[tex]x = y - 14[/tex]
[tex]x = - \frac{y}{12} - \frac{7}{12} [/tex]
[tex]x = - 2y - 14[/tex]
Answer:
Go on brainly,cymath,calculator soup to find the answer
Step-by-step explanation:
Given that x²+ y² = 20 and xy = 7, calculate (x - y)².
Answer:
6
Step-by-step explanation:
[tex]Here,\\\\\hookrightarrow x^{2} +y^{2} =20\:and\:xy=7\\\\Now,\\\\\hookrightarrow (x - y)^{2} \\\\Applying\:formula\\\\\hookrightarrow (x-y)^{2} =x^{2} -2xy+y^{2} \\\\Then\: we\: get\\\\\hookrightarrow x^{2} -2xy+y^{2} \\\\\hookrightarrow x^{2} +y^{2} -2xy\\\\\hookrightarrow 20-(2\times7)[Because\:x^{2} +y^{2} =20\:and\:xy=7]\\\\\hookrightarrow 20-14\\\\\hookrightarrow 6[/tex]
Answer: (x - y)² = 6
Concept:
Here, we need to know the concept of FOIL.
It is a way to expand squared or greater exponents parenthesis.
F irstO uterI nner L astStep-by-step explanation:
Given information
x² + y² = 20
xy = 7
Given expression
(x - y)²
Expand parenthesis through FOIL
= (x - y) (x - y)
= x · x - x · y - x · y + y · y
= x² - 2xy + y²
Substitute values into the expression
= x² + y² - 2xy
= (20) - 2 (7)
= 20 - 14
= [tex]\boxed{6}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Choose whether the following statements are TRUE or FALSE. (10)
1.21.1 A kite is a square.
1.21.2 A rhombus is a kite.
1.21.3 A square is a rectangle.
1.21.4 A polygon is a quadrilateral.
1.21.5 A parallelogram is a trapezium
Answer:
1. False
2. False
3. True
4. False
5. False
1. A square contains all equal sides while a kite does not
2. A rhombus contains all equal sides while a kite does not
3. Yes, it’s a rectangle with equal sides however a rectangle is not a square
4. Other way around, a quadrilateral is a polygon
5. Parallelogram:
Opposite sides parallel
Opposite sides equal
Opposite angles equal
Diagonals bisect the parallelogram
Diagonals bisect each other
Trapezium:
One pair of opposite sides parallel
A spinner is spun 300 times. The spinner lands on D 36 times. What percentage is this?
How do you find the surface area of "most" 3D solids?
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
I hope this helps!
Elizabeth bought some orange juice from a store. The orange juice cost $3.58 for 11 fluid ounces. She wants to buy more fruit juice, but at the same price per ounce as the orange juice. Which of the following juices could Elizabeth buy?
Answer:
D) $5.21 for 16 fluid ounces of apple juice.
Peter plans to invest $2000 for 4 years. The 4 bank offers an interest rate of 6% using simple interest. How much will the he have in the account after 4 years?
Answer:
2480
Step-by-step explanation:
si=p.t.r/100
200*4*6/100=480
total in four years=si+2000
480+2000=2480
In an effort to make childrenâs toys safer and more tamperproof, toy packaging has become cumbersome for parents to remove in many cases. Accordingly, the director of marketing at Toys4Tots, a large toy manufacturer, wants to evaluate the effectiveness of a new packaging design that engineers claim will reduce customer complaints by more than 10 percentage points. Customer satisfaction surveys were sent to 220 parents who registered toys packaged under the old design and 220 parents who registered toys packaged under the new design. Of these, 81 parents expressed dissatisfaction with packaging of the old design, and 41 parents expressed dissatisfaction with packaging of the new design.
Let p1 represent the population proportion of parents that expressed dissatisfaction with the packaging of the old design and p2 represent the population proportion of parents that expressed dissatisfaction with the packaging of the new design.
