9,000
I hope this helps!
If log(x + y) = log 3 + ½log x + ½log y, prove that x² + y² = 7xy
Answer:
See Explanation
Step-by-step explanation:
[tex]log(x + y) = log3 + \frac{1}{2} logx+ \frac{1}{2} logy \\ \\ log(x + y) = log3 + logx ^{\frac{1}{2}} + logy ^{\frac{1}{2}}\\ \\ log(x + y) = log3 + log(xy) ^{\frac{1}{2}} \\ \\ log(x + y) = log[3(xy) ^{\frac{1}{2}}] \\ \\ x + y = 3(xy) ^{\frac{1}{2}} \\ \\ squaring \: both \: sides \\ {(x + y)}^{2} = \bigg(3(xy) ^{\frac{1}{2}} \bigg)^{2} \\ \\ {x}^{2} + {y}^{2} + 2xy = 9xy \\ \\ {x}^{2} + {y}^{2} = 9xy - 2xy \\ \\ \purple{ \bold{{x}^{2} + {y}^{2} = 7xy}} \\ thus \: proved[/tex]
someone plz help radius is 1.5 ft
Answer:
Area =
[tex]\pi {r}^{2} [/tex]
=3.14×1.5^2
=3.14×2.25
=7.065
Hence the area of circle is 7.065.
answer???
Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
Below
Step-by-step explanation:
To find Ken's leftover amount of money, all you need to do is subtract what he spent from his initial amount :
$30 - $5 - $6.50 - $7.21 = $11.29
So, Ken has $11.29 left after he goes to the fair
Hope this helps! Best of luck <3
7b,for b=5 give me n suer for that
Answer:
35
Step-by-step explanation:
7b
7(5)
35
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\frak{7b}}}\\\huge\boxed{\rightarrow{\frak{7(5)}}}\\\huge\boxed{\rightarrow\frak{35}}}\\\huge\boxed{\frak{Answer: 35}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Ever since Anthony started going to the gym 4 days per week he has been taking a protein supplement after his workouts. One scoop of his protein powder gives him 20 grams
of protein, which is 25% of the protein he wants to take every day to help build muscle. How many grams of protein does Anthony take for the entire day (100%)
Mathematics, fractions-
How do you solve this?
Answer:
It would be A) 2 1/2
Step-by-step explanation:
Just looking at this problem because it doesn't say that there is any to begin with so it just would be 2 1/2
Aidan read 5 pages for every 3 pages
that Mark read. If Mark read 14
fewer pages than Aidan, how many
pages did Aidan read?
und
pagis
-
1
5
5
Answer:
35 pages
Step-by-step explanation:
5-3=2
14÷2=7 sets
Hence, no. of pages Aiden read=5×7
=35 pages
Now
[tex]\\ \sf\longmapsto 5:3=x+14:x[/tex]
[tex]\\ \sf\longmapsto \dfrac{5}{3}=\dfrac{x+14}{x}[/tex]
[tex]\\ \sf\longmapsto 5x=3(x+14)[/tex]
[tex]\\ \sf\longmapsto 5x=3x+42[/tex]
[tex]\\ \sf\longmapsto 5x-3x=42[/tex]
[tex]\\ \sf\longmapsto 2x=42[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{42}{2}[/tex]
[tex]\\ \sf\longmapsto x=21[/tex]
[tex]\\ \sf\longmapsto x+14=21+14=35[/tex]
whats 100x20x40 if you get it you get mark brainly
Answer:80000/80k
Step-by-step explanation:
Answer:
800000Step-by-step explanation:
100 × 20 × 40
= 2000 × 40
= 80000 (Ans)
in a farm 6084 trees aer planted in such a way that there are as many trees in a row as there are row. how many rows are there?
Answer:
78 trees
Step-by-step explanation:
No. of trees planted = Area of square
No. of trees planted = 6084
Row = side of square
Side = √(Area)
Side = √(6084)
Side = 78 trees
A cab company charges $3 per cab ride,
plus an additional $2 per mile driven. How
long is a cab ride that costs $11?
miles
Answer:
The answer is c = 2 + 3d .
Step-by-step explanation:
It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :
Let c be the cost,
Let d be the distance,
c = 2 + 3d
name a point that is 20 units away from (5,-2)
Answer:
Distance between both points is 20units.
