Answer: (2, 2 )
Step-by-step explanation:
Plug the x and y-values into the given equation. If it makes a true statement, then it is a solution.
y = x +
(0,0) → 0 = 0 + FALSE
(1, ) → = 1 + FALSE
(2, 2 ) → 2 = 2 + TRUE
Verify 1) x³+y³=(x+y)(x²-xy+y²)
2) x³-y³=(x-y)(x²+xy+y²)
using some non-zero positive integers and check by actual multiplication. can you call these as identities?
x³ + y³ = (x + y)(x² - xy + y²)
x³ - y³ = (x - y)(x² + xy + y²).
Proof for 1st Identity :
★ x³ + y³ = x (x² - xy + y²) + y(x² - xy + y²)
⟶ x³ + y³ = x³ - x²y + xy² + x²y - xy² + y³
⟶ x³ + y³ = x³ + y³
Proof for 2nd identity :
★ x³ - y³ = x(x² + xy + y²) - y(x² + xy + y²)
⟶ x³ - y³ = x³ + x²y + xy² - x²y - xy² - y³
⟶ x³ - y³ = x³ - y³
For example,Let us assume that,
x = 1
y = 2
So,
✯ x³ + y³ = 1³ + 2³
⟹ (x + y)(x² - xy + y²) = 1 + 8
⟹ (1 + 2)(1² - (1)(2) + 2²) = 9
⟹ 3 * (1 - 2 + 4) = 9
⟹ 3 * 3 = 9
⟹ 9 = 9
✯ x³ - y³ = 1³ - 2³
⟹ (1 - 2) * (1² + (1)(2) + 2²) = 1 - 8
⟹ ( - 1) * (1 + 2 + 4) = - 7
⟹ ( - 1) * (7) = - 7
⟹ - 7 = - 7
Thus , they can be called as identities/formulae as they are very useful in finding the value of a certain equation or an expression easily.
I hope it will help you.
Regards.
ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?
Answer:
6000 pieces of candy will be made in a 4 hour shift
Step-by-step explanation:
the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.
Can someone please help me
Answer:
x, 4 y, 3, z2
Step-by-step explanation:
HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair of congruent angles isn't enough information to prove that a quadrilateral is a parallelogram.
Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.
Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.
What is quadrilateral?A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.
Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.
The shape of the required quadrilateral is attached with the answer below.
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The Baltic Sea is almost completely surrounded by countries in Europe. The average depth of the Baltic Sea is 52 meters below the surface. The deepest point in the Baltic Sea is 407 meters lower than this. What is the deepest point in the Baltic Sea relative to the surface?
Answer:
The deepest point in the Baltic Sea relative to the surface is 459 meters.
Step-by-step explanation:
The average depth of the Baltic Sea is:
[tex] d_{1} = 52 m [/tex]
The deepest point in the Baltic Sea is (lower than this):
[tex] d_{2} = 407 m [/tex]
Hence, the deepest point in the Baltic Sea relative to the surface is given by:
[tex] d_{T} = d_{1} + d_{2} = 52 m + 407 m = 459 m [/tex]
Therefore, the deepest point in the Baltic Sea relative to the surface is 459 meters.
I hope it helps you!
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?
Answer:
Step-by-step explanation:
time taken to reach the max height is expressed according to the projectile equation;
tmax = u/g
Given u = 30m/s
g is the acceleration due to gravity = 9.81
t = 30/9.81
t = 3.0secs
hence it will take the flare 3.06secs to reach its maximum height.
Max height = u²/2g
Max height = 30²/2(9.81)
Max height = 900/19.62
Max height = 45.87m
If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation:
A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles
Answer:
12:8 or 12 to 8 or u could do it in fraction form
Step-by-step explanation:
Answer:
12:8 or 12 to 8
Explanation:
The ratio of blue marbles to red marbles is 12 to 8
Explain Null Factor Law
Answer:
If the product of any two numbers is zero,then one or both of the numbers is zero.That is,if ab=0, then a=0 or b=0 (which includes the possibility that a=b=0).
6(x-2=4(x+3) what does x equal
Hey mate here is your answer.
➛ 6(x-2) = 4(x+3)
➛ 6x-12 = 4x + 12
➛ 6x - 4x = 12 + 12
➛ 2x = 24
➛ x = [tex] \frac{24}{2} [/tex]
⛬ x = 12
Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.
