Answer\Step-by-step explanation:
0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2
⟹ 2xy≤x^2+y^2
⟹ xy≤ x2+y2\2
⟹ xy≤ x^2+y^2
since the clearly nonnegative real x^2+y^2
clearly satisfies x^2+y^2\2 ≤x^2+y^2.
The proof of the quadratic equation (x-y)²=x²-2xy+y² is given.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
Quadratic equation
(x-y)²=x²-2xy+y²
To prove the equation:
We substitute the value and see if LHS = RHS.
In the LHS,
LHS = (x-y)²
LHS = (2-1)²
LHS = 1
In the RHS,
RHS = x²-2xy+y²
RHS = 4 - 4 + 1
RHS = 1
LHS = RHS
Therefore, the theorem (x-y)²=x²-2xy+y² is proved.
To learn more about the quadratic equation;
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Help ASSp please work out the value of A
Answer:
A = 3x^2 - 3
---------------
2
Step-by-step explanation:
If the perimeter is 56 cm..
x - 1 + 3x + 3x + 1 = 56
7x = 56
x=8
The x - 1 side = 7
The 3x = 1 side - 25
The ex side = 24
The area of a triangle = base time height divided by 2.
So...
x-1 times 3x divided by 2 is your equation.
3x(x - 1) = 3x^2 - 3
A = 3x^2 - 3/2
Hope this is correct!!!
15-3x=-6 what is the answer
Answer:
x=7
Step-by-step explanation:
Ani spent a total of $7.53 at a store. She bought some cereal for $3.67. She also bought 6 peaches.
If each peach cost the same amount, which equation can be used to find the cost of each peach, P?
A. P = $7.53-6
B. P = $3.67 6
C. P= $7.53 - ($3.67=0
D. P= ($7.53 - $3.67) = 6
E. P= ($7.53 + $3.67) = 6
Answer:
D
Step-by-step explanation:
It says she spent $7.53 at the store and she bought (SOME) cereal for $3.67
so we have to find how much the 6 peaches cost. To find it out we are going to have to subtract the cereal she bought from $3.67 and the money she wasted total so its going to be D.
Find the Area: 12 ft 12 ft
a=12 ft
Po=(0.25×π×a²)
Pc=a²+0.5×Po
Pc=a²+0.5×(0.25×π×a²)
Pc=a²×(1+0.5×0.25×π)
Pc=a²×(1+0.5×0.25×π)
Pc=144×(1+0.5×0.25×π)
Pc≈200.55 ft²
Who ever gets this right gets branliest
Answer:
2 1/2
Step-by-step explanation:
Answer: 2 1/2
Step-by-step explanation: Its positive and lands between 2 and 3 halfway
Find the equation of the line
Use exact numbers
Answer:
y = 1x + -5
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.
y = mx + b ⇒ y = mx - 5
now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0) from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].
first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]
then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.
[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]
now simplify by subtracting 0 from 3 and 5 from 8.
3 - 0 = 38 - 5 = 3the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or 3 ÷ 3 = 1.
the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)
i hope this helps! have a lovely day <3
Plzzz help its easy points and easy question im just dum!! What is the slope view image below.
Answer:
0.5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
It's okay, you're not dum, you might have just not payed attention in online class or you might have forgotten.
We can find the slope by using 2 coordinates that are on a line.
We can choose any of the coordinates from this table. I'm gonna use (0, 4) and (2, 5)
The formula for find the slope is the rise over the run or
y1 - y2 / x1 - x2
4 - 5 / 0 - 5
-1 / -5
1/5
The slope is 1/5
Follow the steps to provide to answer the question
1. Find the greatest common factor of 8 and 12. 2. Use the Distributive Property and the greatest common factor to factor the expression &r-12 3.Write the equivalent expression.
Answer:
Step-by-step explanation:
1. Greatest Common Factor is the largest number that can be multiplied to get the product common to both product.
Factors of 8 Factors of 12
1 8 1 12
2 4 2 6
3 4
The GCF = 4
2. I need the expression rewritten in order to help you.
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an
hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
Answer:
32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies
Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16
If a dozen eggs cost $3.84 calculate the cost of 30 eggs
Answer:
a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs
THX mark me brainlyiest
please help me asap!!
Answer:
3
Step-by-step explanation:
If it is 10 on the big one and 5 on the small ones it is half. So half of 6 is 3
Answer:
f=3
Step-by-step explanation:
5/10=x/6
10x=30
x=3
Please help with this practice quiz!!
Answer:
slope is 9
Step-by-step explanation:
use the formula y=mx+b wherein m is the slope and b is the y-intercept
to solve for m, use formula (y2-y1)/(x2-x1):
[tex]\frac{127-1}{5-(-9)}[/tex] = [tex]\frac{126}{14}[/tex] (you add 5 and 9 together because negative + negative is positive)
126/14 = 9
Selena has been practicing archery at camp. In her first 20 attempts, she hut the target 12 times. Assume her success rate is the same in her next 100 attempts, how many times will she hit her target in 45 attempts
Answer:
22-23 I believe
sorry if it's wrong
Evaluate the expression when b=-7 and c=2.
b-6c
X 5
?
