Answer:
Step-by-step explanation:
Expanding the right-hand side,
[tex](a-b)(a^{2}+ab+b^{2})=a^{3}+a^{2}b+ab^{2}-a^{2}b-ab^{2}-b^{3}=a^{3}-b^{3}[/tex]
Thus, the identity is true.
The slope of the line below is 2. Use the coordinates of the labeled point to
find a point-slope equation of the line.
• (3,10)
) A. y+ 10 = 2(x+ 3)
B. y - 10 = -2(x- 3)
D C. y + 10 = -2(x+3)
D. y - 10 = 2(x - 3)
Answer:
y - 10 = 2(x - 3)
Explanation:
Equation:
y - y₁ = m(x - x₁)
Here given:
coordinates: (x, y) = (3, 10)
x₁ = 3y₁ = 10slope (m) = 2Inserting value's:
y - 10 = 2(x - 3) in point slope form
y = 2x - 6 + 10
y = 2x + 4 in slope-intercept form
Answer:
d) y - 10 = 2(x - 3)
Step-by-step explanation:
Given: a line with a slope of 2, and the point (3, 10)
⇒ Point-Slope Form: y - y₁ = m(x - x₁)
where: m is the slope, and (x₁, y₁) is a given point
Substitute the values into the form:
⇒ y - y₁ = m(x - x₁)
⇒ y - 10 = 2(x - 3)
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Mara found the length of time of an investment. The principal of the investment was $4,300, the interest rate was 6.2 percent, and the interest was $2,666. Mara made an error in her work.
I = p r t. 2666 = (4300) (0.062) t. 2666 = (266.6) t. StartFraction 266.6 over 2666 EndFraction = t. 0.1 = t.
What was Mara’s error?
Mara did not substitute the values from the problem into the formula correctly.
Mara did not multiply correctly.
Mara did not divide correctly.
Mara divided when she should have multiplied.
The error that Maria made is that she did not divide correctly.
What error did Maria make?The simple interest that is paid on an amount of money is a function of the amount deposited, time and interest rate.
Simple interest = principal x time x interest rate
2666 = 4300 x 0.062 x t
2666 = 266.60t
t = 2666 / 266.60
t = 10 years
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Solve the equation for x.
√x-5 = x-11
Answer:
√x-5 = x-11 = 9.
Step-by-step explanation:
Isolate the radical, then raise each side of the equation to the power of its index.
x = 9 Solve the equation for x.11. Find the amount of interest on $600, if a bank is paying 5.5% interest.
[A] $30 [B] $3.30
[C] $330
[D] $33
[E] $23
If two angles have the same angle measure, then they are said to be____.
A. Complementary
B.adjacent
C.congruent
Answer:
C
Step-by-step explanation:
2 equal angles are said to be congruent
i need quick help on this, please
The coordinates of a point located on the grid is (64.65, 12.4).
We need to find the coordinates of the point given on the grid.
What are coordinates?In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
Now, from the given grid we can see that the point is located at (64.65, 12.4)
Therefore, the coordinates of a point located on the grid is (64.65, 12.4).
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explain this please thanks.
Answer:
Step-by-step explanation:
Two possible patters of sitting:
⇒ [tex]I) M W M W M W[/tex]
⇒ [tex]II) W M W M W M[/tex]
⇒ Three ways can be used to seat each set of three people, for a total of six.
⇒ There are two groups
2 × 3 = 6 (ways in six groups.)
*The two options can be distributed in two groups.
⇒ Total methods are equal to 6 * 6 * 2 = 72 ways.
find the equation of the arithmetic sequence in which t(5)=40 and t(10)=70.
The equation of the arithmetic sequence in which t(5)=40 and t(10)=70 is tₙ = 10 + 6n
How to find the equation of an arithmetic sequence?The equation of an arithmetic sequence can be represented as follows;
tₙ = a + (n -1)d
where
a = first termd = common differencen = number of termsHence,
70 = a + 9d
40 = a + 4d
30 = 5d
d = 30 / 5
d = 6
Therefore,
40 = a + 4(6)
40 - 24 = a
a = 16
Hence, the equation is as follows:
tₙ = 16 + (n - 1)6
tₙ = 16 + 6n - 6
tₙ = 16 - 6 + 6n
tₙ = 10 + 6n
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Write the algebraic expression for the following statement.
The sum of a number and 3 is 14.
Answer:
the algebraic expression is; x+3=14
What is the transformation of C(9, 3) when dilated with a scale factor of 1/3,
using the point (3, 6) as the center of dilation
The transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).
