[tex] \large \boxed{ {a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab}[/tex]
The formula is derived from the (a+b)² which can be expanded as:
[tex] \large \boxed{ {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }[/tex]
Now since we only want a²+b² and not 2ab. We can add -2ab after (a+b)² which result in (a+b)²-2ab. This formula is pretty useful it comes to higher maths.
Answer
a²+b² = (a+b)²-2abIf this is not what you are looking for then let me know through comment!
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
The total amount paid by a member according to this table is
Total Amount Paid = fee + monthly fee(# of months)
Since the fee is the same regardless of how many months one signs up for, it should come out the same for each row in our table.
Row 1:
TAP = fee + 15(#months)
135 = fee + 15(4) and
135 = fee + 60 so
fee = $75
Row 2:
165 = fee + 15(6) and
165 = fee + 90 so
fee = $75
Row 3:
255 = fee + 15(12) and
255 = fee + 180 so
fee = $75
Apparently, the fee is $75.
Share $2400 for three friends so that one friend gets twice as much as the smallest share and the other friend gets three times as much as the smallest share.
Answer:
smallest share = $400
second smallest share = $800
largest share = $1200
Step-by-step explanation:
Let the smallest share = x
amount one friend gets = 2x
second friend gets = 3x
2400 = x + 2x + 3x
2400 = 6x
x = 400
2 x 400 = 800
3 x 400 = 1200
find the slope of the line perpendicular to given line
Answer:
perpendicular slope = - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
Footlocker was selling Jordans. They bought the Jordan from Nike for $35. They bought 200 pairs of shoes. They sold the Jordans in their stores to the customers for $180. They sold out on the first day. How much did they make/Collect? What was their total expenses? What was their profit?
Answer:
I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones
A club raised 175% of it goal for a charity. The club raised $763.
use proportion please
Answer: The clubs goal is to raise $436.
Step-by-step explanation:
175% * x = 763 where x is the goal
1.75 *x = 763
1.75x = 763
x= 436
Which of the following accurately shows the range of the function defined below?
A.[3, infinity)
B.[2, infinity)
C.[3,6]
D.(- infinity, infinity)
Answer:
[2, positive infinity)
Step-by-step explanation:
the range is the interval of possible y-values or f(x) values.
for x<0 y is always and only 3.
for x between 0 and 2, y = x² + 2.
it clearly increases with increasing x. so, what is y for the smallest x ? the smallest x here is 0.
y = 0² + 2 = 2
for x larger or equal to 2, y = (1/2)×x + 5.
it again increases with increasing x. the smallest x here is 2.
y = (1/2)×2 + 5 = 1 + 5 = 6.
so, the smallest possible value for y is 2. and then it will approach positive infinity, when x approaches positive infinity. but it can never reach that (only after infinite time and at infinite x, so it is officially undefined), so that the interval is open on that end.
Define sinA?
Wrong answers will be reported .
So please give correct answer.
Answer:
In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse.
The abbreviation is sin. sin θ = opposite / hypotenuse.2 cosA sinB = sin(A + B) − sin(A − B) 2 cosA cosB = cos(A + B) + cos(A − B) 2 sinA sinB = cos(A − B) − cos(A + B)
Step-by-step explanation:
hi sushant
for another definition:-
Shina (word), or Sina (Japanese: 支那) means archaic Japanese word for China.
Find \sin(\beta)sin(β)sine, left parenthesis, beta, right parenthesis in the triangle.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{15}{8}
8
15
start fraction, 15, divided by, 8, end fraction
(Choice B)
B
\dfrac{8}{17}
17
8
start fraction, 8, divided by, 17, end fraction
(Choice C)
C
\dfrac{8}{15}
15
8
start fraction, 8, divided by, 15, end fraction
(Choice D)
D
\dfrac{15}{17}
17
15
start fraction, 15, divided by, 17, end fraction
Answer:
Its 15/17
Step-by-step explanation:
I did it on Khan
Based on the sine ratio, sin (β) in the right triangle is: D. 15/17.
