Geometry: CC 2015 > Chapter 2: Chapter 2 Test >
Conjecture: Twice the number of units in the length of any side of a rectangle is equal to the number of square units in the area of the rectangle.
The area of ABDE is 4 and 2 X AB = 4
The area of ABCF is 2 and 2 x BC = 2.
The area of ABCF is 2 and 2 x AB = 4
The area of ABDE is 4 and 2 x BD = 4
The statement proves that the conjecture is
Answers
Answer:
The area of ABCF is 2 and 2 × AB = 4
The statement proves that the conjecture is false
Step-by-step explanation:
A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information
Given the length of the sides of rectangle ABDE, we have;
Length AB = 2 units
Length DE = 2 units
The area of ABDE = 2 × 2 = 4 unit²
Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE
However, the are of rectangle ABCF = 2 × 1 = 2 unit²
While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.
Therefore;
The area of ABCF is 2 and 2 × AB = 4
The statement (above) proves that the conjecture is false.
Related Questions
- 6/11 * 3/4 what the answer
Answers
Answer: -9/22
Step-by-step explanation:
Answer:
-0.40909090909........
Step-by-step explanation:
PLEASE HELP! I WILL MAKE YOU BRAINSTER.
my questions are in the photo i need numbers 1-4.
Answers
Answer:
1.) Addition property
2.) reflective property
3.) Symmetric property
4.) Division property
Step-by-step explanation:
Please Help!
for a new neighborhood, 100 acres of land will be split into 10 lots. how many acres of land will each lot have?
Answers
Each lot will have 10 acres of land.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find out how many acres of land each lot will have, you can divide the total amount of land (100 acres) by the number of lots (10).
So,
= 100 acres ÷ 10 lots
= 10 acres per lot
Therefore,
Each lot will have 10 acres of land.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ3
I WILL MAKE YOU BRAINLESS
Evaluate a/b for a = 1/2 and b = -3/7
please explain your answer
Answers
Answer:
- 1 1/6
Step-by-step explanation: This is equal to 1/2 / -3/7. To divide, we take the reciprocal of the second number and multiply by the first. 1/2 * -7/3.
Answer:
-7/6
Step-by-step explanation:
1/2 / -3/7
(A little trick i learned with dividing fraction Keep Switch FLip)
Keep the 1/2
switch the sign to a x
and flip the second fraction -7/3
1/2 x -7/3
-7/6
Simplify the following expression as a monomial: 25x5/5
Answers
Answer: 25
Step-by-step explanation:
because 25 times 5 is 125 and dividing it brings it back to 25
All of the following are equivalent, except
(12 + 3)x
12x + 3x
(12 + 3x)x
15x
Answers
The gas tank on a car holds 13.4 gallons. If the car goes 335 miles on a single tank, how many miles per gallon does the car get? Provide an explanation of what the final answer means, in terms of the given problem. Show all work.
chile..
Answers
Answer:
The car gets 25 miles per gallon.
It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.
Step-by-step explanation:
"Miles per gallon" is calculated by dividing the number of miles by the number of gallons.
mpg = (335 miles)/(13.4 gallons) = 25 miles per gallon
Answer:
The car gets 25 miles per gallon.
It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.
Answer:
25
Step-by-step explanation:
You need to divide 335 miles by 13.4 to find the miles per gallon. 335 miles divided by 13.4 gallons is 25. So for every 25 miles you use 1 gallon.
Sarah had a party and bought 4 pizzas Each pizza had 12 slices at the end of the party there was 1 and 3/4 pizzas left how many slices were eaten
A.20
B.21
C.27
D.28
Answers
27
12x4=48
then 3+3+3=9 because its 3/4
then you add 12 because of the 1
then 48-21=27
Answer: its 27
Step-by-step explanation: give it to him or her they earned it
How will you know that the expression is a perfect square trinomial?
Answers
Answer:
An expression will be said to be a perfect square trinomial if it takes the form of ax² + bx + c and if it satisfies the condition b² = 4ac.
Step-by-step explanation:
An expression which is obtained from the square of a binomial equation is known as perfect square trinomial.
Now, the conditions for which an equation will be called a perfect square trinomial are;
i) It is of the form: ax² + bx + c
I) It satisfies the condition: b² = 4ac.
Thus, the perfect square formula could take the following forms:
(ax)² + 2abx + b² = (ax + b)²
Or
(ax)² − 2abx + b² = (ax − b)²
2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
How many students at Hamilton Middle School have red hair?
Answers
Answer:
An estimated 3 out of every 25 men are left handed. Hence, 12 percent(%) of the men are left handed.
Step-by-step explanation:
Help me please??????
Answers
Answer:
Option D, 40
Step-by-step explanation:
90 + 50 = 140
180 - 140 = 40
Answer:
40
Step-by-step explanation:
180-90+50=40
brainliest appreciated
1. Given: 3(x - 6) + 10 = 31
Prove: x = 13
Answers
Answer:
The Answer is proved.Step-by-step explanation:
If you like this answer then mark this answer as BRAINLIEST answer....Thank you ☺️☺️
7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150
Answers
Answer:
C
Step-by-step explanation:
What is the slope of this line
Answers
What is the answer to this question? If x=y, then 6x=6y
Answers
Answer:
This is a true statement. I think that's what you're asking.