Required:
a. Specify the null and alternative hypotheses to test for whether the proportion of customer complaints has decreased by more than 5% under the new packaging design.
b. What is the value of the test statistic and the associated p-value?
c. At the 1% significance level, do the results support the engineers' claim?
d. At the 10% significance level, do the results support the engineers' claim?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Old design samples(n1) = 220
New design samples (n2) = 220
P1 = 81/220 = 0.368 ; P2 = 41/220 = 0.186
Null hypothesis : p1 - p2 ≥ 0.05
Alternative hypothesis : p1 - p2 < 0.05
Using the test statistic formula :
t = (P1 - P2) / √[P(1-P)(1/n1 + 1/n2)]
P = (81 + 41)/(220 + 220) = 122/440 = 0.277
1 - P = 0.723
t = (0.368 - 0.186) / (√(0.277(0.723)(1/220 + 1/220)))
t = 4.265
P value from z test at α = 0.05
P value = 0.00002
Test for significance at α = 0.01 ;
Test for significance at α = 0.1
Result is significant at both α levels, hence reject the Null.
I need help with this arc length and sector area question
Answer:
65°
Step-by-step explanation:
Assuming that 130° is the measure of the center angle ROT, the circle angle sitting on the same arc (ie, the angle whose vertex is on the circle) is half of it, or 65°
Please help tons of points.
Factor the expression
X^2 + 12x + 144
The expression is not factorable with rational numbers.
Answer/Step-by-step explanation:
Can't be Factor with rational numbers.
As well as No Like term
~Learn with Lenvy~
Stuck and confused please just answer
Answer:438/1012
Step-by-step explanation:
find all solutions of the equation in the interval 0 2π)
equation: 2cosx+√2=0
━━━━━━━☆☆━━━━━━━━━━━━━━☆☆━━━━━━━
《Answer》
hope the answer helps
how can i find sine and cosine of a negative angle?
Step-by-step explanation:
Add 360 degrees to it.
Sin(-270)=sin (90)
Round the number. Write the result as a product of a single digit and a power of 10. 231,210
The result of 231,210 rounded and written as a product of a single digit and a power of 10 is 2 × 10^5
How to round numbers231,210 to the nearest whole
= 200, 000
Write as a product of a single digit and a power of 1020 × 10^5
Check:
20 × 10^5
= 2 × 10 × 10 × 10 × 10 × 10
= 2 × 100,000
= 200,000
Therefore, the correct answer is 2 × 10^5
Learn more about product:
https://brainly.com/question/11205910
Which situation could be represented by the expression c−5?
C) Isabelle has 5 fewer pieces of candy than Destiny.
c represents the pieces of candy Destiny has, and c - 5 represents the pieces of candy Isabelle has.
Find the sum of integers from 33 to 47
Answer: 600
Step-by-step explanation:
An integer simply means a particular number that's not a fraction or a decimal.
The sum of integers from 33 to 47 simply means:
= 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46+ 47
= 600
Therefore, the sum of integers from 33 to 47 is 600.
Think I might need a Tutor for my SAT.
Answer:
I can tutor, for math
Step-by-step explanation:
HELP PLZ
What points could not be a function that includes (3,4), (2,5), (0,-3), (1,6) and (4,1) ?
A. (6,7)
B. (-5,6)
C. (1,2)
D. (-3,-2)
Answer:
c
Step-by-step explanation:
cant have the same x as the other functions
Nonsense will be reported!!
Answer:
3y-2=10
Step-by-step explanation:
Given;
Which of the following does Not belong to the group?
2x > 5 - x
3(x-4) [tex]\leq[/tex] -23
3y - 2 = 10
a < 13a + 1
Solve;
Base on the given data, we can infer that "3y-2=10" does Not belong to the group. You can see that other have Python. Python has six comparison operators: less than ( < ), less than or equal to ( <= ), greater than ( > ), greater than or equal to ( >= ), equal to ( == ), and not equal to ( != ). While, "3y-2=10" doesn't have one.
As well as if you simplify/solve these other will be given as a fraction while "3y-2=10" answer is a whole number.
Solution of each given answer choice;
2x > 5 - x
Add x to both sides
2x + x > 5 - x + x
Simplify
3x > 5
Divide both sides by 3
[tex]\frac{3x}{3} > \frac{5}{3}[/tex]
x[tex]x=\frac{5}{3}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3 ( x - 4) [tex]\leq[/tex] - 23
[tex]3\left(x-4\right)\le \:-23\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-\frac{11}{3}\:\\ \:\mathrm{Decimal:}&\:x\le \:-3.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-\frac{11}{3}]\end{bmatrix}[/tex]
Divide both sides by 3
[tex]\frac{3\left(x-4\right)}{3}\le \frac{-23}{3}[/tex]
Simplify
[tex]x-4\le \:-\frac{23}{3}[/tex]
Add 4 to both side
[tex]x-4+4\le \:-\frac{23}{3}+4[/tex]
Simplify
x [tex]\leq -\frac{11}{3}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3y-2 = 10
Add 2 to both sides
[tex]3y-2+2=10+2[/tex]
Simplify
[tex]3y=12[/tex]
Divide both sides by 3
[tex]\frac{3y}{3}=\frac{12}{3}[/tex]
Simplify
y = 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a>13a+1
[tex]a > 13a+1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:a < -\frac{1}{12}\:\\ \:\mathrm{Decimal:}&\:a < -0.08333\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-\frac{1}{12}\right)\end{bmatrix}[/tex]
Subtract 13a from both sides
[tex]a-13a > 13a+1-13a[/tex]
Simplify
[tex]-12a > 1[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex]\left(-12a\right)\left(-1\right) < 1\cdot \left(-1\right)[/tex]
Simplify
[tex]12a < -1[/tex]
Divide both sides by 12
[tex]\frac{12a}{12} < \frac{-1}{12}[/tex]
Simplify
[tex]a < -\frac{1}{12}[/tex]
Hence, Now you can infer that "3y-2=10" does not belong to the group.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Learn with Lenvy~
the sum of 8 and t as a algebraic expression?
Answer:
t + 8
Step-by-step explanation:
Answer:
8 + t
Step-by-step explanation:
This is because, 8 is being added to t since it says the sum of 8 and t.
Given the function f(x)=x^2 and the transformed function g(x)=4x^2+1, explain how the parent function was transformed.
Answer:
In the function g(x) = 4x² + 1, 4 means that all the points in the parent function were multiplied by 4. + 1 means that the parent graph will shift up by 1.
Solve. p + 20 = 27 р =
Answer:
7!
Step-by-step explanation:
Subtract 20 from 27.
Answer: P= 10/13 fractons for the chart or p= 0.769230
Step-by-step explanation: <3
Choose all the fractions that are in simplest form. 6/17 5/14 9/20 3/18 1/4
We're rounding to the thousands place.
Between what two thousands is 5,779? Label the endpoints.
Answer:
5000 and 6000?
Graph the following and state the domain, range, and end behavior
y=2x-4
Answer:
3
Step-by-step explanation:
Round 47,250 to nearest ten thousand
Answer:
That would be 50,000
Step-by-step explanation:
Hope this helps :)
What is the area of the top of a table that is 8 feet by 12 feet?
Answer:
96
Step-by-step explanation:
use the formula l*w
8*12
96
what are cube roots of unity ??
[tex]\huge\bold\red{₳₦₴₩ɆⱤ:-}[/tex]
The root of unity is a number which is complex in nature and gives 1 if raised to the power of a positive integer n. These roots are used in different branches and topics of maths like number theory. It is also called as de Moivre system.
What are Cube Roots of Unity?
There are a total of three cube roots of unity which are as follows:
Cube Root of Unity Value Nature of Cube Root
1 Real
−½ + i √(3/ 2) Complex
−½ – i √(3/ 2) Complex
Here, a = 1 is the real cube root of unity while a = – ½ + i √(3/ 2) and a = – ½ – i √(3/ 2) are the imaginary or complex cube roots of unity.
ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘꜱ❤A pair of sneakers cost $82 and were on sale for 30% off. How much will you
pay?
a. $24.60
b. $106.60
C. $57.40
d. $67.40
Answer:
57.40
Step-by-step explanation:
I searched up 30% off of 82
Answer:
the answer is $57.40
Step-by-step explanation:
82x0.30=24.6
82-24.6=57.40
20 points
The letters in the word "MISSISSIPPI are each written on an index card
and placed in a paper bag. What is the probability of choosing the letter
"S" from the bag? *
4/11
7111
4/7
06/11
Submit
Answer:
4/11
Step-by-step explanation:
There are a total of 11 letters in the word Mississippi, so the denominator of the fraction will be 11. There are 4 of the letter S in Mississippi, so that will be the numerator.
The fraction is 4/11, and since 4 and 11 cannot be evenly divided it cannot be simplified.
The chances of choosing the letter S is 4/11
Solve the inequality.
4│x + 5│ - 2 ≤ 10
Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.