Answers
Answer:
The sum of reciprocals is 2/3.
You don't need complex numbers to solve this, but if you try to find a and b you will need complex numbers.
Step-by-step explanation:
a+b = 2
a*b = 3
1/a + 1/b = x
(a*b)*(1/a + 1/b) = (a*b)x
b + a = (a*b)(x)
2 = 3x
x = 2/3
b = 2 - a
a*(2 - a) = 3
-a^2 + 2a = 3
-a^2 + 2a - 3 = 0
a^2 - 2a + 3 = 0
let's solve the quadratic equation
a^2 - 2a + 3 = a^2 - 2a + 1 + 2 = (a - 1)^2 + 2 = 0
(a - 1)^2 = -2
[tex]a_1 - 1 = \sqrt{2}i\\a_1 = 1+\sqrt{2}i\\\\a_2 - 1 = -\sqrt{2}i\\a_2 = 1 - \sqrt{2}i\\[/tex]
these options correspond to a and b from the original question.
Related Questions
find the length of x please.
Answers
Answer:
x = 7.5
I used the Pythagorean theorem:
[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest? Thanks!
please help for brainliest, ONLY PART C!!!!
(PLS note that brainliest can only be given when there are 2 answers, if ur the only person that responded i cannot give u brainliest, this i s bc u can only b the brainliest answer out of 2, but you cant be the brainliest answer out of only u, if that makes sense]
Answers
Answer:
They played 4 games and paid $19
Step-by-step explanation:
4x + 3 = 2x + 11 (You basically have to solve for X)
4x - 2x = 11 - 3 (move like terms together)
2x = 8
x = (8/2)
x = 4
This means they had to play 4 games.
To get how much they paid, just plug 4 into any one of those given equations (They will both give the same answer).
4x + 3 ⇒ 4(4) + 3 = $19
To check if this is true,
2x + 11 ⇒ 2(4) + 11 = $19
Therefore, they paid $19
Answer:
$19 and played 4 games
For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth. A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.
Answers
Answer:
[tex]A=17.99\ in^2[/tex]
Step-by-step explanation:
Given that,
A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.
We need to find the area of the cloth.
The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h[/tex]
Where
[tex]h=\sqrt{a^2-\dfrac{b^2}{4}}[/tex]
So,
[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}[/tex]
Put a = 6 and b = 8.5
So,
[tex]A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2[/tex]
So, the area of the cloth is equal to [tex]17.99\ in^2[/tex].
Sascha deposited $600 in a simple interest saving account. In one year the value of the account increased to $621
Answers
Answer:
:)
Step-by-step explanation:
:)
Hi guys! I really need help with this because im so stressed with my other classes and i need to pass this class in order to graduate. can someone help
Answers
Answer:
30
Step-by-step explanation:
For a right triangle there is a formula ---> a² + b² = c² ("c" is always the side not touching the right angle)
24² + 18² = c²
576 + 324 = c²
900 = c²
30 = c
The 3rd side is 30
Mrs. Richardson wants to rent patio chairs for a party. Rick’s Rentals charges $3.50 per chair and $35 for delivery. Dean’s Discount Rentals charges $5 per chair and $20 for delivery. How many chairs would Mrs. Richardson need to rent in order for Rick’s Rentals to have the same price as Dean’s Discount Rentals?
11
76
75
10
Answers
Answer:
maby awser b.76
Step-by-step explanation:
tell me if this helps
Hasina and her sister Jaqa ride their bikes to school.
Hasina starts first. The equations show the distance
each girl is from home m minutes after Jada starts.
What is the solution of the system of equations? What
does this mean in this situation?
Hasina: d = 300m + 1,500
Jada: d= 300m
Answers
The solution to the system of equations is d = 300m, which means that after Jada starts, both Hasina and Jada will be 300m away from home.
The solution to the system of equations is d = 300m. This means that after Jada starts, both Hasina and Jada will be 300m away from home. This is because the equation for Hasina states that she is 300m + 1500m away from home. Since Jada is starting second, she will only be traveling 300m from home. Therefore, the solution of the system of equations is d = 300m.
To solve the system of equations, we can use substitution. First, we can substitute 300m for d in Jada's equation. This gives us 300m = 300m, which is a true statement. We can then substitute this value for d in Hasina's equation, which gives us 300m + 1500m = 300m. To solve for m, we can subtract 1500m from both sides, giving us 0 = -1500m. To isolate m on one side, we can divide both sides by -1500, giving us -1 = m. This means that after Jada starts, both Hasina and Jada are 300m away from home.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ1
Giving brainliest show work pls ! Ty
Answers
Answer:
1/2
Step-by-step explanation:
total of the pockets
= 8
the probability
= 4/8
= 1/2
Select the expression that is equivalent to 48 ÷ 12
A. 6 (8 + 6)
B. 12 (4+1)
C. 4 (44 +3)
D. 8 (6+4)
Answers
Given:
Consider the expression is:
[tex]48+12[/tex]
To find:
The expression that is equivalent to the given expression.