How to Apply the Sine Ratio?Where the hypotenuse and opposite side lengths are known, the sine ratio is expressed as, sine β = opposite/hypotenuse.
Given the following:
Opposite side = 15Hypotenuse = 17Applying the sine ratio, we have:
sin β = 15/17
Learn more about the sine ratio on:
https://brainly.com/question/2920412
#SPJ6
which is the equation of a circle centered at the origin with radius 20?
Answer:
x^2 + y^2 = 400
Step-by-step explanation:
The equation for a circle is
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x-0)^2 + (y-0)^2 = 20^2
x^2 + y^2 = 400
The length of a rectangle is three times its width.
The perimeter of the rectangle is 96 cm.
Label the diagram with the correct length and width for the rectangle
cm
cm
What is the reference angle for 5pi over 3?
a. pi over 6
b. pi over 3
c. 2pi over 3
Answer:
b. pi over 3 ig~~~~~~~~~~~~~~~
Answer:
(b) pi over 3 is correct
Step-by-step explanation:
EDGE 2022
Mr Kent sells calculators for $35 each. If an order is placed from a business account, there is a $50 shipping fee, and no fewer than 100 calculators can be purchased. Which is a reasonable amount of money that a business would spend when ordering calculators?
Answer:
The reasonable amount is $3550 or greater
Step-by-step explanation:
Given
[tex]c=\$50[/tex] ---- shipping fee
[tex]r =\$35[/tex] --- unit selling price
[tex]n \to[/tex] number of orders
[tex]n \ge 100[/tex] ---- domain of order
Required
The reasonable ordering amount
The function for n calculator can be represented as:
[tex]f(n) = r * n + c[/tex]
This gives:
[tex]f(n)=35 * n + 50[/tex]
[tex]f(n)=35n + 50[/tex]
Recall that the domain is: [tex]n \ge 100[/tex]
So, we have:
[tex]f(n)=35n + 50[/tex] [tex]n \ge 100[/tex]
The reasonable amount of order implies that we calculate the range of the function
[tex]n \ge 100[/tex] implies that the minimum is 100
So:
Substitute 100 for n in [tex]f(n)=35n + 50[/tex]
[tex]f(100) = 35 * 100+50[/tex]
[tex]f(100) = 3500+50[/tex]
[tex]f(100) = 3550[/tex]
So, the range of the function is:
[tex]3550 \le f(n) < \infty[/tex]
Find the area of the square ABCD.
Answer:
A =196 m^2
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
A = 14^2
A =196 m^2
Translate this phrase into an algebraic expression.
49 decreased by twice Vanessa's age
Use the variable y to represent Vanessa's age.
Answer:
49 - 2y
Step-by-step explanation:
y to represent Vanessa's age.
49 decreased by twice Vanessa's age
decreased by means subtract, twice means 2 times
49 - 2y
which graph shows the line y = -3x + 1
The number of hours worked at a factory and the money earned is proportional. If an employee works 40 hours, they will earn $2500. How many hours does the employee work if earn $1500, Explain your reasoning
Do anyone know this question?
Answer:
average revenue
gross profit
total revenue
net profit
marginal revenue
Step-by-step explanation:
help meeeeeeeeeee!!!
Answer: 2.9166666666633333333333333333333
Step-by-step explanation:
Answer:
35/12
Step-by-step explanation:
A.step 1
B.step 2
C.step 3
D.step 4
Please help
Answer:
Step 3
Step-by-step explanation:
help please need to get this in today will mark brainlist
Answer:
acute
Step-by-step explanation:
it is acute because it is less than 90 degrees
I've been learning this but I don't remember how to find x?
Answer:56 degrees
Step-by-step explanation: Using Base Angles Theorem, we can conclude that angle x is 180-62*2, which is 180-124, which is 56 degrees.