Applying the Distance between Points Formula
d= √(y₂-y₁)²+(x₂-x₁)²
x₁= 5 y₁=–2
x₂= ? y₂= ?
20 = √ [y -(-2)]² + (x - 5)²
Taking the square of both sides to eliminate the square root on the right.
20² = ( y + 2)² + (x - 5)²
400 = y² + 4y + 4 + x² – 10x + 25.
400 = x² + y² – 10x + 4y + 29.
x² + y² – 10x + 4y = 400 – 29
x² + y² – 10x + 4y = 371--------------eqn 1.
We called that eqn 1 cause we need another equation to solve this.
To solve an Equation with 2 variables... You need 2 equation.
To solve that of 3 variables.... you need 3 equations(Basic Math Rules).
We're dealing with 2 variables in this case(x, y).
Now
We'd need to think in order to create another equation that'll satisfy the distance or point.
We know that the distance between both Points(known and unknown) is 20.
Half that distance is 10.
The distance of 10 will occur at the center of these 2 points.
So lets apply the formula for Mid point to get the coordinate of the center.
Midpoint
let p be the x position and q be the y position of the midpoint
p = (x₁ + x₂)/2. q = (y₁ + y₂)/2
Starting from the know point (5 , -2)
x₁=5 y₁=–2
p = (5 + x)/2. q = (–2 + y)/2
p = (x + 5)/2 q = (y–2)/2.
This is the coordinate of the Midpoint.
Now We know that the distance between (5, -2) and [(x + 5)/2 , (y–2)/2] is 10(midpoint).
Applying the distance between points again.
d = √(y₂ - y₁)² + (x₂ - x₁)²
x₁= 5 y₁= -2
x₂= (x + 5)/2 y₂= (y–2)/2
10 = √[(y–2)/2 -(-2)]² + [ (x+5)/2 – 5)]²
10 = √[(y–2)/2 + 2]² + [(x+5)/2 – 5)]²
Squaring both sides to remove square root on the right and also Taking the LCM in each bracket
We have
10² = [ (y + 2)/2]² + [ (x–5)/2]²
Distributing the "2" on the denominator to each individual number in the parentheses.
100 = (y/2 + 1)² + (x/2 – 5/2)²
100 = y²/4 + y + 1 + x²/4 –5x/2 + 25/4.
Multiply through by 4 to clear fractions.
400 = y² + 4y + 4 + x² – 10x + 25
Rearranging
x² + y² – 10x + 4y = 371.
Hmm...
Equation 1 and 2 Are the Same.
Something is Wrong!
Pls Recheck the Question
I do believe that One value of the unknown point should be given.
I maybe be wrong somewhere else too.
Pls correct in the comment section if you spot it.
the points that are 20 units away from (5,-2) will be (25, -2), (-20, -2), (5, 18), (5, -22), and so on.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
Given the coordinates of the point (5,-2).
Technically 20 units away from the given coordinates will make a circle with a radius of 20 units and the center with (5, -2).
Any point that lies on the perimeter of the circle will be our point
for easy understanding add or subtract 20 from either x or y coordinates of the points.
We will get our desired coordinates for instance:
(25, -2), (-20, -2), (5, 18), (5, -22), and so on,
Learn more about coordinates here:
https://brainly.com/question/20282507
#SPJ2
multyplying monomials
Answer:
-36x^12
Step-by-step explanation:
-6 times 6 is -36
x^8 times x^4 is x^12
so the answer is
-36x^12
Hope this helps!
Quintina decided to increase the deduction percentage of her federal income tax rate from 14% to 16%. Quintina’s gross pay per month is $2,100. Her deductions before the change are listed in the table.
Deduction
Dollar Amount
Federal Income Tax
$294
State Income Tax
$89
Social Security
$85
Medicare
$35
What is her new monthly net pay? Round your answer to the nearest dollar.
$1555
$1591
$1595
$1639
Mark this and return
Answer:
ok good Step 1
Write your problem.
537.95 x 9.5% = ?
Step 2
Convert the % to a decimal:
9.5% to 0.095
Step 3
Rewrite the problem with decimal replacing the percentage.
Now the problem looks like this:
537.95 x 0.095 = 51.11
This problem gives the amount of the tax.
Step 4
Add the original price with the tax amount:
537.95 + 51.11 = $589.06 (total cost)
Step-by-step explanation:
Find the GCF of
36 and 80
Answer:
The GCF of 36 and 80 is 4.
