Answer:
(½x+½y)²=6
Step-by-step explanation:
x^2 + y^2 = 14, xy=5
(A+B)^2=A^2 +2AB+B^2... (*)
(1/2x+1/2y)^2 =(*)
(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =
1/4x^2 +1/2xy+1/4y^2=
1/4(x^2 +y^2) +1/2(xy)=
1/4*14+1/2*5=
14/4+5/2=
14/4+10/4=
24/4=6
let me know if I'm wrong.
( 1/2x +1/2y)²
= { ( x + y )/ 2xy }²
= ( x² + 2xy + y² )/4(xy)² —(1)
As we know that x² + y² = 14 — (2)
and xy = 5 —(3)
So, substitute the value of equation 2 and 3 in equation 1,
= ( x² + 2xy + y²)/4(xy)²
=( 14 + 2*5)/(4*5²)
= 24/(4*25)
= 6/25.
Find the value of x within the triangle
Answer:
68.46
Step-by-step explanation:
In order to find the angle, we can use the cosine rule:
c²=a²+b²-2abCos(c)
And rearrange for Cos(c)
(please note that c in this case is x)
So,
x=Cos^(-1) (a²+b²-c²)/2ab
By substituting the values, we get x=Cos^(-1)(4²+4²-4.5^2)/2(4)(4)
=68.46
1 1/3 of 15
[tex]\frac{x}{y}[/tex]
Answer:
[tex]11 \div 3 \times 15 \\ 11 \div 1 \times 5 \\ 11 \times 5 \\ = 55[/tex]
find the missing number so that the equation has no solutions ?x-4=4x-11
Answer:1
Step-by-step explanation:I took the test
why is this not a polynomial?
3^x - x/3 + x^3
Answer:
It is not a polynomial because the polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative entegral value or we can say natural number. The power of the variable × here is not an integer so 3/× is not a polynomial
Step-by-step explanation:
I hope I helped you
Answer:
below
Step-by-step explanation:
-x/3 + x³ is polynomial
3ˣ IS NOT a polynomial, it makes the function be an "exponential function", which does not fit the criteria of polynomial definition.
U= 1 A solution to the inequality below??
10>u
Answer:
Yes
Step-by-step explanation:
10>1
Complete the multiplication problem to find the answer.
Answer:
A
Step-by-step explanation:
Answer:
a) 39.71
Step-by-step explanation:
For brainily please help
[tex]\sf 19=7x-2x[/tex]
Answer:
[tex]3\dfrac{4}{5}[/tex]
Step-by-step explanation:
19 = 7x - 2x
19 = (7 - 2)x
19 = 5x
Divide both side by 5
19/5 = x
[tex]x=3\dfrac{4}{5}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Value of x is equal to ~
[tex] \boxed{3.8}[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
[tex]19 = 7x - 2x[/tex][tex]5x = 19[/tex][tex]x = 19 \div 5[/tex][tex]x = 3.8[/tex]What letter comes after f
Answer:
g.....
Step-by-step explanation:
g.....
the letter is g
The letter g comes after the letter f.
What are Alphabets?An alphabet is a set of graphs or characters used to represent the phonemic structure of a language
The english alphabets are a, b, , c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u , v, w, x, y and z.
The alphabets help to form the basis of our language and communication for a lifetime.
There are twenty six letters in the english alphabets.
As we see the order of alphabets.
The letter g is next to the letter f.
They help to form the basis of our language and communication for a lifetime.
Hence, the letter g comes after the letter f.
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Sheila has investments totaling $8000 in two
accounts. The savings account pays 6% interest and the
other account is in bonds paying an interest rate of
11%. If the annual interest from the two investments
totaled $780, how much did she invest in each account?
The amount she invested in each account is:
$6,000 invested at 11%
$6,000 invested at 6%
Let x represent the amount invested at 11%
Hence:
.11x+.06(8000-x)=780
.05x+480=780
Collect like terms
.05x=300
Divide both side by .05x
x=300/.05
x=$6,000
Inconclusion the amount she invested in each account is: $6,000 invested at 11% and $6,000 invested at 6%.
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Simplify 2x2 + 3x2 + 3x
Answer:
10+3x
Step-by-step explanation:
2(2) = 4
3(2) = 6
4+6 = 10
10+3x
Answer:
Step-by-step explanation:
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
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[tex]\frac{2}{5}[/tex](6-5p)
Answer: -2x + 12/5
Step-by-step explanation:
help on this question.....
Answer:
25
Step-by-step explanation:
17 / 0.68 = 25
check your answer?