What is Dilation transformation?A dilation transformation is a transformation that changes the size of the original figure but the shape remains unchanged.
If any figure is dilated by a scale factor k with the center of dilation as the origin.
Then the change of transformation in each of the vertices of the figure is given:
(x,y) → (kx, ky)
It is given a point C which is located at C(9,3).
Hence, here k=3
We get:
C(9,3) → C'(9×3,3×3)
C(9,3) → C'(27,9) = C'(3,1)
Hence, the transformation of C(9, 3) when dilated with a scale factor of 1/3, using the point (3, 6) as the center of dilation would be an option B: C'(3,1).
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Answer:
(5,5)
Step-by-step explanation:
count from the center
Write a system of equations that could be used to solve the situation described below.
You find 12 coins under the couch. Every coin is either a nickel or a penny, and they add up to a total of 32 cents. How many of each type of coin do you have? Let x represent the number of pennies and y represent the number of nickels.
Please select the best answer from the choices provided
A. x+y=12
0.05x+0.01y=0.32
B. x+y=0.32
0.01x+0.05y=12
C. x+y=12
0.01x+0.05y=0.32
D. not enough information
If there are 12 coins under the couch and every coin is either a nickel or a penny and together they are forming 32 cents then the equations which represent the problem will be x+y=12, 0.01x+0.05y=0.32. The correct option is B which is x+y=12, 0.01x+0.05y=0.32.
Given There are 12 coins and total money is 32 cents.
Let the number of pennies be x and the number of nickels be y.
According to question there are 12 coins so the first equation becomes:
x+y=12.
Then we have been told that together they amount to 32 cents.
We know that 1 penny is 1 cent coin and 1 nickel is 5 cent coin so the equation becomes :
1*x+5*x=32
x+5y=32
converting into dollar
0.01x+0.05y=0.32.
Hence the right equations showing the problem of nickel and pennies are x+y=12, 0.01x+0.05y=0.32.
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Probability of Next Candy
Fill in the chart below with the probability of choosing the next candy.
Answer:
8 is correct.
Mark as brainlist, thanks me, and rate. Hope it helps you!!!
Perpendicular segments are best described as being which of the following?
A. Segments that intersect
B. Segments that are coplanar
C. Segments that will never intersect
D. Segments that intersect at a right angle
Answer:
D
Step-by-step explanation:
Perpendicular lines intersect at a 90° angle.
Answer:
D. Segments that intersect at a right angle
Step-by-step explanation:
A 10 ft slide will be installed on a playground. The top of the slide will be 8 ft above the ground.
What angle does the slide make with the ground?
Enter your answer in the box. Round your final answer to the nearest degree.
Answer
12
Step-by-step explanation:
Quick please!!! Buford, the farm hand, is preparing feed for
the animals. He wants to mix the contents of a
bag containing 50% corn with one containing
90% corn to optain a 30-pound bag containing
80% corn. How many pounds of the 50% bag
should he use? (write your answer as a
decimal.)
Buford should use 7.5 pounds of the 50% corn bag.
How do we solve a system of linear equations from word problems?A system of linear equation is an equation containing two different equations with variables and the coefficient.
From the given information, let:
The weight of the bag containing 50% corn be = xThe weight of the bag containing 90% corn be = ySp, we can a system of a linear equation that says:
x + y = 30
0.5x + 0.9y = 0.8(30)
Using elimination method
x + y = 30
-
x - 1.8y = -48
0 - 0.8y = -18
y = 18/0.8
y = 22.5
From x + y = 30
x = 30 - 22.5
x = 7.5
Therefore, we can conclude that he should use 7.5 pounds of the 50% corn bag.
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2.865; cut it to the ten thousandths
Answer:
2.865.
Step-by-step explanation:
first get to know the place value of each digit is you move on you will realise that there's no digit for tens of thousands that means that you can add a zero which which will be counted as tens of thousands and since it's not past 5 it can't change the other number. I mean it can't add 1 to 5 so the number remains 2.865 good day.
X^2 + y^2 = 81 write down the equations of the two horizontal lines that are tangent to c
Answer:
Step-by-step explanation:
x² + y² = 81
x + y = √81
x + y = 9
x ≥ 9
y ≤ 9
Identify the equation with an x-intercept of 3 and a y-intercept of -2.
The equation of line is 2x - 3y = 6.
What is intercept?The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
The x-intercept is 3 and the y-intercept is -2.
