Answers
Answer:
a is 1
Step-by-step explanation:
[tex]a+\dfrac{1}{a}=2[/tex]
Multiply both sides by a:
[tex]a^2+1=2a[/tex]
Move everything to one side:
[tex]a^2-2a+1=0[/tex]
Factor:
[tex](a-1)^2=0[/tex]
By the zero product rule, a is 1.
Therefore, the expression is true, because:
[tex](1)^2+\dfrac{1}{a^2}=a^4+\dfrac{1}{a^4}=1+1=2[/tex]
Hope this helps!
Related Questions
Helena lost her marbles. But then she found them and put them in 4 bags with mmm marbles in each bag. She had 3 marbles left over that didn't fit in the bags. How many marbles does Helena have in all? Write your answer as an expression.
Answers
Answer:
She had four marbles in four bags. 4m. She had three more marbles.
Step-by-step explanation:
4y+3
Answer:
4m+3
Step-by-step explanation:
I had this same answer in Kahn and got it right
Samuel is x year old and
two years older than
his wife. What will be
the sum
Sum of their age
ton
years time
Answers
Answer:
Samuel : x
wife : y
sum of their age : 2+ x : 10
PLEASE GIMMI ANSWER ASAP
Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.
Answers
100% + 5% = 105 %
105/100 x 40$ = 42$
Answer:
hi the answer is 2$
Step-by-step explanation:
40 divided by 10 is 4 divided by 2 is 2
tell me if you need any more help please mark as brainliest
A nursery builds protective cylindrical covers, as shown, to protect seedlings from frost. The cover has a top, but no bottom. How many square feet of flexible plastic will be needed to build three dozen of the covers? The flexible plastic is sold by the square foot. the radius is 4 in and the height is 10 in
Answers
414.48 square feet is needed to make 3 dozen of the covers.
Step-by-step explanation:Step 1: Find the circumference, perimeter, of the circle.To find the circumference, you multiply the 4 by π, and π is 3.14, and you get 12.56.
Step 2: Find the area of the side, not including the circle.The 12.56 is literally the length of the side. The width is the height of the cover which is 10 inches. 12.56 multiplied by 10 is 125.6 square inches.
Step 3: Add them up.
125.6 + 12.56 is 138.16
Step 4: Multiply 138.16 by three dozen (36 [a dozen is 12]).138.16 multiplied by 36 is 4973.76 square inches.
Step 5: Convert 4973.76 square inches to square feet.12 inches is 1 foot so we divide 4973.76 by 12. You get 414.48 square feet.
HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is
A. Circle
B. Line
C. Rectangle
D. Oval
Answers
Answer:
Option C.
Step-by-step explanation:
Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.
A cylinder has two circular plane surface called edges (top and bottom) and curved surface.
If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.
It means, the cross section of plane and cylinder is a rectangle.
Therefore, the correct option is C.
The discriminant is b2 – 4ac = (–8)2 – (4)(2)(–10) =
Answers
Answer:
144
Step-by-step explanation:
b2 – 4ac =
(–8)^2 – (4)(2)(–10) =
64 + 80
144
FAST ANSWER PLEASE THANKS
Answers
Answer: D
Step-by-step explanation:
When you are asked what is the domain, you are basically asked what x values work for the function.
Multiply the function to get [tex]xe^x + 6e^x[/tex]
[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers
Its range is also all real numbers because the domain is continous for every single value you plug in
I'm just so lost...
Help!
Answers
Answer:
Step-by-step explanation:
The revenue from selling xshirts is r(x) = 12x.
The cost of buying x shirts is c(x) = 5x + 20
The profit from selling x shirts is p(x) = r(x)-c(x).
What is P(x)?
A. p(x)=7x+20
B. p(x)=17x-20
C. p(x)=17x+20
D. p(x)=7x-20
Answers
Answer:
D. [tex]p(x)=7x-20[/tex]
Step-by-step explanation:
[tex]r(x) = 12x\\c(x) = 5x + 20\\p(x) = r(x)-c(x)\\p(x)=12x-(5x+20)\\p(x)=12x-5x-20\\p(x)=7x-20[/tex]
Simply subtract the two functions from each other and simplify to get the result.
The volume of a cone-shaped hole is 50 pi ft cubed . If the hole is 6 ft deep, what is the radius of the hole?
Answers
Answer:
r = 5
Step-by-step explanation:
The formula for volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex]
h = 6
V = 50π
[tex]2\pi r^2=50\pi[/tex]
r = 5
what is 40.8 ÷ 6? Please explain how you got your answer
Answers
Answer:
6.8
How many 6's can go into 40?
6 + 6 + 6 + 6 + 6 + 6 = 36
6 6's
Subtract the amount off
40.8-36=4.8
How many 6's can go into 4.8?
0.6 + 0.6 +0. 6 + 0.6 + 0.6 + 0.6 + 0.6 + 0.6 = 48
0.8 6's
4.8 = 4.8 = 0
6 6's + 0.8 6's = 6.8 6's
6.8 is the answer
If you have any questions you can ask
Step-by-step explanation:
Need Answer ASAP will give branliest to the first right answer
The two-way table shows the number of students in a school who have rabbits and/or dogs as pets.
