On a coordinate plane, three of the four vertices of a rectangle are located at the points (0,0). (5,5), and (6,2). What is the area, in square units of the rectangle?
Answers
Using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
What is the Area of a Rectangle?Area of rectangle = length × width.
What is Distance Formula?Distance Formula is given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].
Thus:
Length of rectangle = distance between (0, 0) and (5, 5)
[tex]d = \sqrt{(5 - 0)^2 + (5 - 0)^2}\\\\d = \sqrt{50}[/tex]
Width of rectangle = distance between (5, 5) and (6, 2)
[tex]d = \sqrt{(2 - 5)^2 + (6 - 5)^2}\\\\d = \sqrt{10}[/tex]
Area of rectangle = √50 × √10
= √500
Area = 10√5
Therefore, using the distance formula and the area of a rectangle, the area of the rectangle in square units is: B. 10√5
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Related Questions
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet. If this ratio is true for the whole town, how many families would have a pet dog in a town with about 3,850 families?
Answers
Answer:
1650 families
Step-by-step explanation:
In a survey of his neighborhood, Timothy found out that 3 families out of 7 have a dog for a pet.
The given ratio = 3:7
When written as a fraction = 3/7
The number of families that would have a pet dog in a town with about 3,850 families is given as:
3/7 × 3,850
= 1650 families
Therefore, 1650 families would have a pet dog in town.
2. Juan eats 12 cupcakes, out of a total of 60 cupcakes. What % of the total cupcakes did
Juan eat?
A. 25% B. 20% C. 30% D. 40%
PLzZz HELP ASAP
63 POINTS
Answers
Answer:
20 percent
Step-by-step explanation:
10% of 60 is 6
6 times 2 is 12, 10% times 2 is 20%. so 20%
Answer:
20%
Step-by-step explanation:
20%
What is (a^2-b^2) factored out?
Answers
Answer:
(a+b)(a-b)
Step-by-step explanation:
because (a+b)(a-b):
If you use FOIL it will work backwards
Who can answer this??
Answers
Answer:
Answer is B.
because points cross 0.7 and 2
Answer:
B
Step-by-step explanation:
Because when you substitute x by zero, you will get y=+2 and continue substitute x by other numbers to see difference y values and plot it.
PLEASE HELP ASAP - SLOPE
Answers
A b=-1
D m= 1/2
A ferris wheel holds 60 people in 25 minutes. How many people can it hold in 4 hours?
Answers
Answer: The Ferris wheel can hold 576 People in 4 hours
Step-by-step explanation: To find how many people the Ferris wheel can hold in 4 hours, we first want to know how many people the Ferris wheel can hold per minute and per hour.
To find how many people can go on the Ferris wheel per minute, simply divide 60 by 25.
60/25 = about 2.4 people per minute.
There are 60 minutes in a hour, so multiply 2.4 by 60.
2.4 x 60 = 144 People per hour.
We want to know how many people the Ferris wheel can hold in 4 hours. So multiply 144 by 4.
144 x 4 = 576 People that the Ferris wheel can hold in 4 hours.
Solve equation by using the quadratic formula 25x^2 + 35x = -12
Answers
Answer:
[tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Multiple RootsStep-by-step explanation:
Step 1: Define
25x² + 35x = -12
Step 2: Rewrite
[Addition Property of Equality] Add 12 on both sides: 25x² + 35x + 12 = 0Step 3: Identify
Identify Variable Parts.
a = 25, b = 35, c = 12
Step 4: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-35\pm\sqrt{35^2-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-4(25)(12)}}{2(25)}[/tex][Numerator - √Radical] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{1225-1200}}{2(25)}[/tex][Numerator - √Radical] Subtract: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{2(25)}[/tex][Denominator] Multiply: [tex]\displaystyle x=\frac{-35\pm\sqrt{25}}{50}[/tex][Numerator - √Radical] Evaluate: [tex]\displaystyle x=\frac{-35\pm5}{50}[/tex]Evaluate: [tex]\displaystyle x=\frac{-4}{5}, \frac{-3}{5}[/tex]Dak Prescott sucks
period
i dare you argue
Answers
and btw go easy on his injury cowboys! till i die
Step-by-step explanation: my reasons:
The kind of dreams where you wake up and can’t stop smiling.
The smell before and after it rains.
The sound of rain against a rooftop.
The feeling you get when you’re dancing.
The person (or people) that mean the most to you. Stay alive for them.
Trying out new recipes.
The feeling you get when your favorite song comes on the radio.
Things are going to be okay. maybe not today and maybe tomorrow not but things are eventually going to be ok.
A una fiesta número de mujeres era 4 veces al número de hombres después de la llegada de 5 matrimonios el porcentaje de hombres en la fiesta pasó a ser deben 6% cuál es el número de mujeres después de la llegada de 5 matrimonios
Answers
After the arrival of 5 marriages, the total women will be 9.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%
Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.
