To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)

Answers

Answer 1

Answer:

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085

Step-by-step explanation:

The given parameters are;

The coordinates of parallelogram RSTU are;

R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)

The lengths of the sides are (using an online length calculator);

RS = 4.1231

RT = 10

ST = 9.2195

SU = 10.198

TU = 4.1231

UR = 9.2195

Therefore, by definition of a parallelogram, we have;

RS║TU and ST║UR

The slope of RS = (1 - (-3))/(-5 - (-4)) = -4

The slope of ST = (3 - 1)/(4 - (-5)) = 2/9

The equation of the line perpendicular to ST is therefore;

y - 1 = -9/2×(x - (-5))

y = -9x/2 - 43/2

The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1

y = x/4 - 2

The point where the two lines meet is therefore;

-9x/2 - 43/2  =  x/4 - 2

x = -78/19

y = -115/38

The length of the side of the rectangle = 4.1245

The excess width of the rectangle = 0.1085

The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.

Answer 2

Answer: It’s C on edge

Step-by-step explanation:


Related Questions

PLZ HELP, 20 points!!!
22. What is the domain of the graph?

23. What is the range of the graph below?
Plzzzz hurry, first AND correct answer gets 20 points!!!

Answers

Answer:

.

Step-by-step explanation:

Answer:

domain: all real numbers

range: y| y is greater than or equal to 5

614 divided by 31 round it

Answers

Answer:

Hi, I'm unsure as to what digit you wanted us to round the answer to, so I rounded the answer to the 4 most commonly used decimal places.

First off, we figure out that 614 divided by 31 equals 19.8064516129.

Rounded to the nearest thousandth, that's 19.806.

Rounded to the nearest hundredth, that's 19.81.

Rounded to the nearest tenth, that's 19.8.

Rounded to the nearest whole number, that's 20.

Hope this helps! Feel free to mark me Brainliest if you feel this helped. :)

Answer:

the answer is 19.80645.

Step-by-step explanation:

What is 33 and 1/3 as a percent?

Answers

Answer:

33 is 33 % of 100 and 1/3 is 33.33 %

Step-by-step explanation:

Hope this helps!!

Answer:

33.3333333333333.........%

Step-by-step explanation:

On Friday, a bowling alley made $842.72 from lane rentals and $412.38 from the concession stand. On Saturday, their lane rentals were down by StartFraction 1 over 8 EndFraction but the concessions increased by One-half. What is the total amount that the bowling alley earned in lane rentals and concessions on Friday and Saturday?
$1,355.95
$1,580.10
$1,992.48
$2,611.05

Answers

Total: 737.38 + 618.57 = 1,355.95 Choice A.

Answer:

D

Step-by-step explanation:

You drive 14.4 miles. How many inches is that?

Answers

Answer:

912384

Step-by-step explanation:

Answer:

14.4 miles is equal to 912384 inches

Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y ​ start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?

Answers

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

What type of number is -7.89? Select all that apply

Whole number
Integer
Rational
Irrational

Answers

The answer to this question is INTEGER
Actually it’s only rational because it’s -7.89 if it were -7 than it would be integers and rational

If a sample of gold were reduced to the smallest possible particles of pure gold, which statement would most accurately describe the result? If a sample of gold were reduced to the smallest possible particles of pure gold, which statement would most accurately describe the result?

A The sample would be reduced to atoms of gold.

BThe sample would be reduced to molecules of gold.

C The sample would be reduced to protons and neutrons of gold.

D The sample would be reduced to electrons and protons of gold.

Answers

Answer:

The sample would be reduced to atoms of gold.

Reason: All things are made up of atoms.

Answer:

The atoms of gold.

Step-by-step explanation:

What is 25% of 80?
x=2
x=75
x=20

Answers

Answer:

X=20

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

.25 times 80 (of means to multiply)

find the value of x if n(x)=-6x+10 when n(x)=58

Answers

Answer:8

Step-by-step explanation:

6x+10=58

6x=48

X=8

PLEAS HELP IM ON A WUIZ
What is -6? It is...
Rational Number
Integer
Whole Number
Natural Number

Answers

Answer: Integer, rational number

A model of a house has been drawn on a coordinate grid. One corner of the house has been drawn at (6, 3). The drawing will be translated two units down and three units to the right. How should the translation be written?