Answer:
1147 days
Step-by-step explanation:
3x365= 1095
7x7=49
1095+49+3=1147
As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.
Answer:
44 km converte to miles is 27.3403.
Answer:
27,5 miles
Step-by-step explanation:
sooo, you need to see how many Miles Is 1km..
5:8= 0,625
So when we know 0,625 mile = 1km then
44x0,625 = 27,5
And the result is 27,5 miles
Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)
Answer:
1,5 is your answer
Y=5 and X=1
Insert it in the equation
5=3(1)+2
5=3+2
5=5
Hence proved!
7x - 3x + 2 = 8x - 6
Answer:
x=2
Step-by-step explanation:
m.c.m (3, 16, 2) ?? please help
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
M.C.M=
[tex] \bf \textcolor{red}{ \huge{48}}[/tex]
3-16-2|2
3-8-1 |2
3-4-1 |2
3-2-1 |2
3-1-1 |3
1-1-1
2⁴•3
M.C.M=
2•2=4
2•2=4
4•4=16
16•3=48
[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]
xLasersx✨HELP PLS
BRAINLIEST IF CORRECT
Answer:
I think it would be 1 and 3
Step-by-step explanation:
The correct answer is the first, second, and third.
1st Option-
This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.
2nd Option -
All numbers on all sides could be rational, as we don't know what kind of number line this is.
3rd Option-
This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.
4th Option -
This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.
How do you know if an equation has one solution, no solutions, or infinitely many solutions?
Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.
Here are the general guidelines:
1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.
2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.
3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.
Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.
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What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Estimate the square root of 19 to the nearest tenths place
When three points lie on the same line
what is the slope of this line?
Answer:
slope is 1/4
Step-by-step explanation:
Use rise over run
The slope of the line will be equal to 1/4.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.
The formula to calculate the slope of the line is given as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (8 - 6 ) / ( 8 - 0)
Slope = 2 / 8
Slope = 1 / 4
Therefore, the slope of the line will be equal to 1/4.
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Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?
As x approaches -7 from the left, y approaches ∞.
As x approaches -7 from the right, y approaches -∞.
As x approaches 7 from the left, y approaches –∞.
As x approaches 7 from the right, y approaches –∞.
Answer:
its D
Step-by-step explanation:
if you look at the graph I shared, the end behaviors are
As x approaches -7 from the left, y approaches -∞.
As x approaches -7 from the right, y approaches ∞.
As x approaches 7 from the left, y approaches ∞.
As x approaches 7 from the right, y approaches –∞.
The only one that maches this description is D
Answer:d
Step-by-step explanation:
just d
write 4.9 × 10^5 in standard form
Answer:
30.7
Step-by-step explanation:
HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.
A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20
Answer:
C
Step-by-step explanation:
(45+(15))/3=20
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
Find ABC, Please help!
Answer:
50°
Step-by-step explanation:
Angle A = AngleB (Corresponding angles)
x=2x-50
x=50°
Hope it helps
Answer:
∠ ABC = 50°
Step-by-step explanation:
2x - 50 and x are corresponding angles and congruent, thus
2x - 50 = x ( subtract x from both sides )
x - 50 = 0 ( add 50 to both sides )
x = 50
Thus
∠ ABC = x = 50°
#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x
Answers
O Linear
O Exponential
Answer:
Exponential
Step-by-step explanation:
For this question you need to understand what is a linear function and what is an exponential function.
Linear function is a function where any variable x,y,z has the power of maximum 1 for example
x+y=1
7x+2y=10
1000x+9999y=40000
The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1
Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].
So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.
- 2/3 × 3/5 + 5/2 - 3/5 × 1/6
Answer:
2
Step-by-step explanation:
(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)
-2/3 x 3/5 = -6/15 = -2/5 (simplified)
3/5 x 1/6 = 3/30 = 1/10 (simplified)
Changed equation: -2/5 + 5/2 - 1/10
-2/5 x 2 = -4/10
5/2 x 5 = 25/10
Changed equation: -4/10 + 25/10 - 1/10
Answer: 20/10 = 2 (simplified answer)
PLEASE HELP! WILL MARK BRAINLIEST
Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!
Write , or = to make the statement true. 9.008 ___ 9.08
Answer:
9.008 < 9.08
Step-by-step explanation:
9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough