Answer:
3
Step-by-step explanation:
The slope of a line parallel to another should be the same, therefore the answer is 3. To ensure the lines do not overlap make sure the y-intercepts are different.
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.
What is the equation of the line that passes
through the points (4, -3) and (2, 3).
Answer:
24
Step-by-step explanation:
(4-3) + (23) = 24
30 is what percent of 125? Please help
Answer:
24%
Good Luck!!!
Answer:4.85
Step-by-step explanation:
The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.
Answer:
l = [tex]\frac{P-2w}{2}[/tex]
Step-by-step explanation:
Given
P = 2(l + w) ← distribute right side
P = 2l + 2w ( subtract 2w from both sides )
P - 2w = 2l ( isolate l by dividing both sides by 2 )
[tex]\frac{P-2w}{2}[/tex] = l
Answer:
l=‒2w+p/2
Step-by-step explanation:
p=2(L+w)
p=2L+2w(add ‒2w on both sides)
‒2w+p=2L+2w-2w
‒2w+p=2L
‒2w+p/2=2L/2
L=‒2w+p/2
i hope it helps you.
Which card is incorrect and why?
A.1
B.2
C.3
Answer:
1
Step-by-step explanation:
You must divide the 7 from all parts of the equation, not only from the y.
Answer:
A because that is the way you have to write it
Brainliest who wants it?? 15 x 15 - 31 + 46 - 5 + 12 =______
Answer:
247
Step-by-step explanation:
Answer: 247
Step-by-step explanation: 247
Someone help me w 8 and 9 please please
Evaluate the function for x = 3 * f(x) = x2 – 2x + 6 O x=9 O x = 6 O x=21 O x = 4
Answer:
When you input values for x, you can determine a single output for y. ... f(x)= 4x + 1 is written in function notation and is read “f of x equals 4x plus 1. ... perimeter, P = 4s, as the function p(x) = 4x, and the formula for area, A = x2, as a(x) = x2. ... in both cases, you substitute 2 for x, multiply it by 4 and add 1, simplifying to get 9
Step-by-step explanation:
got it off of google
please answer If I get this right I'm done for the week I will give brainiest if you're right!!!
Lots of points
Use cross products to demonstrate whether or not the two ratios are equivalent: 4/6 and 14/21
Answer:
The answer is true.
Step-by-step explanation:
[tex] \frac{4}{6} = \frac{14}{21} \\ 84 = 84[/tex]
Because the last equation, 84=84, is true, then the ratios are true.
0.6×100 is equal to
Answer:
60
Step-by-step explanation:
.6 x 100 = 60
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
P(2,3) thats the answer ;)
Amanda babysits and Petra does yard work on weekends. The graph relating Amanda’s earnings to the number of hours she babysits passes through the points (0,0) and (4,24). The table below relates petra’s earnings to the number of hours she does yard work
Answer:
in 4 hrs she earned $24. So each hour she is paid $6
Step-by-step explanation:
If your balance is $90 dollars & you have to pay a $10 deposit fee how much left do you have to pay
Answer:
90 minus 10 is 80 so $80 left
Rounded 1.402 to the nearest thousand
Answer:
Your answer is: It is already rounded to the nearest thousandth.
If you rounded to the nearest hundred your answer is: 1.40 or 1.400
If you rounded to the nearest tenth your answer is: 1.4
Step-by-step explanation:
Hope this helped : )
please help am confused
Answer:
9%Step-by-step explanation:
432 ÷ 6 = 72
8 = 1% of 800
8 x 9 = 72 = 9%
Step-by-step explanation:
I = P×r%×t
432 = 800 × r/100 × 6
432 = 4800 × r/100
[tex]r = \frac{432 \times 100}{4800} [/tex]
r = 9%
julie is having a nail salon day.She needs to spend $5 for nail polish, $3 for nail polish remover, and $2 for cotton balls.if she does 5 of her friends' nails for $10 each, what will her profit be?
Answer:
Her profit will be $40
Step-by-step explanation:
Answer:
Her profit would be $50
Step-by-step explanation:
The nail polish is $5, Remover is $3, Cotton balls are $2, That all adds up to ten.
And She has 5 of her friends so Ur multiplying 10 by 5
$10 times 5 equals to $50
30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!
