Find the perimeter of triangle ABC with vertices A(6, 3), B(6, - 2) , and C(- 4, 3) .

Answers

Answer 1

Answer:

26.2 units

Step-by-step explanation:

We are given the points/vertices

A(6, 3),

B(6, - 2) , and

C(- 4, 3)

Step two

Let us find the distances between the given points/vertices

A-B =A(6, 3) to B(6,-2)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6-6)²+(-2-3)²)

d=√(-2-3)²)

d=√(-5)²)

d=5 units

B-C=B(6, - 2) to C(-4, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((-4-6)²+(3+2)²)

d=√(-10)²+(5)²)

d=√100+25

d=√125

d=11.2 units

C-A=C(-4, 3) to A(6, 3)

d=√((x2-x1)²+(y2-y1)²)

Substitute

d=√((6+4)²+(3-3)²)

d=√(10)²

d=√100

d=10 units

Hence the perimeter is 5+11.2+10

P=26.2 units


Related Questions

Frank is going to plant y vegetable seeds in one garden and 2y + 10 vegetable seeds in another.
How many seeds is Frank going to plant?
Frank is going to plant blank seeds.

Answers

Answer:

[tex] 3y + 10 [/tex]

Step-by-step explanation:

The total number of seeds Frank will plant in both gardens all together would be:

[tex] y + 2y + 10 [/tex]

Add like terms together to simplify the expression

[tex] 3y + 10 [/tex]

Frank is going to plant [tex] 3y + 10 [/tex] seeds

What is the solution to the system of equations below?

Answers

Answer:

the answer is d

Step-by-step explanation:

Which situation is modeled by the graph? PLEASE HELP!

Answers

Answer:

Height of jump rope used over time.

Step-by-step explanation:The Height is stable and even so not an elevator as it goes to multiple floors not just one and is not used frequently after the same amount of time.Not the rest for the same reason.Jump rope as it can be uniform in height and time unlike the rest.

I believe it’s the first one

Which choices are common factors of the numerator and denominator of the
fraction below? Check all that apply.
6/24

A.2
B.12
C.3
D.4
E.1
F.6

I need help guys

Answers

Answer:

2, 3, 6, 1

Step-by-step explanation:

common factors of 6 are 1, 2, 3, 6

common factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

so both 6 and 24 have common factors of 1, 2, 3, 6

What is the equation of the line that goes through the points (-5,-1) and (5,5)?

ОА.

8

3

Y = gr

2

y

B.

x + 3

Ос.

y =

+2

0

D.

y =

= ft – 7

Answers

The answer is y = 3/5x + 2

Equation of the line that goes through the points (-5, -1) and (5, 5) is y =   [tex]\frac{3}{5}[/tex] x + 2.

What is Slope?

Slope of a line is defined as the tangent of the angle that the given line is making with the X axis.

Slope of a line is usually denoted by the letter 'm'.

m = tan θ, where θ is the angle.

Slope of a line passing through the points (x1, y1) and (x2, y2) is,

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

Here we have two points (-5, -1) and (5, 5)

m = (5 - -1) / (5 - -5) = 6 / 10 = 3/5

Equation of a line in point slope form is,

y - y₁ = m (x - x₁), where (x₁, y₁) is a point on the line.

We take a point (5, 5)

y - 5 = [tex]\frac{3}{5}[/tex] ( x - 5)

y - 5 =  [tex]\frac{3}{5}[/tex] (x) -  [tex]\frac{3}{5}[/tex] (5)

y - 5 =   [tex]\frac{3}{5}[/tex] (x) - 3

y =   [tex]\frac{3}{5}[/tex] x - 3 + 5

y =   [tex]\frac{3}{5}[/tex] x + 2

Hence the equation of the line passing through the points (-5, -1) and (5, 5) is y =   [tex]\frac{3}{5}[/tex] x + 2.

To learn more about Slope, click on the link:

https://brainly.com/question/3605446

#SPJ5

4x5:):):):):):):)free

Answers

Answer:

The answer is 20

Step-by-step explanation:

Can i have brainiest

Answer:

20! thank you for the free points I hope you're having a great day and enjoy the rest of your day and stay safe and make sure you don't get sick!

which equation is parallel to the line y= -5/7x - 7

Answers

Answer:

5x + 7y = -42

Step-by-step explanation:

This question will be a little easier to answer if we change the form of the original equation from slope intercept to standard form:

[tex]y=(-5/7)x-7\\(5/7)x+y=-7\\5x+7y=-49[/tex]

All parallel lines have the same slope, but what does that mean when our equation's in standard form. Well, slope only depends on the coefficients of the x and y terms, so any equation of a line in standard form with 5x + 7y on the left side will be parallel to the one in the problem. Looking through the possible choices, B. 5x + 7y = -42 is the only one that works.

Using desmos to check our work, we can see that the two lines are actually parallel!



You invested $12,000 and earned 7.5% interest, which was compunded continuously. If you had $23,568.40 at the end of the investment, how

long was the investment for?

Answers

Answer:

9 years

Step-by-step explanation:

Formula for continuous compounding is;

Total amount after the compounding period = P + P[(e^(rt)) - 1]

Where;

P = principal

r is interest rate

t is time period of compounding

We are given;

P = $12,000

Interest rate; r = 7.5% = 0.075

Time; t =?

Amount after investment; $23,568.40

Thus;

23568.40 = 12000(1 + [(e^(0.075t)) - 1])

(1 + [(e^(0.075t)) - 1]) = 23568.40/12000

[(e^(0.075t)) - 1] = (23568.40/12000) - 1

[(e^(0.075t)) - 1] = 0.964

(e^(0.075t)) = 1 + 0.964

(e^(0.075t)) = 1.964

0.075t = In 1.964

0.075t = 0.67498

t = 0.67498/0.075

t = 9 years

H(x)= -x^2+8 use (-6)

Answers

Answer:

H=44

Step-by-step explanation:

−(−62)+8=−(−36)+8=36+8=44

Answer:

-28

Step-by-step explanation:

-x^2+8

-(-6)^2 + 8 (-6 to the 2 power)

-36 + 8

-28

"The Kid Laroi"- Rapper-Songwriter

Elijah is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 2 points. What would be Elijah's test score (out of 100) if he got 8 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

84 points

y= 100-2x where y= total score (0 through 100) and x= # of questions wrong (0 through 50)

Step-by-step explanation:

100- 2(8) = y

100-16 = y

84=y

Since each question (x) is worth two points (2) we have to multiply each wrong question by two (2x). And then since we're deducting point from the possible points (100) we have to subtract (100-2x)

Answer:

Step-by-step explanation:

Louis is a pizza delivery driver. He made $72 in tips on Friday night, and earns an hourly wage of $4. Create an equation to represent his earnings.

Answers

Step-by-step explanation: The keyword is hourly. Since the keyword is hourly, the equation is division.

72 / 4

1. 4 goes into 7 once.

1a. 72 / 4 = 1

2. Now we multiply 4 by 1.

2a. 4 x 1 = 4

3. Now, we subtract 7 by 4.

3a. 7 - 4 = 3

4. Now bring down the 2.

4a. 3 = 32

5. Then you repeat the process!

We'll do the last one step-by-step!

1. 2 goes into 4, 8 times.

1a. 72 / 4 = 18

2. Multiply 8 by 4.

2a. 8 x 4 = 32

3. Lastly, subtract 32 by 32.

32 - 32 = 0

Therefore, your answer is 18 R0.

A leaf is falling from the top of a tree. The height of the leaf in feet, y, can be found using the function y = -3.5x + 28, where x is the time in seconds the leaf has been in the air. How many seconds did it take the leaf to reach the ground?​

Answers

Answer:

It took 8 seconds for the leaf to reach the ground.

Step-by-step explanation:

The height of the leaf in feet can be found using the function:

y = -3.5*x + 28

where x is the time in seconds the leaf has been in the air.