Step-by-step explanation:
What is |—14|?
A. —14
B. —7
C. 7
D. 14
E. 1 1/4
Answer:
14
Step-by-step explanation:
If the negative was outside of the lines, then the answer would be -14, but that is not the value. It is 14.
Answer:
D
Step-by-step explanation:
-14 is in Absolute Value signs. This means that if a number is in the absolute value signs, It's always positive. So that leaves us with C, D, or E. Absolute value signs also mean they are the same number as if it was negative, so that tells us that the answer is D!
Brother’s homework..
Answer:
1 1/12
1 11/12
Step-by-step explanation:
Cross multiply 3/4 and 1/3 which gives you 9/12 and 4/12
Add them together 9/12 + 4/12 = 13/12
Reduce 13/12
1 1/12
So she needs 1 11/12 more
The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are there?
Answer:
56 sodas
Step-by-step explanation:
3 pepsi: 4 coke so to get 24 pepsi: x coke you'd have to multiply the ratio by 8 --> this leads you to 24 pepsi: 32 coke
Add pepsi value and coke value to get total number of sodas:
24 + 32 = 56
if a and b are roots of the equation ax²+bx+c=0 obtain the value of a/b +b/a
[tex]\\ \sf\longmapsto \dfrac{a}{b}+\dfrac{b}{a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{a^2+b^2}{ab}[/tex]
[tex]\\ \sf\longmapsto \dfrac{(a+b)^2-2ab}{ab}[/tex]
How to solve this question?
Answer:
:P
Step-by-step explanation:
Jason works at Dell and earns $16.30 per hour for the first 40 hours of the week and then earn 1.5 times his regular rate. How much does he earn in the first 40 hours? B. How much overtime pay does he earn in 50 hours
please help meee
find:
x=
y=
z=
Hi there!
(z)
We know that the two segments with "z" are congruent, so:
z + 15 = 5z + 9
Solve for z:
15 = 4z + 9
6 = 4z
z = 3/2
(y)
We know that (7y + 6) = 90° (indicated by the square angle), so:
7y + 6 = 90
7y = 84
y = 12°
(x)
Segments (x + 26) and (3x - 8) are congruent, so:
x + 26 = 3x - 8
26 = 2x - 8
34 = 2x
x = 17
squareroot of 39 to the nearest whole number ?
A contractor buys screws for $1.55 per box and nails for $1.05 per box, Write an equation for the total
cost. Then find the cost of 3 boxes of screws and 5 boxes of nails.
Answer:
1) $2.6
2) $9.9
Step-by-step explanation:
for the first one, you first add $1 with 1$ and you would get 2 and then you do 55 cents plus 5 cents which would get 60 cents and then you get $2.60.
For the second one, you multiply 2.60 by 3 and you get $7.80 and you still have $2.10 left so you add that to $7.80 then you get $9.9
Write in word form 10x10
Answer:
ten times time
Step-by-step explanation:
ten time ten or ten multiple by ten
give brainliest please I need it to level up
Answer:
Ten times Ten or ten over ten
the inequality -15<-6 is given. divide both sides of the inequality by 3.
i got -5<-2 but it said it was wrong?
thank you!!
9514 1404 393
Answer:
your answer is correct
Step-by-step explanation:
It seems possible that the intent is for division by -3, which would give the result ...
5 > 2
If you are asked to divide by 3, your answer is correct:
-5 < -2
What rule describes the translation shown?
Answer:
6 to the left 4 down (-6,-4)
Simplify the expression 5(8-m)
Answer:
5(8-m)
5 x 8 = 40
5 x m = 5m
40-5m
Step-by-step explanation:
Y’all help✊jeidjxixoiskdixjcj
Answer:
5/9
Step-by-step explanation:
If a garden hose can fill up a 5 gallon
container in 3 minutes, then how long
would the garden hose take to fill a 15
gallon container?
Answer:
9 minutes
Step-by-step explanation:
We can write a proportion to solve
5 gallons 15 gallons
-------------- = ---------------
3 minutes x minutes
Using cross products
5x = 3*15
5x = 45
Divide by 5
5x/5 = 45/5
x = 9
f(n) = 7n – 5
Evaluate
n = -3
Answer:
=-26
Step-by-step explanation:
f(n) = 7n – 5
Let n = -3
f(-3) = 7*(-3) – 5
Multiply first
= -21-5
=-26