After the arrival of 5 marriages -
y + 5 = 4x + 5
and
x = 6% of y
x = (6/100) x y
x = (3/50)y
So, we can write -
y + 5 = (12/50) + 5
y = 12/50
So -
x = (12/50) x (50/3)
x = 4
After the arrival of 5 marriages, the total women will be -
x + 5 = 9
Therefore, after the arrival of 5 marriages, the total women will be 9.
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{Question in english language is -
At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}
can anyone help me solve this?
Answers
Answer:
Step-by-step explanation:
[tex](\sqrt{z} +\sqrt{22})(\sqrt{z} -\sqrt{22})=35[/tex]
Subtract both sides from 35
[tex](\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35[/tex]
Simplify:
[tex](\sqrt{z})^{2} -57=0[/tex]
Factor [tex](\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})[/tex]=0
[tex]\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0[/tex]
[tex]\sqrt{z} +\sqrt{57} =0: No Solution for Z[/tex]
[tex]\sqrt{z} -\sqrt{57} =0: z=57[/tex]
Your answer will be z=57
and No solution
Answer:
(
z
+
22
)(
z
−
22
)=35
Subtract both sides from 35
(\sqrt{z}+\sqrt{22} (\sqrt{z} -\sqrt{22})-35=35-35(
z
+
22
(
z
−
22
)−35=35−35
Simplify:
(\sqrt{z})^{2} -57=0(
z
)
2
−57=0
Factor (\sqrt{z})^{2} -57: (\sqrt{z}+\sqrt{57}) (\sqrt{z}-\sqrt{57})(
z
)
2
−57:(
z
+
57
)(
z
−
57
) =0
\sqrt{z} +\sqrt{57}=0 or \sqrt{z} -\sqrt{57}=0
z
+
57
=0or
z
−
57
=0
\sqrt{z} +\sqrt{57} =0: No Solution for Z
z
+
57
=0:NoSolutionforZ
\sqrt{z} -\sqrt{57} =0: z=57
z
−
57
=0:z=57
Your answer will be z=57
I need help with this.
Answers
Answer:show me
Step-by-step explanation:
To stay within your budget,the area of the house and the garage combined is at most 3000 square feet.The area of the garage is 528 square feet.Write and slove an inequality that represents the area of the house. write the inequality, do not simplify. Let h=area of the house simplify the inequality
Answers
Answer:
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
Step-by-step explanation:
Area of house and garage is at most 3000 ft²
Area of garage = 528 ft²
Area of house (h) =?
Area of garage + Area of house ≤ 3000 ft²
528 ft² + h ≤ 3000 ft²
h ≤ 3000 ft² - 528 ft²
h ≤ 2472 ft²
You might need:
Calculator
The lifespans of lizards in a particular zoo are normally distributed. The average lizard lives 3.1 years, the
standard deviation is 0.6 years.
Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a lizard living between 2.5 and
4.3 years.
1%
Show Calculator
Report a problem
Plz HELP!!!
Answers
Answer:
Is there a picture of it so I can solve
Turn these phrases into algebraic expressions (PLEASE HELP)
Twice a number, decreased by 7
2 more than 7 times a number
9 less than a number
4 times a number, plus 9
9 decreased by 4 times a number
one-fourth of a number
Answers
7x+2
x-9
4x+9
4x-9
x/4
7x+2
X-9
4x+9
9-4x
1/4x
Here is a guide :
Help me please..........
Answers
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
With a knowledge of strings and numbers, you can announce equations to the user. Create a file that includes four different equations created with JavaScript. Each equation should be displayed to the user through JavaScript (an alert, HTML output, etc). The left side of the equation and the equal sign should be in a string, and the answer should be the actual calculation. Do not type in the answer as part of the string.
Hint: When you concatenate these two data types, place the calculation inside parentheses. Concatenating a string and a number will coerce your number into becoming a string, so you’ll want the calculation to be executed before that happens.
When you are finished, make sure your files are up and working on your Neocities account. Submit your URL to your teacher to complete the assignment. Be sure your site functions live on Neocities and contains all of the assignment's requirements. Your assignment will be graded based on the rubric below.
Answers
Answer:
//
Step-by-step explanation:
Please help if you can. :) ASAP
Answers
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
20 times 25 = 500
12 times 10 = 120
15 times 8 = 120
120 + 120 = 240
500 - 240 = 260
here is a math question
Answers
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
Help please.
Algebra.
Answers
Answer:
3) B
4) D
5) C
Step-by-step explanation:
3) Slope is before X
4) Set equal to Y
5) Use rise over run to find slope then find y intercept
) 1
es
Penny deposits $74 into her bank account. This puts her balance at $225. How much money did Penny have in hel Dan
account before her deposit?
$225 = $74+ m
2
dar
m = $
type your answer...