Step-by-step explanation:
It is true because if x=y, than 6x=6y because both sides have a 6 and x=y
Use compositions to verify that g and g^-1 are in fact inverses.
g(x): 1/x+2
g^-1(x): 1/x - 2
Answers
Answer:
as written there, they are not inverses
proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1
Step-by-step explanation:
g(g^-1(x)) == x if they are indeed inverses
1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses
HELP ME PLEASE!!!!!!
Find the remainder when f(x) is divided by (x - k).
f(x) = 4x3 - 6x2 + 3x + 1; k= -2
Answers
Answer:
The remainder is -61
Step-by-step explanation:
The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-r) is equal to f(r).
The given polynomial is:
[tex]f(x) = 4x^3 - 6x^2 + 3x + 1[/tex]
We need to find the remainder when f(x) is divided by x+2. According to the above-mentioned theorem, we only need to find f(-2) as follows:
[tex]f(-2) = 4(-2)^3 - 6(-2)^2 + 3(-2) + 1[/tex]
[tex]f(-2) = 4(-8) - 6(4) - 6 + 1[/tex]
[tex]f(-2) = -32 - 24 - 6 + 1=-61[/tex]
The remainder is -61
the value of x is the ____ degrees , and the value of y is ____ degrees.
Answers
Answer:
x = 112 y = 68
Step-by-step explanation:
g(x)=-7x+4 solve for (-5)
Answers
Answer:
39
Step-by-step explanation:
g(-5)=-7×(-5)+4=35+4=39
Answer:
g(-5) = 39
Step-by-step explanation:
g(x) = -7x + 4
g(-5) = - 7* (-5) + 4
= 35 + 4
= 39
Darpana solved the equation s = StartFraction a + b + c Over 3 EndFraction for a. Her steps are shown below: 1. Multiply by 3: s = StartFraction a + b + c Over 3 EndFraction. 3 s = a + b + c. 2. Subtract b: 3 s minus b = a + b + c minus b. 3 s minus b = a + c. 3. Divide by c: StartFraction 3 s minus b Over c EndFraction = a. Which statement about Darpana's work is true? In step 1 she needed to divide by 3 rather than multiply. In step 2 she needed to add b rather than subtract. In step 3 she needed to subtract c rather than divide. Darpana solved the equation correctly.
Answers
Answer:
Option (c) is correct.
Step-by-step explanation:
Given equation is :
[tex]s=\dfrac{a+b+c}{3}[/tex]
The equation can be solved for a as follows :
Step 1.
Cross multiply the given equation
[tex]3s=a+b+c[/tex]
Step 2.
Now subtract b on both sides
3s-b = a+b+c-b
3s-b = a+c
Step 3.
Subtract c on both sides
3s-b-c=a+c-c
⇒ a=3s-b-c
The statement that is true for Darpana is " In step 3, she needed to subtract c rather than divide".
Answer:
the correct answer is c
Step-by-step explanation:
rounded to the nearest tenths place : 2.03
Answers
Answer:
2....................
Answer:
rounded to the nearest tenths place : 2.03 is 2.0
Step-by-step explanation:
it is because 3 is lower than 5 so the number would decrease and it will be 2.0
The point (4, 1) is reflected over the line y = –x to create Point B. What are the coordinates of B?
Answers
Answer:
(-4,-1) You flip them both and switch the signs.
Admission to a museum of natural history is 12 for adults and 6 for children. On a particular day, 500 people attend the museum and collect 5,160 in admissions.
Write a system of equations that can be used to find the number of adults tickets and child tickets.
How many adult tickets were sold?
How many child tickets were sold?
Answers
Answer:
bruh what are those prices i can just look this up on google lul
Step-by-step explanation:
What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?
Answers
Answer:
5
Step-by-step explanation:
Average rate of change is slope, which is change in y over change in x:
[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]
The average rate of change of the function is 5.
What is the average rate of change of a function?The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.
The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.
The value of the function for x = 6 is:
f(6) = 5(6) + 2
f(6) = 32
The value of f(x) for x = -2 is:
f (-2) = 5(-2) + 2
f(-2) = -10 + 2
f(-2) = -8
The average rate of change of the function is given by:
( f(6) - f(-2) )/ (6 - (-2))
= ( 32 - (-8))/ (6 + 2)
= ( 32 + 8)/8
= 40/8
= 5
Hence, the average rate of change of the function is 5.
Learn more about the average rate of change:
https://brainly.com/question/23715190
#SPJ2
The greater of two consecutive even integers is at most fifty less than five times the smaller. Which of these represents the inequality needed to solve for the smaller integer, x, as well as its solution?
Answers
Answer:
Inequality: 2x + 2 ≤ 5•2x - 50
Solution: x ∈ <6.5, ∞)
Step-by-step explanation:
2x - the smaller of consecutive even integers
2x+2 - the greater of consecutive even integers
5•2x - five times the smaller number
5•2x-50 - fifty less than five times the smaller number
"is at most" means is less or equal
2x + 2 ≤ 5•2x - 50
2x + 2 ≤ 10x - 50
-2 -2
2x ≤ 10x - 52
-10x -10x
-8x ≤ -52
÷(-8) ÷(-8)
x ≥ 6.5
x ∈ <6.5, ∞)
if 3x-8= -2,find the value of x -6
Answers
Answer:
error
Step-by-step explanation:
you have a defined value by not having a Y so you basically can not put x=-6 because x actually equals 2!
h(x)=-x^2+6x. So what is the value of h(2)
Answers
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Quadratic polynomials can be factored using the transformation [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex], where [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the solutions of the quadratic equation [tex]ax^2+bx+c=0[/tex]:
[tex]-x^2+6x=0[/tex]✺ All equations of the form [tex]ax^2+bx+c=0[/tex] can be solved using the quadratic formula:
[tex]-b=\frac{+}\\\sqrt{b^2-4ac}\\~~~~~~~~~~~~~2a[/tex]✺ The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction:
[tex]x=\frac{\sqrt{-6\frac{+}\\\sqrt{6^2}}}{2(-1)}[/tex]✺ Take the square root of [tex]6^2[/tex]:
[tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{2(-1)}[/tex]✺ Multiply [tex]2[/tex] times [tex]-1[/tex]:
[tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex]✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is plus. Add [tex]-6[/tex] to [tex]6[/tex]:
[tex]x=\frac{0}{-2}[/tex]✺ Divide [tex]0[/tex] by [tex]-2[/tex]:
[tex]x=0[/tex]-OR-
✺ Now solve the equation [tex]x=\frac{\sqrt{-6\frac{+}\\{6}}}{-2}[/tex] when ± is minus. Subtract [tex]6[/tex] from [tex]-6[/tex]:
[tex]x=\frac{-12}{-2}[/tex]✺ Divide [tex]-12[/tex] by [tex]-2[/tex]:
[tex]x=6[/tex]✺ Optional : Factor the original expression using [tex]ax^2+bx+c=a(x-x_{1})(x-x_{2} )[/tex]. Substitute [tex]0[/tex] for [tex]x_{1}[/tex] and [tex]6[/tex] for [tex]x_{2}[/tex]:
[tex]-x^2+6x=-x(x-6)[/tex]✩ Answer:
✺ Factored Form: [tex]x(x-6)[/tex]
✺ Exact Form: [tex]x=6[/tex]
✺ Graph Point Form: [tex]x=(6,0)[/tex]
[tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
"ටᆼට"
What is the line parallel to y = 3x + 5 that passes through the point (-8,4) in SLOPE INTERCEPT FORM
Answers
Answer:
y= -3/5 x
Step-by-step explanation:
i do not know
Answer:
y = 3x + 28
Step-by-step explanation:
Slope intercept form is y=mx+b. Because it is said that the line were looking for is parallel I can put in the same slope. Parallel lines always have the same slope.
Then plug in the coordinates to find the y-intercept.
4 = 3(-8) + b
4 = -24 + b
+24 +24
28 = b
So we know that b is equal to 28 so we can plug that in to get y = 3x + 28
Hope that helps and have a great day!
Given M = the set of counting numbers and N = the set of even numbers, find M - N.
need answer
Answers
Answer:
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Step-by-step explanation:
M = the set of counting numbers
set of counting number are are all the numbers which is used for counting.
They are also called Natural numbers
In numerical form set of counting numbers can be represented as
M = the set of counting numbers = 1,2,3,4,5,6,7,8,9..............................till infinity
N = the set of even numbers
set of even numbers all the counting numbers which are multiple of two
In numerical form set of counting numbers can be represented as
N = the set of even numbers = 2,4,6,8,10,12................so on till infinity
__________________________________
now we have to find M-N
it means from set of counting number, all the even numbers would be excluded
IN such case
If we exclude all the even numbers, then only odd numbers will remain.
M-N will be = 1,3,5,7,9,11,.....................................so on it till infinity
If we look it closely , the given set is set of odd numbers
odd numbers are counting numbers in form of 2n+1 where n = 0,1,2,3....
Thus,
M-N can also be said as set of odd numbers
M-N = set of odd numbers
M-N = 1,3,5,7,9,11,.....................................so on it till infinity
Please help I’ll give brainiest!!
Answers
I've got it!! So domain is x valued and range is y. Domain would be -3 ≤ x < 4 and range would be 1 < f(x) ≤ 6, I'm pretty sure !! because f(x)=y :))
Answer:
Domain x is -3 to 4 but not 4 Range y is 6 to 1 but not 1
Step-by-step explanation:
Open dot means not included closed means included