Do the following points give the vertices of a rectangle? Justify your answer. A(0, 10) B(3, 6) C(8, 16) D(11, 12)
A. No; ←→ A B ↔ is perpendicular to ←→ A C ↔ , but this is the only pair of perpendicular s connecting these points.
B. No; ←→ A B ↔ is parallel to ←→ C D ↔ , but this is the only pair of parallel s connecting these points. '
C. Yes; ←→ A B ↔ is perpendicular to ←→ C D ↔ , and ←→ A C ↔ is perpendicular to ←→ B D ↔ . The two pairs of perpendicular s intersect to form a rectangle.
D. Yes; ←→ A B ↔ is parallel to ←→ C D ↔ , and ←→ A C ↔ is parallel to ←→ B D ↔ . The two pairs of parallel lines are perpendicular to each other.
Answers
Yes, the following points give the vertices of a rectangle. This is because ←→ A B ↔ is parallel to ←→ C D ↔ , and ←→ A C ↔ is parallel to ←→ B D ↔ . The two pairs of parallel lines are perpendicular to each other. (Option D)
How do you graph the vertices of a rectangle?To draw a rectangle on the coordinate plane, first, draw the vertices and then connect them.
Note that the above vertices are represented as follows:
A(0, 10)
Where 0 = x and 10 = y
B(3, 6)
Where 3 = x and 6 = y
C(8, 16)
Where 8 = x and 16 = y
D (11, 12)
Where 11 = x and 12 = y.
See attached graph for the plotted rectangle.
Learn more about rectangles:
https://brainly.com/question/15019502
#SPJ1
Related Questions
Find the area of the trapezoid.
A.23.75cm^2
B.67.5cm^2
C.115cm^2
D.57.5cm^2
Answers
Answer:
D
Step-by-step explanation:
A=(1/2)(5)(13.5+9.5)=57.5
Answer:
D. 57.5cm^2
Step-by-step explanation:
O y=
y = cos(x + 1)
O y = cos(x+ 2x)
y-con~+5 )
Oy= cos(x+8)
©
Answers
Option C - y = cos(x + 5π) is the equation that most closely represents the graph. See attached graph.
What is an equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.
The graph of y = cos(x + 5π) is a cosine function that is shifted horizontally 5 units to the left compared to the standard cosine function.
The function is a periodic function that oscillates between -1 and 1, with each cycle shifted 5 units to the left compared to the standard cosine function.
Learn more about equation:
https://brainly.com/question/22688504
#SPJ1
The two shorter sides of a right triangle measure 18 ft and 24 ft. What is the measure in feet of the third side?
Answers
We have that in a right triangle, the larger side is the hypothenuse since the sum of the others angles must be equal to 90. Thus, we can apply the Pythagorean Theorem to solve this question.
The legs of the triangle are a = 18 ft, b = 24 ft, and c = ?.
Then, applying the Pythagorean Theorem, we have (without using units):
\(c^2=a^2+b^2\Rightarrow c^2=(18)^2+(24)^2\Rightarrow c^2=324+576\Rightarrow c^2=900\)Then, taking the square root to both sides of the equation, we have:
\(\sqrt[]{c^2}=\sqrt[]{900}\Rightarrow c=30\)Then, the measure of the third side (hypothenuse) is c = 30 ft.
Complete the Ratio Table with the correct values for b and r. You must click on an answer for b and r
b = 13
b = 16
b = 14
b = 8
r = 21
r= 18
r = 23
r = 15
Answers
Answer:
b=20
r=15
Step-by-step explanation:
OK...
hope helpful for you
Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =
Answers
Answer:5r2+2
Step-by-step explanation:
Distribute the Negative Sign:
=4r2−3r+2+−1(−r2−3r)
=4r2+−3r+2+−1(−r2)+−1(−3r)
=4r2+−3r+2+r2+3r
Combine Like Terms:
=4r2+−3r+2+r2+3r
=(4r2+r2)+(−3r+3r)+(2)
=5r2+2
How many commutes are exactly 68 minutes
Answers
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 3.5 ft long with a diameter of 1.8 ft. Suppose oil is drained at a rate of
1.7 n' per minute. If the tank starts completely full, how many minutes will it take to empty the tank?