You want to know how long it took for the blade to reach the ground. That is, the time it took for the blade to reach a height of 0 feet. So, replacing this value in the expression:

0= -3.5*x + 28

and solving you get:

-28= -3.5*x

(-28)÷ (-3.5)=x

8=x

It took 8 seconds for the leaf to reach the ground.

which inequality shows the relationship between the plotted points on the number line ​

Answers

Answer:

I hope this help you!!! if it doesn't im sorry

a motorcycle travels 6 mph faster than a sport car. if the sports car can only go 90 miles in the same time that the motorcycle can go 99 miles, find speed of the motorcycle


the speed of the motorcycle is ...... miles per hour

Answers

Answer:

The speed of the motorcycle is 66 miles per hour.

Step-by-step explanation:

We use the following relation to build a system of equations.

[tex]v = \frac{d}{t}[/tex]

In which v is the velocity, d is the distance, and t is the time.

Car:

[tex]v_{c} = \frac{d_{c}}{t}[/tex]

We have that the car travels 90 miles, so [tex]d_c = 90[/tex]

Then

[tex]v_{c} = \frac{90}{t}[/tex]

[tex]t = \frac{90}{v_{c}}[/tex]

a motorcycle travels 6 mph faster than a sport car.

This means that [tex]v_m = 6 + v_{c}[/tex], so [tex]v_{c} = v_m - 6[/tex]

Travels 99 miles, so [tex]d_m = 99[/tex]

[tex]v_{m} = \frac{99}{t}[/tex]

Since [tex]t = \frac{90}{v_{c}}[/tex] and [tex]v_{c} = v_m - 6[/tex], we have that [tex]t = \frac{90}{v_{m} - 6}[/tex]

So

[tex]v_{c} = \frac{99}{t}[/tex]

[tex]v_{m} = \frac{99}{\frac{90}{v_{m} - 6}}[/tex]

[tex]v_m = \frac{99(v_{m} - 6)}{90}[/tex]

[tex]99(v_{m} - 6) = 90v_m[/tex]

[tex]99v_m - 594 = 90v_m[/tex]

[tex]9v_m = 594[/tex]

[tex]v_m = \frac{594}{9}[/tex]

[tex]v_m = 66[/tex]

The speed of the motorcycle is 66 miles per hour.

Pls help this is due in 15 minutes I’ll brainlest for the right answer

Answers

- increase

because 80 is greater than 50.

50 - 80

----------- = 30/50 = 0.6

  50

answer:

- the change is an increase by 60%

Answer:

increase of 60%

Step-by-step explanation

The change from 50 to 80 is an increase of 30

To calculate percentage increase

[tex]\frac{change}{original}[/tex] × 100%

= [tex]\frac{30}{50}[/tex] × 100%

= 60% increase

Solve for K 2(k - 5) + 3k = k + 6

Answers

Answer:

k = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

2(k - 5) + 3k = k + 6

Step 2: Solve for k

Distribute 2:                               2k - 10 + 3k = k + 6Combine like terms:                  5k - 10 = k + 6Subtract k on both sides:          4k - 10 = 6Add 10 on both sides:               4k = 16Divide 4 on both sides:             k = 4

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k:                    2(4 - 5) + 3(4) = 4 + 6(Parenthesis) Subtract:       2(-1) + 3(4) = 4 + 6Multiply:                               -2 + 12 = 4 + 6Add:                                     10 = 10

Here we see that 10 does indeed equal 10.

∴ k = 4 is the solution to the equation.

You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?

Answers

Answer:

Step-by-step explanation:

we know that 1 lb=16oz

16 oz almonds = costs 8 dollars , we divide the cost to oz

8/16=0.5 dollars / oz

4.10/0.5=8.2 oz

for 4.10 dollars you buy 8.2 oz

The difference of ten and a number

Answers

Answer:

Difference is the result of subtracting one number from another. ... So, difference is what is left of one number when subtracted from another. In a subtraction equation, there are three parts: The minuend (the number being subtracted from) The subtrahend (the number being subtracted)

Step-by-step explanation:

PLEASE HELP I WILL GIVE BRAINLIEST!!!