Answer:
the answer is x = 56 degrees
and your not finding the side lengths
Step-by-step explanation:
there is 2 62 degrees,
meaning the TOP RIGHT ANGLE OF THE TRIANGLE IS 62 DEGREES if you can't find it in my answer and X IS EQUAL TO THE ANGLE OF 56 DEGREES if you can't read that either
so x = 56
Please hurry
Express cos J as fraction in simplest terms
Answer:
cosJ = 40/41
Step-by-step explanation:
cosJ = b/h = 40/√(40²+9²)= 40/41
8 1/3% as a common fraction.
Answer:
[tex]\frac{27}{100}[/tex]
Step-by-step explanation:
Given data:
[tex]\frac{81}{3}%[/tex]%
Now
It can be written as:
[tex]\frac{81}{3}[/tex]%=[tex]27[/tex]%
27%=[tex]\frac{27}{100}[/tex]
Therefore, common fraction will be [tex]\frac{27}{100}[/tex]
Answer:
2500/3
Step-by-step explanation:
[tex]8\frac{1}{3}[/tex] %
=(8*3+1/3) %
=25/3 %
=25/3 / 100
=25/3 *100/1
=2500/3
What is the range of the given function?
Answer:
you have it on the correct answer
Step-by-step explanation:
range is the y values, and its the lowest negetive to the highest positive
Does the equation y = x(x - 3) represent a linear function
Answer:
No
Step-by-step explanation:
No. You can see why if you remove the brackets.
y=x^2 - 3x.
A linear function must have x and y with powers of 1. Also it can't something like x^2 - y^2 = 5
x^2 - y^2 = 0 is the only exception I can think of, but that really is a system of equations. If you graph it. you get two equations which cross at 0 and nowhere else.
Keeping the place of the digit 6 in the number 6350947 same, the smallest number obtained by
rearranging other digits is
The smallest number is 6034579.
Answer:
6034579 hope this helps!!
explanation:
We should keep 6 where it is, then arrange the rest of the numbers from smallest to the greatest.
Brainliest, 35 points
Answer:
13 1/2
Step-by-step explanation:
9 ÷ 2/3
Copy dot flip
9 * 3/2
27/2
Change from an improper fraction to a mixed number
2 goes into 27 13 times with 1 left over
13 1/2
Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed
(#4 and #3 are solve for x)
Answer:
1) 720
2) 540
3) x = -1
4) x = 10
Step-by-step explanation:
The formula for finding the sum of interior angles in a polygon is the following,
[tex]S=180(n-2)[/tex]
Where (S) represents the sum of interior angles, and (n) represents the number of sides.
1)
The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]
2)
This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.
[tex]S=180(n-2)[/tex]
[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]
3)
The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.
(55) + (x + 36) + (90) = 180
Simplify,
181 + x = 180
Inverse operations,
181 + x = 180
x = -1
4)
The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.
<F + <G = <FEZ
Substitute,
(4x) + (-5 + 7x) = 105
Simplify,
4x - 5 + 7x = 105
11x - 5 = 105
Inverse operations,
11x - 5 = 105
11x = 110
x = 10
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
8/15 of an hour
Step-by-step explanation:
Add the fractions together
1/3 + 1/5
Get a common denominator
1/3 *5/5 = 5/15
1/5 *3/3 = 3/15
Add together
5/15 + 3/15 = 8/15
Answer:
8/15
Step-by-step explanation:
1/3 x 5 = 5/15
1/5 x 3 = 3/15
5/15 + 3/15 = 8/15
Suppose that 0.10 of population is colourblind if 25of sample drown from this population find probability that at least 7 have coroblind
Answer:
[tex]P(X \geq 8)=22*10^{-4}[/tex]
Step-by-step explanation:
From The Question we are told that
Prob that population is colourblind [tex]P(C)=0.10[/tex]
Sample size [tex]N=25[/tex]
Generally the equation for Number of color blinds is mathematically given by
[tex]P(X \geq 8)=\sum^{25}_{x=8}(25..x)(0.10)^x(0.90)^25-x[/tex]
[tex]P(X \geq 8)=22*10^{-4}[/tex]
