Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)

AB =
BC =
AC =

Number of congruent sides=

Then classify the triangle
Isosceles, scalene or equilateral

Answers

Answer 1

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]

[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]

well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.


Related Questions

Which of the following statements is most correct? Select one:
a. Other things equal, the higher the dividends, the lower the stock price.
b. Other things equal, the investment holding period does not affect the stock price.
c. Other things equal, the higher the required rate of return, the higher the stock price. d. Other things equal, the higher the dividend growth rate, the lower the stock price.
e. Other things equal, the lower the market value of debt, the lower the value of equity.

Answers

Answer:a

Step-by-step explanation:

the answer is a because it is

Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.

y= -x^2-10x-22

Answers

Answer:

vertex: (-5, 3)

Step-by-step explanation:

Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.

Method 1: Algebraic Solution

Given the quadratic equation, y = -x² - 10x - 22, where:

a = -1, b = -10, and c = -22.

Find the x-coordinate of the vertex:

In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].

[tex]x = \frac{-b}{2a}[/tex]

[tex]x = \frac{-(-10)}{2(-1)}[/tex]

[tex]x = \frac{10}{-2}[/tex]

x = -5

The x-coordinate of the vertex is: x = 5.

Find the y-coordinate of the vertex:

Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:

y = -x² - 10x - 22

y = -(-5)² - 10(-5) - 22

y = -25 + 50 - 22

y = 3

Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.  

One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows  the vertex as the maximum point.

Method 2: Graphing Calculator

If you have a graphing calculator (such as the Texas Instruments graphing calculator):

Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).

Please let me know if you have any questions or concerns regarding this post.

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

Left 3 down 4

Step-by-step explanation:

I'm not sure how to explain it, but I can give advice. A site that really helped me with this was Desmos Graphing Calculator.

Evaluate.


-1
(1/5) ⋅ 4^0




0

1

5

20

Answers

Answer:

the answer is 5 I think I hope

Find the sum of 8080,8928 and 7005

Answers

Answer:

80,815,933

Step-by-step explanation:

Write an explanation to help your friend understand why the expression 0.45x represents decreasing x by 55%.

Need the answer please and thank you!

Answers

Answer:

A variable is a letter that is used to represent a number. For instance, in this problem the variable x represents an unknown number that will equal 5 when added to 2.

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

x - (55/100)x = 0.45x

The decreasing x by 55% is 0.45x

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Decreasing x by 55%.

This can be written as,

= x - (55/100)x

= x - 0.55x

= 0.45x

Thus,

The decreasing x by 55% is 0.45x

Learn more about percentages here:

https://brainly.com/question/11403063

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help pls ill give brainly

Answers

Answer:

Find the Diameter!

To find the diameter, get the cirumference, divide it by 2, and multiply it by Pi (3.14)

For this certain equation, it appears the circumference is 13. 13/2 is 6.5. 6.5 times 3.14 is 20.41.

Answer:

I think the other guy is correct I'm just putting this here so you can give him/her brainliest

Step-by-step explanation:

A 6 pound bag of grass seed covers 7,000 square feet. How many pounds would be needed to cover 23,000 square feet?

Write answer as an integer or a reduced fraction.

Answers

Answer:

Step-by-step explanation:

You can setup a proportion as follows:

 

4 lb = 9000 ft2

x lb = 25000 ft2

 

Solve for x = 25000 ft2 x 4 lb / 9000 ft2 = 11.11 lb ~ 11 lb rounded to a whole number

Please help me I beg you I beg pms pls pls pls pls pls

Answers

no I just want points which is why I’m typing
X = 7, -1 I believe

What is the slope of the line that
passes through the points (-1, 3)
and (2, 10)?

Answers

Answer:

D  [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

For find the slope of whatever line we use the next formula:

[tex]m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So in our occasion we have:

[tex]y_2 = 10 \quad \text{and} \quad y_1 = 3\\x_2 = 2 \quad \text{and} \quad x_1 = -1[/tex]

Replacing in the equation:

[tex]\frac{10 - 3}{2 - (-1)} = \frac{7}{3}[/tex]

So the answer is [tex]\frac{7}{3}[/tex]

In a particular country, 3% of the population is HIV positive. A test for HIV correctly
diagnoses 95% of those who have the condition, but incorrectly diagnoses 4% of those
who are not HIV positive as being HIV positive. A patient obtains a positive test result,
apparently indicating the presence of HIV. Determine the probability that the patient
really is HIV positive.