Answer:
Its should be A.....
Step-by-step explanation:
(Ignore I have to write 20 characters lol)
PLSSSS HELP can someone show me how would this look on a graph f(x)=−3[x+2] I need all the points
Answer:
hope this helps :)
Step-by-step explanation:
Action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection?
Answer:
64 DVDs
Step-by-step explanation:
25% = 16 DVDs
25%x 4 = 16x 4
100% = 64 DVDs
If action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
First step is to convert the decimal to fraction
16÷24÷100
Second step is to reduce the fraction
16÷1÷4
Third step is to divide the fraction by multiplying its reciprocal in order to determine how many DVDs does Sara have in her collection
16×4
=64
Inconclusion if action movies make up 25% of Sara’s DVD collection. If she has 16 action DVDs, how many DVDs does Sara have in her collection will be 64
Learn more here:
https://brainly.com/question/1087213
A shark is swimming 70 feet below the
surface of the ocean. It dives down 9 more
feet to catch a fish. What is the shark's
location relative to the surface of the water?
Write the expression for this situation. Then
solve.
Answer:
He is 79 ft below the surface
Step-by-step explanation:
Answer:
79 feet below
Step-by-step explanation:
-70-9=-79
Mrs. Deblinsky purchases 850 shares of Cracker Barrell at 45.20 per share. She pays a 1.5% commission to her broker for the transaction. After a year, she sells her holdings for 41.90 a share, using a discount broker who charges $19 per trade. What was her net capital loss?
Answer: 3362
Step-by-step explanation:
Based on the question, the cost price for the shares will be:
= (850 × 45.20) + 1.5%(850 × 45.20)
= 38420 + 0.015(38420)
= 38420 + 576.3
= 38996.
Selling price will be:
= (850 × 41.9) + 19
= 35615 + 19
= 35634
Net capital loss = 38996 - 35634
= 3362
Which equations represent this fact family ? Check all that apply
Answer:
9-11=20
and
20-11=9
Step-by-step explanation:
20+11=31, not 9- the first one is not the answer
20+9-29, not 11- the third is incorrect
11-20=-9, not 9- fifth is not it
. John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. *
Complete question :
John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. * 1 point A. The shirt will have the lowest price with the $20 off coupon. B. The shirt will have the lowest price with the 20% off coupon. C. The shirt will cost the same with either coupon. D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
Given two different coupon options :
First: 20% off
Second = $20 off
To our hase with one which enables one to pay the amount of money :
The price of the shirt will determine which of the coupons will give the least amount. For instance, a shirts which which cost below $100 will require the $20 off coupon in other to attain the least payment amount. However for shirts which cost above $100, the 20% coupon yield the least amount. Shirts which cost $100. Both coupons yields the same discount amount.
Using exponents, what is the simplified form of (−3x 4 y 2 ) 2 ?
Answer:
Step-by-step explanation:
The chosen topic is not meant for use with this type of problem. Try the examples below.
|−4|+|−4|3+i+(3−2i)(y−3)(y+3)
What is the missing exponent? and the numerical answer
Answer:
? = -4
Step-by-step explanation:
7x - 3x + 2 = 8x - 6
Answer:
x=2
Step-by-step explanation:
Which ordered pair is in the solution set of 2x - 5y ≥ 10?
a.(-2,1)
b.(-5,-2)
c.(0,5)
d.(6,0)
(3,5)
Step-by-step explanation:
Answer:
5,0
Step-by-step explanation:
Use the website Desmos to help u in this question
A large glass marble made in West Virginia has a diameter of zuset meters. The state of West Virginia is about 4-5 meters la lengun Wine's closest to how many large glass marbles it would take to measure the length of West Virginia?
A. 2×10^-10
B. 2×10^-9
C. 2×10^3
D. 2×10^7
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Answer:
whats the question
Step-by-step explanation:
whats the question
Answer:The rest of the question is: Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Step-by-step explanation:
Took the test
Joe earned $130 one week and $125.50 the next week. After depositing these amounts in his account, he had a total of $335.
How much was already in his account before he deposited the $130 and $125.50?
Answer:
79.50
Step-by-step explanation:
suma 130 mas 125.50 y el resultado de esta se los restas a el total.