5. find the measure of each indicated angle show your work

Answers

Answer: a=126, b=134, c= 110, d=146, e=46

Step-by-step explanation:

so for a you take 180-54 and that gives you A

for b you take 33,70,and A(126) and add them together then subtratct by 360 and you get b for d you take 180-33 and get 146 for c you take 180-70 and get 110 and for e you take 180 - 134(B) and you get tha answer to e

What is area of circle that has circumference of 12pi

Answers

Answer:

36pi

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi.

Equation 1:
X-3 = 2-4x
Which of these have the same solution as Equation 1?
Explain your reasoning.
Equation A:
2x-6 = 4-8x
Equation B:
X-5 = -4x
I
Equation C
2(1-2x) = x-3
Equation D:
-3 = 2-5x

Answers

Answer:

since equation 1 says that X= 1

any other equation saying x=1 will be valid!

Equation A

Equation B

Equation C

Equation D

all correct

Find the solution for the system of the equation c=-t+2 and c=-4t-4

Answers

Answer:it’s a I think

Step-by-step explanation:

The PE teacher has a ratio of 3 girls to 2 boys in one of her classes. If there are 24 girls how many boys are there?
a.
12 boys
c.
32 boys
b.
16 boys
d.
20 boys

Answers

Answer:

16 boys

Step-by-step explanation:

Answer:

16 boys

Step-by-step explanation:

24 x 2 = 48

48/3 = 16

Please help im not smart at all lol

Answers

Answer:

1/2 ( 10x + 8 )

Step-by-step explanation:

first make sure everything in the parenthesis is addition. by doing this you make the 6 and 8x negatives. so it's 1/2 ( 13x + 5x + -6 + -8 + 14 ) then combine the numbers with the variable x so 13x + 5x + -8x = 10x . then the ones without variables -6 + 14 = 8. so 1/2 ( 10x + 8)

pls ANSWER if you actually know the answer​

Answers

No they are not equivalent

Answer:

The rate's aren't equivalent.

Step-by-step explanation:

If you find a common number of hours between the two expressions such as 24 hours you will see that the pay isn't the same. $24 for 6 hours of work ($4:1hr) can be turned into $96 for 24 hours of work and $36 hours for 8 hours of work ($4.5:1) turns into $108 for 24 hours of work.

The angle of elevation to an airplane viewed from the control tower at an airport is 15°. The tower is 100 feet high and Pilot Cory reports that the altitude of the airplane is 5100 feet (5000 feet higher than the control tower). How far away (ground distance) from the control tower is the airplane?

Answers

Answer:

Given: Angle of elevation 15°AB (height of tower)=100AE=?CE = 5100 (5000 feet heigher than the tower)

Now,

tan15°=

[tex] \frac{5100}{ae} [/tex]

ae=

[tex] \frac{5100}{tan15} [/tex]

.: ae = 19033.45

.: the aeroplane is 19033.45 m away from the control tower.

There are 26 letters in the English language and 24 in Korean. What is the ratio

Answers

Answer:

26:24

Step-by-step explanation:

is this what you mean

Answer:

Well the ratio fro English to Korean is

13:12 (simplified)

the ratio for Korean to English is

12:13 (simplified)

How much is 3/4 of four dozen​

Answers

Answer:

36

Step-by-step explanation:

Just add 12+12+12 or 12x3

Answer:

36

Step-by-step explanation:

bro if a dozen is 12 then add it 4 times it comes 48 then 3/4 is 36

1.
5.
A set of data consists of 3, 3, 6, 4, and 9. The
median for these data is
A.
6
B.
5
C. 3
D. 4

Answers

A 6 is the answer for your question on median

Cedric lives in an apartment and pays the following expenses each month: electric bill, $33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for the month by first rounding each value to the nearest tens place.

Answers

Answer:

Chyba 600,90zł

Step-by-step explanation:

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