Find the perimeter of the triangle whose vertices are (−4,4), (−4,1), and (−8,−4). Write the exact answer. Do not round.

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units

How to determine the perimeter?

The coordinates are given as:

(−4,4), (−4,1), and (−8,−4).

Calculate the distance between the vertices using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-4 + 4)^2 + (4-1)^2} = 3[/tex]

[tex]BC = \sqrt{(-4 + 8)^2 + (1+4)^2} = \sqrt{41[/tex]

[tex]AC = \sqrt{(-4 + 8)^2 + (4+4)^2} = \sqrt{80[/tex]

The perimeter is the sum of the side lengths.

So, we have:

[tex]P = 3 + \sqrt{41} + \sqrt{80}[/tex]

Expand

[tex]P = 3 + \sqrt{41} + 4\sqrt{5}[/tex]

Hence, the perimeter of the triangle is [tex]3 + \sqrt{41} + 5\sqrt{5}[/tex] units

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Related Questions

8) Cashews cost $8.90 per pound. If Austin buys 2.45 pounds of cashews, what is the total cost?
Round to the nearest.cent.
$

Answers

Answer:

9.00 and 2.00

Step-by-step explanation:

8.90 rounds to  9.00 because 8.90 is more than more then 0.50 so it makes the cents round to the nearest cent. 2.45 round to 2.00 because 2.45 is less than 0.50

If RS = x + 2 and ST = 2x, what is ST?

Answers

Answer:

ST = 2x

Step-by-step explanation:

if not please elaborate on the question.

Last quarter Rachel earned a grade of 92. This quarter she earned an 88. What is the percent decrease in her grade?

Answers

Answer:

[tex]$4.\overline{54}[/tex]

Step-by-step explanation:

The percent decrease is [tex]$92/88-1=23/22-1=1/22=4.5454545...$[/tex].

So, the answer is [tex]$\boxed{4.\overline{54}}$[/tex] percent decrease.

I recently had work done on my car. The estimate was $234.78 but the actual was $365.99.

What is the relative error in the estimate?

Round to 2 decimal places.

Answers

Answer:

35.85%

Step-by-step explanation:

first, find the difference between the real value and the estimated value:

365.99 - 234.78 = 131.21

now divide the difference by the real value:

131.21 / 365.99 = 0.358507

now multiply 0.358507 by 100 to get a percentage, then round to 2 decimals:

35.85%

Pa help pleas ineed po

Answers

Answer:

As shown in the attachment,

Step-by-step explanation:

refer to the attachment

(w2x−3)÷10⋅z when w=−9, x = 2.7, and z=−2/5

Answers

w=-9x=2.7z=-2/5

[tex]\\ \sf\longmapsto \dfrac{w^2x-3}{10z}[/tex]

[tex]\\ \sf\longmapsto \dfrac{(-9)^2(2.7)-3}{10(-2/5)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{81(2.7)-3}{-2(2)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{218.7-3}{-4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{215.7}{-4}[/tex]

Rounding up numerator

[tex]\\ \sf\longmapsto \dfrac{216}{-4}[/tex]

[tex]\\ \sf\longmapsto -44[/tex]

Step-by-step explanation:

(-9)^2(2.7)-3/10(-2/5

= 81(2.7)-3/-2(2)

= 218.7-3/-4

= 215.7/-4

= -44

Check all solutions to the equation. If there are no solutions, check "None."
x1 = 2

Someone please help ASAP!

Answers

Answer:

C -2

Step-by-step explanation:

it's -2 since lxl = -2 or 2

What is the sum of the first 50 terms in the sequence 4,-4,4,-4,4...?​

Answers

Answer:

0

Step-by-step explanation:

If there is an even number of 4 and -4s. They should all cancel each other out and equal 0.


Graph system of inequalities
Y>|2/3x-3
Y>|-4/3x+3


Answers

The Graphs are in attachment !

1st graph is for equation :

[tex]y > \dfrac{2}{ 3}x - 3[/tex]

2nd graph is for equation :

[tex]y > - \dfrac{4}{3} x + 3[/tex]

Given system of inequalities:-

[tex]y = \frac{2}{3}x - 3[/tex]

and

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

So, the graph for the given system of inequalities is attached along with this answer.

Please refer the attachment for the graph.

✍️ By Benjemin ☺️

Find the value of x.........

Answers

Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

It is claimed that 79% of all Americans live in cities with population greater than 100,000 people.
Based on this, if 41 Americans are randomly selected, find the probability that

a. Exactly 30 of them live in cities with population greater than 100,000 people.

b. At most 33 of them live in cities with population greater than 100,000 people.

c. At least 34 of them live in cities with population greater than 100,000 people.

d. Between 28 and 33 (including 28 and 33) of them live in cities with population greater than
100,000 people.

Answers

Tbh bro i dont even know the answer

Pls i need this as soon as possible

Answers

The answer is B, because the 2 arrow is going the positive way of the line, and touches positive 2, then -4 is going the negative way of the line which touches -4.
So positive 2 minus -4

2-4

Find the area and perimeter.
5.6 cm

Answers

Answer:

A= 5.6 x 5.6 = 31.36

P= 5.6 × 4 = 22.4

Step-by-step explanation:

to find the area of a square, just take the length of 1 side and square it (A= length^ 2)

to find the perimeter of a square multiply length by 4 sides.

*these formulas only hold true for squares bc the length of each side is the same.

What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?

Answers

Answer:

ind the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )

to find the line parallel to  x + 4y = 28 .

Step-by-step explanation:

Following the October 15, 2019, fourth Democratic debate, Drudge Report ran an online poll on its website and asked readers who won the debate. A total of 208,001 votes were cast, with Gabbard receiving 79,881 votes (38%), Yang receiving 37,944 votes (18%), Buttigieg receiving 25,337 votes (12%), Warren receiving 14,405 votes (7%), Kloubachar receiving 13,142 votes (6%), Biden receiving 11,246 votes (5%), Steyers receiving 7,791 votes (4%), Sanders receiving 7,672 votes (4%), and the remaining candidates each receiving 1% or fewer votes. The sample size for this poll is much larger than is typical for polls such as the Gallup Poll. Explain why the poll may give unreliable information about the voting population, even with such a large sample size.

Answers

Although the sample size for the poll is much larger than is typical for polls such as the Gallup Poll, the poll may give unreliable information about the voting population, even with such a large sample size, due to the following reasons:

First, it is an online survey, where the interviewer does not decide who to interview and, therefore, the sample from which the result is obtained has not passed through the necessary heterogeneity filters. Second, because even in the case of a large number of people, since these voters are voluntary, there is no certainty that their responses are objective or neutral, which affects the final result.

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will give branliest to right answer

Answers

Answer:

i think it is b

Step-by-step explanation:

I think it’s B
Because I genuinely think it is

tan(-x) cos(-x) =

Simplify the expression

Answers

Answer:

- sin (x)

Step-by-step explanation:

hope this helps :)

Answer:  tan(-x) cos(-x) = -sin(x)

Step By Step Explanation:

tan(-x) cos(-x)

Use the negative angle Identity to get:

Cos (x) (-tan(x))

Remove the parenthesis to get:

-Cos (x) tan (x)

Express with sin,cos to get:

-sin(x)

I got my explanation from www.symbolab.com

https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input

,  Hope this Helps :)

Have a great day!!

please give clear answer!! soon <3
Explain how you can take an imaginary number and multiply it by another imaginary
number and get a real number.

Answers

Answer:

When you multiply two imaginary numbers, you are essentially multiplying them by itself or squaring them. If we recall, an imaginary number is the square root of -1. By squaring this number, you're eliminating the square root, ending up with -1 (aka a real number).

When reading a data set in ascending order (from smallest value to largest value), which of the following is the correct order of values that you would observe:


20th percentile, 1st quartile, 4th decile, median


30th percentile, median, third quartile, 6th decile


2nd decile, median, 1st quartile, 70th percentile


10th percentile, third quartile, median, 8th decile

Answers

Answer:

el equivalente a 23.79 no daré explicación



Select all the equations that are true.
83=43= 210
0 112 = 83= 135
25= 34 = 3.5
0123 = 62 = 27
111=1
=

Answers

The second and fourth one!

Solve 2^2 + x - 4 = 0.

Answers

Answer:

x=0

Step-by-step explanation:

2^2 + x - 4 = 0

2^2 = 4

4+x-4 = 0

Combine like terms

x=0

Enter the missing values in the area model to find 6(8p-7)

Answers

Step-by-step explanation:

6(8p - 7)

48p - 42 ans.

hope this answer helps you dear take care and may u have a great day ahead!

What is the solution of |2x+5|<19?

Answers

Answer:

[tex]2x + 5 < 19 \\ 2x < 19 - 5 \\ 2x < 14 \\ x < 7[/tex]

Answer:

The result can be shown in multiple forms.

Inequality Form:

−12< x < 7

Interval Notation:

(−12,7)

Step-by-step explanation:

first write |2x+5|<19 as a piece wise

2x+5≥0

To find the interval for the first piece, find where the inside of the absolute value is non-negative.

[tex]\frac{2x}{2}[/tex] ≥[tex]\frac{5}{2}[/tex] divide

x ≥−[tex]\frac{5}{2}[/tex] cancel common factor of 2

x ≥ −5/2.

To find the interval for the second piece, find where the inside of the absolute value is negative.

2x+5 < 0

substract by 5

2x < −5

divide by 2x

2x/2< −5/2

simplify to left side

x < −5 / 2

Simplify the right side.

x <  −5/2

In the piece where 2x+5 is negative, remove the absolute value and multiply by −1

− (2x+5) < 19

Write as a piecewise.

{2x+5 <19           x ≥ − 5/2

− (2x+5) < 19      x <− 5/2

Simplify −(2x+5)<19.

{2x+5<19       x≥−5/2

−2x−5<19      x<−5/2

Solve 2x+5 < 19 when x ≥ −5/2.

2x+5<19 for x.

Move all terms not containing x to the right side of the inequality.

2x < 14

divide by 2

x < 7

Find the intersection of x < 7 and x ≥−5/2.

−5/2 ≤x <7

Solve −2x−5 <19 when x <−5/2.

Move all terms not containing x to the right side of the inequality.

−2x<24

divide by -2

x>−12

Find the intersection of x > −12 and x <−5/2.

Find the union of the solutions.

−12 < x < 7

Wich of the following powers is the same as 2^5

Answers

None. There is no solution. None of them are equal. 2 to the fifth power is 32.

Most of them equal to something above 80 or are between 50 and 200.

17 percent of what is 40
45 of 155 is what
What percent of 153 is 137

Answers

Answer:

Number 1 :If you are using a calculator, simply enter 40×100÷17, which will give you the answer.

Number 2: 45 percent of 155 is 69.75.

Number 3: 137 is what percent of 153? = 89.54

Answer:
17% of 235.29 is 40

45% of 155 is 69.75

136 is 89.54% of 153

how is five hundred two thousand,seven and four hundredths written in expanded nataion?

Answers

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

Answer:

502,007.004

Step-by-step explanation:

because I smart middle schooler

A farmer is enclosing a square area for his pigs as shown below. Use the formula A = s to the second power to find the area of the pig pen.

Answers

The area of the given figure that is mentioned is 64.

A square has congruent angles on each side. The square's area is thus equal to its square divided by its side length.

Let a represent the square's side length. The area of the square will be calculated as:

Area of the square = a² square units

The side provided is 8 ft

The area will be

= a²

= 8²

=64

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find csc θ and sec θ if cot θ= 3/2 and cos θ>0​

Answers

Since both cot(θ) and cos(θ) are positive, it follows that sin(θ) is also positive:

cot(θ) = cos(θ)/sin(θ) > 0   ===>   sin(θ) > 0

Recall the Pythagorean identity:

sin²(θ) + cos²(θ) = 1

Multiplying both sides by 1/sin²(θ) yields another form of the identity,

sin²(θ)/sin²(θ) + cos²(θ)/sin²(θ) = 1/sin²(θ)

1 + cot²(θ) = csc²(θ)

so that

csc(θ) = + √(1 + cot²(θ))

csc(θ) = √(1 + (3/2)²)

csc(θ) = √13/2

By definition of cosecant, we have

csc(θ) = 1/sin(θ)

so that

sin(θ) = 2/√13

Then using the Pythagorean identity once more, we have

cos(θ) = + √(1 - sin²(θ))

cos(θ) = √(1 - (2/√13)²)

cos(θ) = 3/√13

so that, by definition of secant,

sec(θ) = 1/cos(θ)

sec(θ) = √13/3

help please this is kinda difficult .

Answers

im pretty sure that the slope for both lines would be 2

HELP US PLS I WILL GIVE BRAINLIEST!!!!!

Answers

this is what I think
Is the question asking what you should if so the answer is unit rate because a unit rate means a rate of one to something while a rate is a ratio which the two terms are in different units. Since it is divided the most it can it is a unit rate
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