Answers

Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient  really is HIV positive.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening

In this problem:

Event A: positive test.Event B: HIV positive.

The percentages involving a positive test are:

95% of 3%(positive)4% of 100 - 3 = 97%(not positive).

Hence:

[tex]P(A) = 0.95(0.03) + 0.04(0.97) = 0.0673[/tex]

The probability of both having a positive test and being HIV positive is:

[tex]P(A \cap B) = 0.95(0.03)[/tex]

Then, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.95(0.03)}{0.0673} = 0.4235[/tex]

0.4235 = 42.35% probability that the patient  really is HIV positive.

A similar problem is given at https://brainly.com/question/14398287

You are a prisoner sentenced to death. The emperor (who has sentenced you) offers you a chance to live by playing a simple game. He gives you 10 black marbles, 10 white marbles, and 2 empty bowls. He then says, "Divide these 20 marbles into these 2 bowls. You can divide them any way you like as long as you place all the marbles in the bowls. Then I will blindfold you, and ask you to choose a bowl, and remove ONE marble from that bowl you have chosen. You must leave the blindfold on the entire time, and must remove the first marble you touch. If the marble is white you will live, but if the marble is black, you will die."

————
Please help?

Answers

Answer:

YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE

Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think

12 x 12 x 12 = 4 x # x 4 what number must replace the '#' symbol​

Answers

Answer:

I'm pretty sure it's 108.

Step-by-step explanation:

12 x 12 x 12 = 1,728

4 x 4 = 16

1,728 ÷ 16 = 108

How to solve -2(x+2)^2=5 using the square root method.

Answers

Here it is I had to add a photo because I didn’t know how to rite it out but I hope this helps!

The total cost for tuition plus room and board at State University is $2737. Tuition costs $787 more than room and board. What is the tuition fee?
What is the cost of tuition?

Answers

Answer 1,950 because you must subtract, just look at the key words like “ more than “

The table below shows the earnings, in thousands of dollars, for three different commissioned employees.

Employee #1
$2,000 + 3% on all sales
Employee #2
7% on all sales
Employee #3
5% on the first $40,000 + 8% on anything over $40,000
December
4.4
5.6
5.2
January
3.5
3.85
3.6
February
4.7
4.9
4.4

Which employee did not have the same dollar amount in sales for the month of February as the other two employees?
a.
Employee #1.
b.
Employee #2
c.
Employee #3
d.
They each had the same dollar amount in sales.

Answers

The employee who did not have the same dollar amount in sales for the month of February as the other two employees is (a) Employee 1.

What is Percentage?

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Earnings of three employees in the month of February are :

Employee 1 = 4.7 = $4700

Employee 2 = 4.9 = $4900

Employee 3 = 4.4 = $4400

Earnings of employee 1 = $2,000 + 3% on all sales

Let the amount of all sales be x.

2000 + (3% x ) = 4700

2000 + 0.03x = 4700

0.03x = 2700

x = 90,000

Earnings of employee 2 = 7% on all sales

Let the amount of all sales be x.

0.07x = 4900

x = $70,000

Earnings of employee 3 = 5% on the first $40,000 + 8% on anything over $40,000

Let the amount of sales be 40,000 + x.

(0.05 × 40,000) + (0.08 x) = 4400

2000 + 0.08x = 4400

0.08x = 2400

x = $30,000

Amount of sales = $40,000 + $30,000 = $70,000

Hence employee 1 did not have the same amount as the other 2 in February.

Learn more about Percentage here :

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How to do question 1 ?​

Answers

Step-by-step explanation:

srry

Answer:

A

Step-by-step explanation:

I DID THE WORK IN MY HEAD

btw im 11

Form an equation to help you solve this problem Four identical lumps of gold on one side of some scales balance with one identical lump and a 22kg mass. Find the mass of one lump of gold. kg​

Answers

Answer:

equation= 4x=x+22kg

Step-by-step explanation:

i hope it helped :))

A desk is on sale for 15% off. The sale price is $612.
What is the regular price?