Use the value 3.14 for at, and round your answer to the nearest minute. Do not round any intermediate computations.
Answers
Answer:
5 minutes
Step-by-step explanation:
Volume of cylinder = πr²h
Radius, r = diameter / 2 = 1.8 /2 = 0.9
Volume of cylinder = 3.14 * 0.9² * 3.5
Volume = 8.9019 feet³
Drain rate = 1.7 ft per minute
Volume / drain rate
8.9019 / 1.7
= 5.2364117
= 5 minutes (nearest minute)
Which equation has an extraneous solution?A. ^5/x = -2B. ^3/x + 1 = 10C. /x = -5D. ^4/x- 5= 3
Answers
An extraneous solution is one in which when we plug back the answer into the equation, it does not work.
For option A:
\(\begin{gathered} \sqrt[5]{x\text{ }}=\text{ -2} \\ \text{raise both sides to the 5th power} \\ x=(-2)^5 \\ x\text{ = -32} \end{gathered}\)For option B:
\(\begin{gathered} \sqrt[3]{x}+\text{ 1 = 10} \\ \text{subtract 1 from both sides} \\ \sqrt[3]{x}\text{ = 10 -1 = 9} \\ Get\text{ the cube of both sides} \\ \text{x =9}^3 \end{gathered}\)For option C:
\(\begin{gathered} \sqrt[]{x}\text{ = -5} \\ \text{square both sides} \\ x=(-5)^2 \\ x\text{ = 25} \end{gathered}\)For option D:
\(\begin{gathered} \sqrt[4]{x}-\text{ 5 = 3} \\ \text{Add 5 to both sides} \\ \sqrt[4]{x}\text{ = 8} \\ \text{Raise both sides to the 4th power} \\ x=8^4 \end{gathered}\)But out of the 4 options, only option C is extraneous because if we plug back x = 25 into the original equation, you will not get back the original question.
i.e.
\(\sqrt[]{25}\text{ = 5 and not -5}\)Thus, option C is the answer
Rob collects data about how many customers enter and leave a store every hour. He records a positive number for additional customers entering the store each hour and a negative number for customers leaving the store each hour. Drag and drop the correct choices into the boxes to complete the answers to the questions.
Answers
1) 3:00 to 4:00
The absolute value of the number of people leaving is greater than the absolute value of the number of people entering.2) 103
From 1:00 to 2:00, a total of 14 more people entered, meaning there were 99 people.From 2:00 to 3:00, a total of 8 more people entered, meaning there were 107 people.From 3:00 to 4:00, a total of 4 people left, meaning there were 103 people.The required solution is 4:00 to 5:00 and 87 customers.
It is required to fill in the blanks.
What is arithmetic?The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given:
According to question , Initially, there were 75 customers.
From 1:00 to 2:00, a total of 30 more people entered, meaning there were
75 + 30 - 12
= 93 people.
From 2:00 to 3:00, a total of 14 more people entered, meaning there were
93 + 14 - 8
= 99 people.
From 3:00 to 4:00, a total of 18 people entered, meaning there were
99 + 18 - 30
= 87 people.
4:00 to 5:00 : If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.
Therefore, the required solution is 4:00 to 5:00 and 87 customers.
Learn more about arithmetic here:
brainly.com/question/28304284
#SPJ1
Write
17/100
as a decimal number.
Answers
Answer: 0.17
Step-by-step explanation:
Plug the equation into a calculator (17 divided by 100).
You can also think of the problem like this; move both decimal places to the left twice since, in 100, there are two 0's.
17 -> 0.17
100 -> 1
This can also work with 17 and 1000, but you would have to move the decimal place three times.
17 -> 0.017
1000 -> 1
Helpme with this math
Answers
The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
What is volume?Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:
LitersOunceCubic metersBased on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.
Read more on volume here: brainly.com/question/25248189
#SPJ1
PLZ HELP I WILL MARK BRAINLEST!