So, the line passes through the points (3, 0) and (0, -2)
Now, slope of line is
m= -2-0/ 0-3 = 2/3
Equation of line is
y = 2/3 x - 2
y = 2x-6 /3
3y= 2x -6
2x - 3y = 6
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Which of the following statements are true?
I. Each white blood cell contains millions of hemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
The correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
The complete question is given below:-
Which of the following statements are true?
I. Each white blood cell contains millions of haemoglobin molecules.
II. In a sample of blood, there are more red blood cells than white blood cells.
III. HIV destroys red blood cells.
IV. All blood cells come from one pool of stem cells.
A. II and IV only
B. I and IV only
C. II and III only
D. I, III, and IV only
E. I, II, and IV only
What are blood cells?The most prevalent form of blood cell and the main source of oxygen for the bodily tissues of vertebrates, red blood cells are also known as red cells, red blood corpuscles, haematids, erythroid cells, or erythrocytes. They circulate through the blood through the circulatory system.
Therefore the correct answer is option B that is Each white blood cell contains millions of haemoglobin molecules. All blood cells come from one pool of stem cells.
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Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by
Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by Economic needs.
What do we mean by economic needs?
By economic need Elaine is trying to get a company that would pay her more. Hence the need to go for the Unionized company.
This is given that the Unionized company is said to earn more than the other company. Hence her motivation is due to her economic needs.
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What are the measures of Angles a, b, and c? Show your work and explain your answers.
70°
BD is the bisector of angle ABC Determine the measure of angle ABD
Answer:
45 degrees
Step-by-step explanation:
A bisector divides an angle into two equal parts. Since we are dividing a 90 degree angle by 2, we get a resulting value of 45 degrees.
Which expression is the simplest form of - (4x³ + x²) + 2 (x³ - 3x²)?
OA.-223-5x²
B. -6x³6x²
OC.-6x³2x²
OD. -2x³-7x²
SUBMIT
Answer:
-2x³ - 7x².
Step-by-step explanation:
- (4x³ + x²) + 2(x³ - 3x²)
= - 4x³ - x² + 2x³ - 6x² Simplifying like terms:
= -2x³ - 7x².
Choose the congruence theorem that you would use to prove the triangles congruent.
AAS
SAS
ASA
SSS
Answer:
C) ASA
Step-by-step explanation:
From the diagram we can see:
The triangles have two congruent angles and one congruent side which is between those two angles.
It means the triangles are congruent by angle-side-angle or in short ASA theorem.
Correct answer choice is C
Simplify 10√3x +4√3x +5√3x
Add the like terms :
10√3x + 4√3x + 5√3x(10 + 4 + 5)√3x19√3xWhat type of relationship is expressed below?
5x = 2x 9
O equation
O function
O inequality
The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level. Its summit is 4,205 meters above sea level. What is the total height of Mauna Kea? The base of the Hawaiian mountain Mauna Kea is about 5,853 meters below sea level . Its summit is 4,205 meters above sea level . What is the total height of Mauna Kea ?
Answer:
100,58 meters
Step-by-step explanation:
You add 5,853 plus 4,205 to get 100,58 Meters. You add the number below and above sea water tog et the total height of the mountain.
Answer:
Mouna Kea is 10,058 meters high
Step-by-step explanation:
in order to calculate the whole height of the Mouna Kea you will need to add the base to the summit.
5,853 +4,205 = 10,058
What is the factored form of the following expressions?
x2 – x – 42
Answer:
(x-7)(x+6)
Step-by-step explanation:
Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.
45 mi/h = ___ ft/s
The 45 mi/h is equal to the 2640 ft/min.
To convert 30 miles per hour to feet per minute, we use dimensional analysis in the process.
We have given that, rate using dimensional analysis.
What is the 1 hour?
1 hour = 60 minutes.
1 mile is equal to 5280 feet and 1 hour is equal to 60 minutes.
Hence the formula of conversion is 30 miles / hour *(5280 ft/ mile) * (1 hour / 60 min).
The answer is 2640 ft/min.
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Simplify
[tex](2x - 3) - (x - 4)[/tex]
Factorize
[tex]16 - 4 {x}^{2} [/tex]
Answer + Explanation:
#1 Simplification:
(2x - 3) - (x - 4)
2x - 3 - x + 4
2x - x - 3 + 4
x + 1
#2 Factorization:
16 - 4x²
-4x² + 16
-4(x² - 4)
-4(x² - 2²)
-4(x + 2)(x - 2)