Answers

Answer:

$720

Step-by-step explanation:

Step 1: Set up the expression.

[tex]\frac{612}{1-0.15}[/tex]

Step 2: Simplify.

[tex]\frac{612}{0.85}[/tex]

Step 3: Convert 0.85 into a fraction.

[tex]612/ \frac{85}{100}[/tex] [tex]612/ \frac{17}{20}[/tex]

Step 4: Multiply 612 by reciprocal of 17/20.

[tex]612 * \frac{20}{17}[/tex] [tex]36 * 20[/tex] [tex]720[/tex]

Therefore, the regular price was $720.

What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?

Answers

Answer:

6.72

Step-by-step explanation:


6. Elena writes the equation 6x + 2y = 12. Write a new equation that has:
a. exactly one solution in common with Elena's equation
b. no solutions in common with Elena's equation
c. infinitely many solutions in common with Elena's equation

Answers

Answer:

2x ×2y=15. then solve for equation x and y

The sampling distribution of the ratio of two independent sample variances selected randomly from normal populations with equal variances is:

Answers

Answer:  F distribution. chi-square distribution. t distribution. normal distribution.

Step-by-step explanation:

A bottle is filled with 4oz of perfume. If 20% of the perfume evaporates, how many ounces remain?​

Answers

0.8 oz.
4x0.20=0.8
I hope this helps

Answer:

The answer will be:-  ( 0.8 oz ).

Can someone give more explanation

Answers

You just have to underline the word that connects two sentences .

for example: In number 2. Sophia ate a lot. She is still hungry. These are two sentences the word 'yet' connects two sentences. that is called conjunction.

1.= under line so

2.= under line yet

3.= under line but

4.= under line so

Progressions A person borrowed a sum of Rs. 3400 from his provident fund account on the condition to repay in 22 monthly installment of Rs. 150 and last installment of Rs. 100. Calculate the S.I. at the rate of 4.5% pa, which he , has to pay as the 24th installment?​

Answers

I am supposed to solve 1
question but I am solving four questions, Please try to
understand me and its my humble request to create
separate post for each question.

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 48. When x = 48, y = what.

Answers

Y might be 84. Considering 6*8=48, it would probably be the same with Y, so 14*6=84.

Hopefully this is correct but sorry if it isn't.

Determine the relationship between The two triangles on whether or not they can be proven to be congruent

Answers

Answer:

ASA congruence

Step-by-step explanation:

here two angles and in between side are equal for these two triangles

At a sale this week, a desk is being sold for $285.60. This is 34% of the original price.
What is the original price?

Answers

well, let's say the original price is "x", which namely 100% of the price of the product, we also know that 285.60 is 34% of that.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 285.60&34 \end{array}\implies \cfrac{x}{285.60}=\cfrac{100}{34}\implies \cfrac{x}{285.60}=\cfrac{50}{17} \\\\\\ 17x=14280\implies x = \cfrac{14280}{17}\implies x = 840[/tex]

Answ
Question
Dylan went to the toy store and
bought 3 action figures for $45.
How much did 1 action figure
cost?
*Use the dollar sign"
10
Using the information from
problem #9, write the equation.


What is the equation?

Answers

Answer:

15$

Step-by-step explanation:

45 ÷ 3 = 15

Show your work and write an expression using the following criteria:
1. A dividend greater than 1,000
2. The quotient is 58 with a remainder of 22

Answers

Answer:

This is correct explanation

Step-by-step explanation:

A dividend is a number we want to divide by another number. It's supposed to be greater than 1000.

Quotient - the integer result of division. Remainder - well, what remains.

9/4 = 2, with remainder 1.

You want to find a number greater than 1000, which, when divided by another number, results in 37, with a remainder of 4.

I would multiply 37 by an increasing number until we get a product greater than 1000. This number is the one you are dividing by. Now add 4 to the product, so that when the sum is divided by the number you found we'll get a remainder of 4.

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