Answers

Answer:

(9, 1)

Step-by-step explanation:

Given the coordinate of one corner of the house has been drawn at (6, 3), if the drawing is translated two units down and three units to the right

two units down = -2 (along the negative y axis)

three units to the right = +3 (towards the positive x-axis)

The coordinate used to translate the model of the house (x, y) is (3, -2)

Adding both coordinates:

= (x, y) + (6, 3)

= (x+6, y+3)

Substitute the values of the translated coordinates

= (3+6, -2+3)

= (9, 1)

The translation should be written as (3+6, -2+3) which is equivalent to (9, 1)

Since i helped so many people, please HELPPPPP NOWWW thnaks

Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.

How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?

Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.

Answers

Answer:

theresa needs 48 pieces and samuel needs 24 pieces

Step-by-step explanation:

the exact answers are 24.07692307692308

48.15384615384615

Identify the constant proportionality: k=

Answers

Answer:

is there any more info?

Step-by-step explanation:

I don't see any info in order for me to solve this

10000 rounded nearest 10

Answers

10000 is already a whole number, you can’t round it anymore

I don’t know if you meant scientific notation, which would be

10000 = 1 x 10^4

I WILL GIVE YOU BRAINLIEST

Answers

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

Answers

Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

Giving this Matrix choose the equation that you can use to solve for X

Answers

Answer:

its just C

Step-by-step explanation:

C. (x2 – x = 6)

C. and D. (–2 and 3)

2

Please explain The Four Color Theorem and list 1 example

Answers

Answer:

The Four Color Theorem, or the Four Color Map Theorem, in its simplest form, states that no more than four colors are required to color the regions of any map so that no two adjacent regions have the same color. As promised, that's a theorem any elementary-level student can grasp.

Step-by-step explanation:

Will Give Brainliest to person who answers with visuals and step by step process to completing the questions

Answers

Answer:

The value of O is 13°

with A I have marked area

What is the x-intercept of the line with this equation –2x+1/2y=18?

Answers

Answer:

( −9, 0)

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Test
Test
Active
1
2
3
4
5
TIME REMAINING
01:47:04
Which statement correctly explains how Andre could find the solution to the following system of linear equations using
elimination?
(85-9-15
(75-21-12
O Multiply the first equation by -7 and the second equation by 8, and then subtract
O Multiply the first equation by -7 and the second equation by 8, and then add.
O Multiply the first equation by 2 and the second equation by 9, and then add.
O Multiply the first equation by -2 and the second equation by 9, and then subtract.

Answers

Answer:3rd

Step-by-step explanation:

Answer:

C) Multiply the first equation by 2 and the second equation by 9, and then add.

Step-by-step explanation:

Mr. Jamison bought a toaster oven that was originally priced at
$89. He received a 20% discount. What is the sale price of the
toaster oven? PLEASE HELP

Answers

Answer:

The sale price was $71.2

Step-by-step explanation:

Answer:

$71.2

Step-by-step explanation:

Please identify the common angles and sides or these triangles.

Answers

Answer:

see attached image

Step-by-step explanation:

What value of p makes the equation true?
-3p+1/8=-1/4

Answers

Answer:

p= 1/8 or p= 0.125

Step-by-step explanation:

how do you solve 3(x-10)= -6 ?

Answers

Answer:

x=8

Step-by-step explanation:

3(x-10)=-6

3x-30=-6

3x=24

x=8

Answer:

X=12

Step-by-step explanation:

Step 1

3(x−10)=6

(3)(x)+(3)(−10)=6

3x+−30=6

3x−30=6

Step 2

3x−30+30=6+30

3x=36

Step 3

3x

3

=

36

3

x=12

Please help I’ll give brainiest!!

Answers

Answer:

x=-1

Step-by-step explanation:

You add like terms until you get your equation.

Answer:

x = -1

Explanation:

3(-1) - 10(-1) + 5 = 5(-1) + 17

-3 + 10 + 5 = -5 + 17

(add first before subtracting!)

12 = 12

So, the first answer, x = -1, is the correct answer.

Please mark me Brainliest! I need it to move onto the next level.

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted price of $2 per slice of pizza. Chase purchased a membership to this pizza shop. How much would Chase have to pay the pizza shop if he bought 19 slices of pizza this month?

Answers

Answer:

$38.

Step-by-step explanation:

2•19=$38

unless you need to add the $5 as well then it's $43

Answer:

$38 for the pizza. if you're counting the membership with it, its $43.

Step-by-step explanation:

$2 slices of pizza times 19 times bought. 2 · 19 is 38. with the membership added on, it would be $43.

if you need more explanation, ask in the comments! i would be happy to help :)

Work out the value of
5^8 x 5^-2 /
5^4

Answers

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

What are exponents?

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

https://brainly.com/question/5497425

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