Answers
Answer:
Most likely B.}21 inches,
Please mark me brainliest
Answer:
The answer is B, 21 inches
Step-by-step explanation:
You find what happened with the width which is time 3. Then you multiply 7 by 3 to get 21!
Hopefully that helps! Please mark BRAINILEST
A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?
Answers
The hospital can get 4.15 milligrams from these three companies.
A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.
Here, we know that
Company A's supply of medicine = 1.7 mg
also, company A's supply = 2( B's supply - C's supply)
⇒ 1.7 = 2( B - C)
⇒ 1.7 = 2B - 2C .... (1)
Moreover, we are given that
A's supply = C's supply + 0.9
⇒ 1.7 = C + 0.9
⇒ 1.7 - 0.9 = C
⇒ 0.8 = C
Now, substituting the value of C in (1), we get,
1.7 = 2B - 2(0.8)
1.7 = 2B - 1.6
1.7 + 1.6 = 2B
⇒ B = 3.3/2
B = 1.65
Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg
Learn more about Linear equations here-
https://brainly.com/question/13729904
#SPJ9
A scale drawing of an office space uses a scale of 1 in. : 6 yd. The scale drawing has an area of 5 square inches. What is the area of the actual office space?
Answers
Answer: 30
Step-by-step explanation:
The scale is 1 in : 6 yd. the drawing was 5 inches. Multiply the drawing measurement (5) times the yards cause that’s the measurement you want and you get 30 yards.
Solve for
X/11=10/12
Give your answer as an improper
fraction in its simplest form.
Answers
12x = (10)(11)
12x=110
x=110÷12
x=55/6
.. Using a calculator, determine which is closest to V 19?
Answer: b=4.3
Answers
Answer:
?
Step-by-step explanation:
What is the equation of the axis of symmetry?
Easy please help
Answers
Answer:
\(-\frac{b}{2a}\) is the equation for axis of symmetry.
Step-by-step explanation:
b is the second part of the quadratic equation and a is the first part.
For example, \(2x^{2} +6x + 4\)
a is 2 and b is 6.
Plug in those values into the equation and then you get the axis of symmetry.
find the difference between points (3,5) and (-1,5)
Answers
b'
Let the given points be A(3,-5) and B(5,-1).
AB= sqrt of (5−3) ² +(−1+5)²
= sqrt of 4+16
= sqrt of 20
=2 sqrt of 5 units
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd. The actual number of cattle in the herd was 600.
What was the percent of error, rounded to the nearest percent?
15%
20%
25%
30%
Answers
The solution is, the percent of error, rounded to the nearest percent is 25%.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
now, we have to find the percent of error, rounded to the nearest percent.
so, we get,
Herbert estimated that there were 750 cattle in the herd.
The actual number of cattle in the herd was 600.
so, error = 750 - 600
= 150
so, we get,
the percent of error = 150 * 100 / 600
= 25%
Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
Explain by using an example why you need to multiply when converting from a larger unit to a smaller unit
Answers
Multiplying is necessary because each larger unit contains a certain number of the smaller units and we need to account for that conversion factor.
Why is multiplication necessary with examples?For example, when converting from meters to centimeters where we know that 1 meter is equal to 100 centimeters.
To convert 3 meters to centimeters, we need to multiply by the conversion factor of 100 which gives us:
= 3 meters * 100 centimeters/meter
= 300 centimeters
So, without the multiplication, we would not account for the fact that each meter contains 100 centimeters. This principle applies to all conversions from larger units to smaller units and it is important to remember to ensure accurate conversions.
Read more about multiplication
brainly.com/question/28768606
#SPJ1
The spread of a disease can be modeled as N = 250√ where N is
the number of infected people, and t is time (in days).
How long will it take until the number of infected people reaches
2,500?
Answers
The spread of the disease will take a time 100 days to reach 2,500 infected people.
How to find the number of infected people at a certain time
In this problem we have a radical equation that represents the number of infected people as a function of time, we are suppose to find the time when that number will be 2,500 by algebra properties: (N = 2,500)
2,500 = 250 · √t
√t = 2,500 / 250
√t = 10
t = 10²
t = 100
The spread of the disease will take a time 100 days to reach 2,500 infected people.