25 * 0.68 = 17
:)
Answer:
the answer is 26
Step-by-step explanation:
can someone please help me fill in the answer in the bottom.
Answer:
Step-by-step explanation:
1) Initial water level = 30 feet
2) Rate of change = (30 - 25) / (0 - 1) = 5/(-1) = -5
5ft per hour
3) y-intercept = 30
Need help ASAP please <3
the table given below shows the number of miles that teddy had been runninf over some of the past ten weeks
The number of miles that he runs per week can be represented as a linear function. What would be
the rate of change of this function in miles per week?
A) 1
B) 3
C) 6
D) 10
The rate of change of this function in miles per week is 3 miles per week.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a table as shown in the question.
The rate of change in miles per week is -
(19 - 13)/(3 - 1) = (22 - 19)/(4 - 3)
6/2 = 3/1
3 = 3
3
Therefore, the rate of change of this function in miles per week is 3 miles per week.
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your friend says that there are 36 feet in 12 yards is your friend correct? explain your reasoning.
PLEASE HURRY!!
Answer:
Yes
Step-by-step explanation:
1 yard is 3 feet. so 12 yards is 36 by 12*3
Simplify to create an equivalent expression
-5(3p+3) + 9(-7+p)
The answers are:
A)-5p-78
B)-6p-78
C)-6p-48
D)-6p+78
Joe drove 315 Thousand five hours at the same rate how many miles do you drive in 7 hours?
Answer:
441 miles
Step-by-step explanation:
1st find rate from the given
D = RT
315 = 5R
63 = R miles/hour so,
then find distance for 7 hours
D = RT
D = 63 * 7
D = 441
Answer:
Item 3. 4 3/8
Item 4. 4/9
Item 5. 4/3
Item 6. 1/8
Item 7. 0.8
Item 8. 5.20 or 5.2 (You can choose which to put)
Item 9. 1 7/8
Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000
Step-by-step explanation:
A number is first increased by 20 and then doubled. The result is 2 less than 5 times the number
set up an equation:
2(x+20) = 5x - 2
Simplify:
2x +40 = 5x - 2
Add 2 to both sides:
2x + 42 = 5x
Subtract 2x from both sides:
42 = 3x
Divide both sides by 3:
x = 42/3 = 14
The number is 14
Answer:
The answer is 14
Step-by-step explanation:
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
Hello Carousel!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.
a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Please refer to the attached picture for the answers with steps included.
NOTE :-
The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).__________________
Hope it'll help you!
ℓu¢αzz ッ
A tub of water drains at 3 gallons per minute. y-12=-3(x-1)
Solve and graph the solution.
|4x-13| = 5x+4
Answer: x = -17
Step-by-step explanation:
4x-13=5x+4
(4x-13)+(13-5x)=(5x+4)+(13-5x)
4x-13+13-5x=5x+4+13-5x
4x-5x-13+13=5x-5x+4+13
-x=17
x=-17
Answer:
x = -1
Step-by-step explanation:
/4x-13/ = 5x + 4
4x +5x = -13 +4
9 x = -9
9x = -9
x = -1
I need to factor this problem PLEASE HELP ASAP
Answer:
[tex] - 3x(x - 3)^{2} [/tex]
Step-by-step explanation:
[tex] - 3x^{3} + 18x - 27x[/tex]
->
[tex] - 3x( {x}^{2} - 6x + 9)[/tex]
->
[tex] - 3x(x - 3)^{2} [/tex]
victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the desire height ?
Answer:
40
Step-by-step explanation:
1. Change 48 cm to mm, which will give you 480 mm
2. Divide 480 mm by 12 mm, that will give you 40
Therefore, Victor needs 40 books to make his desired height.
the probability distribution of all possible values of the sample proportion is the
Answer: The sampling distribution of p is the probability distribution of all possible values of the sample proportion p.
What is the x intercept of this quadratic/parabola?
Answer:
-3, 1
Step-by-step explanation:
There are actually 2 x-intercepts of the parabola. You can find them simply by looking along the x-axis and seeing where the lines of the parabola touch the axis, so -3 and 1.
Hope this helps :)
Answer:
1 and -3
Step-by-step explanation:
At x-intercept y = 0
So, parabola intersect x-axis at two places (1 , 0) and (-3 , 0)
X-intercepts are 1 and -3
Un paralelogramo con una base de 13cm y una altura de 8cm, su área es de
Answer:
Step-by-step explanation:
Need a bit of help here
Answer:
Answer 1 is 4:2 or also write as 2:1.
factor the expression using the gcf 2t-10