3
OX
Answers
Answer:
$151
Step-by-step explanation:
225 = 74 + m
- subtract 74 from both sides
225-74 = 74-74 +m
1. 151 = 74 - 74 + m
2. 151 = 0 + m
the 0 is irrelevant so you can remove it and you get
151 = m
the correct way to write it would be:
m = 151
Answer:
150 ________//_/___________///////
Simplify: (-7x + 5) - (2x2 – 8x + 6). Choose the standard form of the answer.
A. -2x2 + x-1
B. -9x2 + 8x - 1
C. -5x2 + 8x-1
D. 2x2 - 15x - 1
Answers
Answer:
A.-2x2+-1
Step-by-step explanation:
(-7x+5)-(2x2-8x+6)
-7x+5-2x2+8x-6 then collect like terms
-2x2-7x+8x+5-6
-2x2-x+1
If it's helpful ❤❤❤
THANK YOU
Expression is a set of numbers, variables, and mathematical operations. The standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As the expression is given to us (-7x + 5) - (2x² – 8x + 6), in order to simplify the problem we need to open the brackets. therefore, the expression can be solved as,
[tex](-7x + 5) - (2x^2 - 8x + 6)\\\\= -7x + 5 - 2x^2 + 8x - 6\\\\ = -2x^2+8x-7x-6+5\\\\=-2x^2 + x - 1[/tex]
Hence, the standard form of the expression (-7x+5)-(2x²–8x+6) is -2x²+x-1.
Learn more about Expression:
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This is a question .PLease help.
Answers
Is 5x and x like terms
Answers
Answer:
Yes they are. “X” is basically 1x becuase if you multiply 1 by x its still x. So they are like terms, if you combine them you’ll get 6x becuase 5x+x=6x
Question 4 (2 points)
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10?
оа
2y + 10x = 8
Ob
4y - 10x = 12
OC
5y + 2x = 10
Od
5y-2x = 25
Question 5 (2 points)
What is the slope of the line perpendicular to the line represented by the equation 2x + 4y = 12?
Answers
Answer:
12
Step-by-step explanation:
The required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Given that,
Which equation represents a line parallel to the line whose equation is 2y - 5x = 10 is to be determined.
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The property of the parallel line state that the slope of the parallel line are always equal.
So the slope of line given in B 4y - 10x = 12 is m = 5 and slope of the given line is m = 5 which are equal.
Thus, the required equation of the line that is parallel to the given line is 4y - 10x = 12. Option B is correct.
Learn more about slopes here:
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Can somebody please help me with this question!! I will appreciate the help dearly
Answers
Answer: -7, 7
Step-by-step explanation:
-2x^2 - 9 = -107
-2x^2 + 98 = 0 (add 107 to both sides)
-2(x - 49) = 0 (factor out -2)
-2(x - 7)(x + 7) = 0 (factor)
x - 7 = 0
x = 7
x + 7 = 0
x = -7
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? 1.Select all equations that represent the situation.a.4⋅25=?b.?⋅25=4c.25÷4=?d.4÷25=?e.?÷25=
Answers
Answer:
[tex]\frac{4}{25}[/tex] of a bag.
Step-by-step explanation:
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Answers
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
Laura tiene una tarifa de telefono en la que paga solo por el tiempo que dura cada llamada .Si un minuto cuesta o,16€ ysu ultima llamada duro 3,15 min ¿cuanto tendra que pagar?
Answers
Answer:
50,4 €
Step-by-step explanation:
De la pregunta anterior,
1 minuto = 16 €
3,15 minutos = x
Cruz multiplicar
x × 1 minuto = 16 € × 3,15 minutos
x = € 16 × 3,5 minutos / 1 minuto
x = 50,4 €
Por tanto, por una llamada de 3,15 minutos, Laura tendrá que pagar 50,4 €.
Smallest to largest
Help!
Answers
Answer:
I believe it is C... since the largest angle is always across from the longest side, where as the smallest angle is across from the shortest side.
Step-by-step explanation:
hope this helps :P hav a fantastic day
What are the zeros of the polynomial y = (3x − 1)(x + 2)(2x + 1)? (4 points) negative two comma negative start fraction one over two end fraction comma start fraction one over three end fraction negative two comma negative start fraction one over two end fraction comma negative start fraction one over three end fraction 3, −2, 2 two comma start fraction one over two end fraction comma negative start fraction one over three end fraction
Answers
Answer:
1/3, -2 and -1/2
Step-by-step explanation:
Given the polynomial function y = (3x − 1)(x + 2)(2x + 1)
The zeros of the function occurs at when y = 0
The expression becomes;
(3x − 1)(x + 2)(2x + 1) = 0
3x - 1 = 0
3x = 1
x = 1/3
Also
x = x+2
x = 0-2
x = -2
2x+ 1 = 0
2x = 0-1
2x = -1
x = -1/2
Hence the zeros of the polynomial are 1/3, -2 and -1/2