Answer:
C. The statement is false. Geometry is an axiomatic system where the accepted principles are the undefined terms point, line and plane.
Step-by-step explanation:
The 4 basic characteristics of axiomatic systems are:
Undefined terms (or primitive terms) Axioms (or postulates) Theorems Laws of logicThe undefined terms or primitive terms of geometry are points, lines and planes that at some point meet or join together. This is called incidence, since geometry studies their relationship. E.g. 3 lines that form a triangle on a plane.
What is the slope of the line that passes through the points (5, -11) and (-2, 10)?
calculate without using tables the values of
(1+√2)⁴ - (1-√2)⁴
=========================================================
Work Shown:
A = 1+sqrt(2)
B = 1-sqrt(2)
-------------------
Using A and B, let's add and subtract those values
A+B = (1+sqrt(2))+(1-sqrt(2))
A+B = 1+sqrt(2)+1-sqrt(2)
A+B = 1+1+sqrt(2)-sqrt(2)
A+B = 2
and
A-B = (1+sqrt(2))-(1-sqrt(2))
A-B = 1+sqrt(2)-1+sqrt(2)
A-B = 1-1+sqrt(2)+sqrt(2)
A-B = 2sqrt(2)
-------------------
Next, square both sides of the A equation
A^2 = (1+sqrt(2))^2
A^2 = (1+sqrt(2))(1+sqrt(2))
A^2 = 1(1+sqrt(2))+sqrt(2)(1+sqrt(2))
A^2 = 1+sqrt(2)+sqrt(2)+sqrt(2)*sqrt(2)
A^2 = 1+2sqrt(2)+2
A^2 = 3+2sqrt(2)
-------------------
Do the same for B
B^2 = (1-sqrt(2))^2
B^2 = (1-sqrt(2))(1-sqrt(2))
B^2 = 1(1-sqrt(2))-sqrt(2)(1-sqrt(2))
B^2 = 1-sqrt(2)-sqrt(2)-sqrt(2)*(-sqrt(2))
B^2 = 1-2sqrt(2)+2
B^2 = 3-2sqrt(2)
There's a bit of nice symmetry going on with A^2 and B^2, due to A and B having similar symmetric structures themselves.
-------------------
Lets add A^2 to B^2
A^2+B^2 = (3+2sqrt(2)) + (3-2sqrt(2))
A^2+B^2 = 3+2sqrt(2) + 3-2sqrt(2)
A^2+B^2 = 3+3+2sqrt(2)-2sqrt(2)
A^2+B^2 = 6
-------------------
Now onto the final event
We'll use the difference of squares rule twice
Afterward, apply substitution using the previous sections above.
A^4 - B^4 = (A^2)^2 - (B^2)^2
A^4 - B^4 = (A^2-B^2)(A^2+B^2)
A^4 - B^4 = (A-B)(A+B)(A^2+B^2)
A^4 - B^4 = (2sqrt(2))(2)(6)
A^4 - B^4 = 2*6*2*sqrt(2)
A^4 - B^4 = 24*sqrt(2)
(1+sqrt(2))^4 - (1-sqrt(2))^4 = 24*sqrt(2)
-------------------
To check this with your calculator, you can type in the following
(1+sqrt(2))^4 - (1-sqrt(2))^4 - 24*sqrt(2)
The result you should get should be 0, or very close to it
I'm using the property that if x = y, then x-y = 0.
Can someone help me please
Answer:
y = 119
x = 29
Step-by-step explanation:
write a situation to represent the equation y=0.5x
Answer:
Johnny earns 50 cents each hour, x.
Step-by-step explanation:
Answer:
Ariana wanted to buy cashews at the grocery store. Cashews are $0.5 per ounce. If Ariana has $10 how many ounces of cashews can she buy
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Solve each equation for x.
8. d= f+ fx
Answer:
(d/f)-1=x
Step-by-step explanation:
d=f+fx
d-f=fx
(d-f)/f=x
(d/f)-1=x
Is anyone good a geometry
Answer:
IT dependsssss
Step-by-step explanation:
what kind?
in a survey, 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer ice cream
Answer:
63 people
Step-by-step explanation:
Given parameters:
Number of students survey = 32
Number of those that liked ice-cream = 8
Total population size = 252
Unknown:
How many people in the population should prefer ice cream = ?
Solution:
From the survey;
8 out of 32 students prefer ice cream;
8 : 32
1: 4
This shows that 1 out of 4 students will prefer ice cream
NOw to the total population;
If out of 4 students, 1 prefers ice-cream;
Out of 252 students y will prefer ice-cream
Number of students that prefers ice-cream = [tex]\frac{252}{4}[/tex] = 63people
I need help! yes I’m this dumb
Find The Unit Rate:
150 students for 5 classes. How many students per class?
Answer:
30 student
Step-by-step explanation:
150/5=30
Answer:
he unit rate would be 30 students per class.
Step-by-step explanation: One way to find the unit rate in this scenario, we could divide the total students by the number of classes. (150/5) The simplified fraction would be 30/1, or 30 students per class. Hope this help You!!!!!!!!!!!!!
please help asap!!!!!!!!
Answer:
y=-3x-5
Step-by-step explanation:
y = mx+b
m= -11 - 1
2 - -2
y=-3x+b
(-2,1) and (2,-11)
is
y=-3x-5
Hope this Helps:)
im failing pls help !!!!!
Answer:
ill suck ya wang
Step-by-step explanation:5$ and ill suck yo wang to do your homework
Answer:
It is C.
Step-by-step explanation:
If you multiply 2 times 2 you get 4. Then multiply 4 by 5 and you get 20.