Remark
The statement is poorly formatted and presents typing mistakes, correct form is shown below:
The spread of a disease can be modeled as N(t) = 250 · √t, where N is the number of infected people, and t is time (in days). How long will it take until the number of infected people reaches 2,500?
To learn more on radical equations: https://brainly.com/question/11631690
#SPJ1
câu hỏi 2+3 bằng bao nhiêu
Answers
Answer:
uh
Step-by-step explanation:
The graph shows two accounts with the same principal and annual interest rate. Use the graph to estimate the answer to each question.
About how much more compound interest than simple interest is earned after 35 years? Remember to show your work.
About how much more compound interest than simple interest is earned after 45 years? Remember to show your work.
Answers
Answer:
The amount of compound interest than simple interest that is earned after 45 years:
$300 is invested.
After 45 years, it will grow to be about $700.
If invested using compound interest, it will grow to be about 1110.
The product of two fractions is 2/1/2 if one of the fraction is 7/1/2 find the other
Answers
Then, we have:
7/ 1/2 . x
= 2 / 1/2
Simplifying the left-hand side, we get:
7x = 4
Dividing both sides by 7, we get:
x = 4/7
Therefore, the other fraction is
4/7
In how many ways can the letter of word number taken two at a time
Answers
Answer:
So the number of ways of choosing two distinct letters at a time is (42)=6. We can then add the duplicate pairs which are O,O and N,N to give a total of 8 possible pairs.
Answer:
15
Step-by-step explanation:
There are 6 letters in the word number
This is 6 choose 2
This is a combination
The formula is 6! / ( 2! * (6-2)! )
6! / 2! 4!
(6*5*4*3*2*1) / ( 2*1 * 4*3*2*1)
Canceling like factors
(6*5) / ( 2*1)
30/2
15
There are 15 possible ways to have 6 choose 2
What is the value of A when we rewrite 4^31^x as A^x
Answers
Answer:
This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x?
I might be wrong here.
Step-by-step explanation:
Hope this helps, have a good day! :)
Describe a function that takes an input, adds 2, and then multiplies by 4
Answers
Answer:
Step-by-step explanation:
Describe a functiDescribe a function that takes an input, adds 2, and then multiplies by 4on that takes aDescribe a function that takes an input, adds 2, and then multiplies by 4n inpDescribe a function that takes an input, adds 2, and then multiplies by 4ut, adds 2, and then multiplies by 4
Pythagorean Theorem
solve for the missing side . Round to the nearest 10th
I NEED HELP ASAP I WILL MARK BRAINLIEST IF ANSWERED CORRECTLY NO LINKS IF YOU DO NOT KNOW THE ANSWER DONT COMMENT ON THIS THREAD
Answers
Answer:
\sqrt{45}
Step-by-step explanation:
A^2+B^2=C^2
36+?=81
81-36=45
\(\sqrt{45}\)=
Answer:
6.7 mmStep-by-step explanation:
Pythagorean Theorem
a² + b² = c²Here, we are missing one of the altitudes, so we can arrange the equation to form :
a² = c² - b²Solving
UW² = VW² - UV²UW² = (9)² - (6)²UW² = 81 - 36UW² = 45UW = √45UW = 6.7 mm5(2y-3)=40y what is the answer to this question
Answers
Answer:
y=-2
Step-by-step explanation:
5(2y-3)=40y
10y-15=40y
-15=30y
-2 = y
y = -2
A. If I do something for 30 seconds every day for a whole year, how long did I do it in total.
B. If I do something for 10 seconds every day for a whole year, how long did I do it in total.
Answers
Answer: 120 minutes
Step-by-step explanation:
Answer:
A. 10,950 seconds, 182.50 minuets, and about 3 hours
B. 3,650 seconds, about 60 minuets, or about 1 hour.
Step-by-step explanation:
A. We can multiply the seconds by the days in a year to get our answer, and we can simply divide if we want to get the amount of minuets or hours.
B. Same thing as "A", but all we do here, is multiply 10 by 365. :)