Solution:
We have,
[tex]48\div 12[/tex]
It can be written as:
[tex]48\div 12=12\times 4+12\times 1[/tex]
Taking out the GCF, we get
[tex]48\div 12=12(4+1)[/tex]
Therefore, the correct option is B.
Answer:
b. 12 (4+1)
Step-by-step explanation:
hope this helps you {ribbit}
~tsu-chan :p
y = 2x - 4 y = x + 1
Solve using substitution.
Answers
Step-by-step explanation:
heres tue answer. hope that helps
Answer:
x=5,y=6
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
In what way is a debit card similar to a check? a. You must always provide a signature to use either. b. Both always take a few days to clear, so there is some float time until the payment goes through. c. Both pull money directly from a checking or savings account. d. Both charge interest on the purchases you make with them.
Answers
Answer:
both pull money directly from a checking or savings account.
Answer:
c
Step-by-step explanation:
Find the height of the cuboid when the l=12 b=4 h=? Surface area =352 cm cube
Plssss answer me fasttt
Answers
Answer:
h=8
Step-by-step explanation:
Fast fast!jjdbdbdjdjdbxjdj
No links!!!
Please help me
Answers
Answer:
B one
They only cross once on the graph
A triangle has two angles that measure 73 degrees and 38 degrees.
What is the measurement of the third angle? ( please help)
Answers
Answer:
The third is sixty-nine degrees
Step-by-step explanation:
73°+38°+69°=180°
Name four things that you can find on both a dot plot and box plot.
Answers
Answer:Dots, Lines, Box's, and Circles.
Step-by-step explanation: You're welcome
what is the exponential equation
Answers
Solve for y is x=4:
y=2x+3
Answers
Answer:
y = 11
Step-by-step explanation:
Given:
x = 4
y = 2x + 3
y = 2(4) + 3
y = 8 + 3
y = 11
A jewelry prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches. What is the width of the box?
Answers
Answer:
volume = (length × Width × height)
(567/2) = (9×) × (17/4) × (w)
283.5 = 38.25w
w= 7.41inches
which is the explicit formula for the sequence above?
Answers
Answer:
aₙ=5*4ⁿ⁻¹
Step-by-step explanation:
The common ratio is r=80/20=20/5=4
The explicit formula for a geometric sequence is aₙ=a₁*rⁿ⁻¹ where aₙ is the nth term, r is the common ratio, and a₁ is the first term.
Given:
a₁=5
r=4
Therefore, the explicit formula for the sequence is aₙ=5*4ⁿ⁻¹
Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please
Answers
Answer: The closest one would be 3052.1
Step-by-step explanation:
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answers
Answer: The answer is 8.808!
Step-by-step explanation: So you need to subtract 1.192 from 10
and its suppose to give you 8.808.
Help please no links
Answers
Grapes-2.25$
3x+2.25y=14
x+y=5
y=5-x
3x+2.25*(5-x)=14
3x+11.25-2.25x=14
0.75x=14-11.25
0.75x=2.75
x=3.(66)=3.67pound (cherry)
y=5-3.67=1.33pound(grapes)
PLEASE I don't understand how to do this, 50 Points for anyone who solves it!
Check attachment below
Answers
Answer:
170°Step-by-step explanation:
∠WYX is the inscribed angle and equal to half of the intercepted arc WX
mWX = 2m∠WYX = 2(42x + 1) = 84x + 2Sum of arc measures add to 360°:
29x - 1 + 65x + 3 + 84x + 2 = 360178x + 4 = 360178x = 356x = 2Plug in the value of x and find measure of the arc WX:
mWX = 84*2 + 2 = 170°a cylinder with height 8 units has a volume of 72 cubic units. what is the radius of the cylinder?
Answers
Answer:
r= 1.69
Step-by-step explanation:
The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?
$15
$28
$172
$244
Answers
Answer:
the answer is 28
Step-by-step explanation:
i know this because i got it wrong and it told me
2 4/8 - 1 3/4 pls help i got 1 min
Answers
Answer:
1 1/8
Step-by-step explanation:
Ayden invested $560 in an account in the year 1990, and the value has been growing exponentially at a constant rate. The value of the account reached $700 in the year 1994. Determine the value of the account, to the nearest dollar, in the year 2002.
Answers
I'm not sure but I think is 1,00
find the measurement K explain in detail how do you solved for measurement k or upload a picture of your detailed work
Answers
Answer:
m<K = 63
Step-by-step explanation:
Exterior angle thm:
6x - 9 + 4x + 7 = 118
10x - 2 = 118
10x = 118 + 2
10x = 120
x = 12
m<K:
6x - 9
6(12) - 9
72 - 9
63
A quadrilateral has 4 congruent angles but does NOT have 4 congruent sides.
The quadrilateral must be a...
A) Rhombus
B) Square
C) Rectangle
D) None of the above
Answers
Answer:
rectangle
Step-by-step explanation:
in a rectangle, all 4 angles are 90° but only opposite sides are congruent
A rock sinks 160 feet in 20 seconds. Find the average rate of change per second.
Answers
to check our worker can multiply our feet by 20, in which we get 160.