Therefore, it is C.
Please read and analyze the prompt and answer both A and B to receive full credit. Both parts of the question must be written in a complete sentence.
a. On a hot day, a football team drank an entire 50- gallon cooler of water and half as much again. How much water did they drink?
b. Jada has 12 library books checked out and Han has LaTeX: \frac{1}{3}1 3 less than that. How many books does Han have checked out?
Answer:
b. Graph each equation. c. How long will it be before Alberto has read more ... Since the answer works in both equations, (3.1, 115) ... First, solve the first equation for y to get 2x − 6 = y.
Please help! I’ll give BRAINLIEST :))
If the converse of a statement is true, can you determine wether the inverse of the statement is true without seeing the actual statement? Explain please!
Answer:
yes
Step-by-step explanation:
well converse is
If q, then p
and inverse is
If no p, then not q
butttttt lets put this in human terms
If I am allergic to donuts, then I don't like to eat donuts.
and the inverse is
If I don't like to eat donuts, then I am allergic to donuts.
It is true no matter what! However, there could also be other reasons you don't liek donuts but nonthless this is one true reason that exists bc converse.
A community orchestra is losing money. They have always sold tickets for
$12, but they decide to increase the price by $3. For their next concert, they
sell 200 tickets at the increased price.
Select the expression representing the amount of money earned from ticket
sales.
Answer:
$3,000
Step-by-step explanation:
you add $3 to $12 and that's $15.so,know you multi..15 by 200.
-1/2 x+1 = -x+8
choices:
7
1/2
14
18
Answer:
14
Step-by-step explanation:
can you please mark this brainliest if it helped? <3
Answer:
x =14
Step-by-step explanation:
-1/2 x+1 = -x+8
Add x to each side
-1/2 x +x+1 = -x+x+8
1/2x +1 = 8
Subtract 1 from each side
1/2x +1-1- =8-1
1/2x = 7
Multiply each side by 2
1/2x *2 =7*2
x =14
Find the value of f(-6).
y = f(x)
Answer:
i believe the answer is 4
Step-by-step explanation:
Find the percent of change
if the price of a $10 game is
marked up to $15.
Answer:
50%
Step-by-step explanation:
10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.
( worth 74 points and brainliest pls help)
Answer:
40 CMStep-by-step explanation:
If you check the measurement
of the other line, it will NOT match the one
on the side. It is a few centimeters bigger than the bottom.
hope this helps! <3
Answer:
[tex]\Large \boxed{\sf 40}[/tex]
Step-by-step explanation:
The triangle is a right-angled triangle
Use Pythagorean Theorem formula to solve for hypotenuse
[tex]\displaystyle c=\sqrt{a^2+b^2}[/tex]
Substitute in the values
[tex]\displaystyle c=\sqrt{24^2+32^2}=40[/tex]
IF f(x) = -3x – 2; FIND f(3)
Step-by-step explanation:
f(3) = -3(3)-2
=-9-2
=-11
A designer determined the annual profit in dollars from selling t- shirts using p (n) = 10n - 50, where n the number t-shirts sold. What is the annual profit if the designer sells 100 t- shirts
F. $8,050
G. 10,000
H. 1,000
J. $950
Answer:
J. $950
Step-by-step explanation:
p(n)= 10n-50
p(n)=10(100)-50
P(n)=1000-50
950
What is the speed of a car that is traveling at 75,000 meters in 5,400 seconds.
Answer:
13.9
Step-by-step explanation:
Speed=distance/time
S=75,000/5,400
S=13.8 repeating OR (rounded) 13.9 m/s
Please help me it’s timed! :,(
Answer:
A = 0.5714
basically the answer is option (d)
Aha:/ help me please
Step-by-step explanation:
y<3x-6,x=0 for y>-3x-5,y=0
y<-6 x<-5/3
y=0,x>2 x=0, y>-5
therefore, values of x will be 2<x>-5/3
and values of y will be -5<y>-6
so the point will be (-9,-1)
hope it helps.
Solve for x,
3x+5=14
Answer:
x = 3
Step-by-step explanation:
First, isolate the variable by subtracting 5 on both sides:
3x=9
Then, divide both sides by 3:
x = 3
Find the rate of change
Answer:
6 to 4 or 3 to 2
Step-by-step explanation:
To sove we need to find hypatonuse which you can do by counting across the bottom whichis 4 units and across the top which is 6 units so 6/4 which is 3 to 2 or 6 to 4
What’s is the absolute value of -6? use the number line to help answer the question.
Please help I’ll mark you brainliest and give you a good rating!
Answer:
6
Step-by-step explanation:
So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.
Answer:
C (6)
Step-by-step explanation:
The absolute value of -6 is 6 since it's 6 spots away from the 0 on the number line
how do I solve -15+w=6
Ans
Add 15 to 6 so w= 21
Step-by-step explanation:
a number k is less than 3 units from 10
Answer:
-7 < k < 7
Step-by-step explanation:
The absolute value of the variable k will be less than 7.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result. The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
A number k is less than 3 units from 10. Then the equation is given as
k + 3 < 10
Simplify the equation, then the value of the variable k will be
k + 3 < 10
k < 10 - 3
k < 7
The absolute value of the variable k will be less than 7.
Your question was incomplete, your question was probably be...
A number k is less than 3 units from 10.
What's the absolute value inequality?
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
What is the length of the graphed line segment
Answer:
acc. to me it should be
[tex] \sqrt{50} [/tex]
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.
Answer: 35x+50x_<(less than or equal to)1,325
Step-by-step explanation:
it’s easy and I’m taking the test and got it right