= [16/8+20] / 11

= 22/11

=2

Hope this helps :) Giving me brainiest would help a lot :))

-3z - z equivalent expression

Answers

-4z is equivalent. You’re moving further down the number line in the negative direction.

9.
A. 7
B. 15
C. 12
D

Answers

Answer: d=20?

Step-by-step explanation:

please help me solve this problem!!

Answers

Answer:

here's the link to the answer

Step-by-step explanation:

WWW.math.com/int.etg

What two numbers are exactly four units away from 6

Answers

Answer:

2 and 10

Step-by-step explanation:

6+4=10, and 6-4=2.

The number four units away from 6 are 2 and 10 and are represented below the number line.

What is a number line?

The number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given that,

Four units away from 6

Four units higher

6 + 4 = 10

Four units lower

6 - 4 = 2

In the below number line, it is shown diagrammatically.

Hence "The number four units away from 6 are 2 and 10 and are represented below the number line".

To learn more about the number line,

https://brainly.com/question/13189025

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Decide if the expression is positive or negative. Explain in words how you know, please.


11/-3 and -11/-3

Answers

Answer:

The expression is negative

Step-by-step explanation:

11/-3 is negative

-11/-3 is positive

negative + positive or positive + negative =  negative

Data from a representative sample were used to estimate that 31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money. You decide to conduct a survey to estimate this proportion for the current year. What is the required sample size if you want to estimate this proportion with a margin of error of 0.05

Answers

Answer:

The required sample size is 329.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

31% of all computer users in a recent year had tried to get on a Wi-Fi network that was not their own in order to save money.

This means that [tex]\pi = 0.31[/tex]

Confidence level is not given, so we assume 95%.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

What is the required sample size if you want to estimate this proportion with a margin of error of 0.05?

We need a sample size of n. n is found when M = 0.05. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.31*0.69}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96\sqrt{0.31*0.69}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.31*0.69}}{0.05}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.31*0.69}}{0.05})^2[/tex]

[tex]n = 328.6[/tex]

Rounding up

The required sample size is 329.

Need help please. What is the area of the shaded region. Thank you so much.

Answers

Answer:

[tex]Area = 8\ unit^2[/tex]

Step-by-step explanation:

Given

The 7 * 3 grid

Required

Determine the area of the shaded

From the grid, 4 cells on 2 rows were shaded.

Since 1 grid cell = 1 unit.

The area is:

[tex]Area = 4\ unit * 2\ unit[/tex]

[tex]Area = 8\ unit^2[/tex]

Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?

Answers

If jill collected 19 gallons equally between 7 jars it will 109

A coin is flipped and a die is rolled find the probability of getting a head on the coin and a 4 on the die​

Answers

Answer:

So for the head and tails one it is 1/1 chance of getting a head and for the dice on it is 1/21 that's the porbability hopes this helps :)

Step-by-step explanation:

Probability of getting a head on the coin and a 4 on the die​ is 0.083.

What is probability?

Probability defines the likelihood of occurrence of an event. Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes

According to the question

A coin is flipped and a die is rolled

Probability of getting a head on the coin and a 4 on the die​:

Total Number of favorable outcomes(coin is flipped) = {H, T}  = 2

Number of favorable outcomes (head) = 1

Total Number of favorable outcomes(die is rolled) = {1, 2, 3, 4, 5, 6}  = 6

Number of favorable outcomes (4 on the die) = 1

P(head) = [tex]\frac{1}{2}[/tex]

P(4) = [tex]\frac{1}{6}[/tex]

P(head and 4) = [tex]\frac{1}{2}[/tex]. [tex]\frac{1}{6}[/tex]

= [tex]\frac{1}{12}[/tex]

= 0.083

Hence, Probability of getting a head on the coin and a 4 on the die​ is 0.083.

Find out more information about Probability here

https://brainly.com/question/11234923

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