Have Rabbits
Do Not Have Rabbits
Total
Have Dogs
22
18
40
Do Not Have Dogs
23
27
50
Total
45
45
90
How many more students have rabbits than dogs?
1
4
5
10
Answers
ill mark you brainiest , please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Answers
Step-by-step explanation:
50cm/40m = 0.5m/40m = 0.0125 = 1/80
Who knows this, Find m∠UTS, if m∠UTV=x+15, m∠VTS=140∘, and m∠UTS=15x+15
Answers
Answer:
165
Step-by-step explanation:
First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate. Then, you substitute all the values that you provided for the angles. 15x+15=x+15+140. You then solve for x.
15x+15=x+155
14x=140
x=10
You then plug back in 10 for X in the value of m<UTS. 15(10)+15=165
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answers
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it. If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Answers
Answer:
3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
Step-by-step explanation:
Answer:
answer d
Step-by-step explanation:
edg 2020
evaluated 5x - (x + 3)2 for x = 2,
Answers
Answer:
0
Step-by-step explanation:
5x - (x+3)2
5x - (2x+6)
5x - 2x -6
3x - 6
3(2) - 6
6 - 6
0
Which is a correct first step in solving 5 - 2x < 8x - 3?
5 < 6x-3
3x < 8x - 3
5 < 10x - 3
2 - 2x < 8x
Answers
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
Answer:
5 < 10x - 3
Step-by-step explanation:
5 - 2x < 8x - 3?
Add 2x to each side
5 - 2x+2x < 8x - 3+2x
5 < 10x - 3
What is the missing step in the proof? i need help
Answers
In need of help PLEASE!!!!
Answers
Answer:
a bc I think it's right idk really
Step-by-step explanation:
jdlaifnshfjtjtjfjdjsjdurbxusnejskshduanwufnrudjdjfkgkgjdjfjgktjvinehdovndintivnsjvolebvinebfirbxjbwhgoenchbtijbegijrgcihegcinrhd
An angle between 180’ and 360’
Answers
Step-by-step explanation:
you start with 90 then 180 then270 then 360
help!!! ill mark brainliest!
Answers
Answer:
90
Step-by-step explanation:
My brother got that same question and he did it with his class
Krishne wants to measure the mass and volume of a key. Which tools should she use?
Answers
Answer:
a balance and a beaker of water
hope it helps mark as brainliest
Answer:
water and beaker, and other science tools
Step-by-step explanation:
Mrs. Smith’s students are trying to guess her age. She gives them 3 clues: (1) “My age is a factor of 60.” (2) “My age is a multiple of 5.” (3) “My age is more than 20 but less than 50.”
a
How old is Mrs. Smith?
Answers
Explanation:
The factors of 60 are 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, and 6 and 10.
The next clue eliminates every number except 5, 10, 15, 20, 30, and 60.
5, 10, 15 are less than 20 and eliminated (60 is eliminated because it is more than 50).
20 is eliminated because it is not greater than itself and so Mrs. Smith must be 30.
The graph represents Daniel's bike ride from his home to the ballpark and then back home. Which BEST describes Daniel's bike ride between points C and D?
The time Daniel spent gradually speeding up
the time daniel spent gradually slowing down.
Daniel's fastest rate of speed during his ride.
The time Daniel spent at the ballpark.
Answers
the slope of the line between c and d are a constant meaning that he must have been riding at the same speed or something
d
Answer:
On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.
write 10 examples of cuboid in our daily life
Answers
Answer:
Ten examples of cuboids in our daily lives are:
1.Shoeboxes
2.Bricks
3.Matchbox
4.Books
5.Mattresses
6. Juice box
8. Fridge
9.Bathroom cubicle
10.Cabinet
Step-by-step explanation:
I really hope this helps
5. A car uses 10 litres of petrol in 75 km. How far will it go on 8 litres?
Answers
Answer:
60km
Step-by-step explanation:
75/10=x/8
Solve For X
75*8=600, 600/10=60
THEREFORE
75/10=60/8
You could ALSO Divide 75 by 10, get 7.5, and multiply THAT by 8, as the car is assumed to have constant gas usage
Answer:
60km
Step-by-step explanation:
Let x represent the required distance.
Since the quantity of petrol is directly proportional to the distance:
x : 75 = 8 : 10
i.e. [tex]\frac{x}{75}[/tex] = [tex]\frac{8}{10}[/tex]
x = [tex]\frac{75 * 8}{10}[/tex]
x = 60
∴ The distance is 60 km.
Hope this helps!!!
The formulae for kinetic energy is E =-mv2.
Find the value of E when m= 900 and v=1.3,
Answers
Answer: ΔKE = 760.5 Joules
Step-by-step explanation:
Isnt the formula for ΔKE = 0.5m*v^2???
Im not going to use that formula you gave me, its wrong.
900/2 = 450
1.3^2 = 1.69
450 x 1.69 = 760.5 Jules
This is also the wrong subject btw
What is the mid point of the segment shown below please help