Answer:
-19
Step-by-step explanation:
-7 - 6(2) =
-7 - 12 =
-19
In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?
Answer:
If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:
3 cats
Step-by-step explanation:
21= number of dogs
c = number of cats
21 = 12 + (3c)
3c = 9
c = 3
Fire Warden Armband
$7.50 each
$6.50 each
First Aid Armband
$7.00 each
$6.00 each
Which of the following items showed the greatest percentage discount in price for
buying in bulk?
Jackets
Trousers
Rucksacks
Belts
Fire Warden Caps
Submit
© Copyright IBM Corp. 2012, 2021
Write an equation of a line in slope-intercept form given the slope (m) and the y-intercept (b).
Slope, m =-
y-intercept, b =7
7
Step-by-step explanation:
y = mx + b
y = -7x + 7
this assumes m = - 7 , it got chopped off, otherwise what ever slope is change the first 7 for that number.
Round The Following Number: 194,332.125
Answer:
The answer is 194000
Step-by-step explanation:
It is closer to 194000 than 195000
1. What is the range of frequencies a human ear can hear?
Answer:
Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.
(Human infants can actually hear frequencies slightly higher than 20 kHz, but lose some high-frequency sensitivity as they mature; the upper limit in average adults is often closer to 15–17 kHz.)
How do I Use the order of operations to simplify the expression. 1/3+1/5x1/9
Answer:
Step-by-step explanation:
1/3+1/5×1/9 = 1/3+1/45 = 9/45+1/45 = 10/45 = 2/9
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Let I = the event that a player is an infielder.
Let 0 = the event that a player is an outfielder
Let H = the event that a player is a great hitter.
Let N = the event that a player is not a great hitter.
Write the symbols for the probability that of all the great hitters, a player is an outfielder.
Answer:
P(H | I)
Step-by-step explanation:
Given that
Some players considered to be great hitters and some would be not great htters
So based on the symbols given in the question
For all the great hitters a player would be an outfielder
For this the symbol is
P(H | I)
The probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
Given information:
On a baseball team, there are infielders and outfielders. Some players are great hitters, and some players are not great hitters.
Lets assume,
I = the event that a player is an infielder. 0 = the event that a player is an outfielder. H = the event that a player is a great hitter. N = the event that a player is not a great hitter.It is required to write the probability that of all the great hitters, a player is an outfielder.
It is required that the player should be outfielder and hitter both.
So, the required probability can be written as,
[tex]P(O\cap H)[/tex]
Therefore, the probability that of all the great hitters, a player is an outfielder will be [tex]P(O\cap H)[/tex].
For further details refer the given link:
https://brainly.com/question/795909
Which one is true pls answer
Answer:
C. All rectangles are quadrilaterals.
Step-by-step explanation:
Quadrilaterals are shapes that have 4 sides, so all rectangles are quadrilaterals, along with squares, rhombus' and other 4 sided shapes.
Heather made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads
cost a total of $12.40, how much did each pendant cost?
Answer:
$2.80
Step-by-step explanation:
23.60 - 12.40 = 11.2
11.2 ÷ 4 = 2.80
$2.80
Can y’all help me please I need help
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
[tex]C=\pi (16)\\C=16\pi[/tex]
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
[tex]16\pi *10\\= 160\pi[/tex]
[tex]= 503[/tex] inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
PLEASE HELP PLEASEEEE
PLEASE I WILL GIVE YOU COOKIES.
Find the range of the function f(g)=3g-5 for the domain {-2,0,2}
{-9, -4, 5}
{-2, 0, 2}
{ -13, -7, -3}
{-11, -5, 1}
Answer:
option 4 {-11, -5, 1}
Step-by-step explanation:
range: set of output
f(-2)=3(-2)-5=-11
f(0)=3(0)-5=-5
f(2)=3(2)-5=1
Ez points-
2.72 divided by 3
Answer:
2.72/3=0.907 (correct to three decimal places)
Step-by-step explanation:
Question 3
Which reason below IS NOT one of the ways to prove that two triangles are congruent?
SSS
AAS
SAS
USSA
Answer:
Second one:
AAS
Step-by-step explanation:
searched it
Find the value of x.
a) 21
b) 27
c) 31
d) 34
Answer:
21 is the answer
a question arises how?? right
so, 3x+1
3×21+1
63+1
64
Answer:
a) 21
Step-by-step explanation:
Since, in the figure
64° = (3x+1)° [Vertically Opposite Angles]
=> (3x+1)° = 64°
=> 3x = 64° - 1° = 63°
[tex] => x = \frac{63}{3} [/tex]
=> x = 21 (Ans)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33