Which of the following values are solutions to the inequality - 10 > 3x - 6?
I. - 10
II. 5
III.-1
Answers
Related Questions
what is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x +3.8?
A. y=1.2x-6
B. y=-1.2x+6
C. y=1.2x+5
D. y= -1.2x-5
Answers
Given:
Equation of line is
\(y=1.2x+3.8\)
To find:
The equation of line that passes through the point (5, 0) and parallel to the given line.
Solution:
Slope intercept form of a line is
\(y=mx+b\)
where, m is slope and b is y-intercept.
On comparing the given equation \(y=1.2x+3.8\) with the slope intercept form, we get
\(m=1.2\)
So, slope of given line is 1.2.
Slope of parallel lines are same. So, slope of required line is 1.2.
The required line passes through (5,0) having slope 1.2. So, the equation of line is
\(y-y_1=m(x-x_1)\)
where, m is slope of the line.
\(y-0=1.2(x-5)\)
\(y=1.2x-1.2(5)\)
\(y=1.2x-6\)
Therefore, the correct option is A.
The median of a quanitive data set is always one of the infiviual data values. True or false
Answers
The given statement "The median of a quantitative data set is always one of the individual data values" is false.
What is a median?When a given data set is arranged in ascending order the observation which at the between of the data is the median of that data set. It is a value in the set whose left and right both have the same number of observations.
The given statement is not true, this is because the median is the mid-value of any data set.
If the number of data observations is odd then the median of a quantitative data set is always one of the individual data values.But if the number of data observations is even then the median is the average of the two numbers present in between the data observations.Hence, the given statement "The median of a quantitative data set is always one of the individual data values" is false.
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solve : 105/103 = _____
Answers
Answer:
1.02
Step-by-step explanation:
The circumstances of a circular painting is 9.42 feet what is the diameter of the painting use pi
Answers
3.14x 4.71x4.71= 69.65
Solve the system using the Substitution Method.
3x+5y=-1
x+2y=-1
Group of answer choices
Answers
Answer:
(-7, 4)
Step-by-step explanation:
I checked on photomath
Last year, 46% of business owners gave a holiday gift to their employees. A survey of business owners indicated that 45% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. (a) How many business owners in the survey plan to provide a holiday gift to their employees? (b) Suppose the business owners in the sample do as they plan. Compute the p value for a hypothesis test that can be used to determine if the proportion of business owners providing holiday gifts has decreased from last year. If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations. (c) Using a 0.05 level of significance, would you conclude that the proportion of business owners providing gifts has decreased? We the null hypothesis. We conclude that the proportion of business owners providing gifts has decreased from 2008 to 2009. What is the smallest level of significance for which you could draw such a conclusion? If required, round your answer to four decimal places. If your answer is zero, enter "0". Do not round your intermediate calculations. The smallest level of significance for which we could draw this conclusion is ; because p-value α=0.05, we the null hypothesis.
Answers
a) 27 business owners plan to provide a holiday gift to their employees.
b) Using a z-table, the p-value for z = -0.1583 is 0.4371 (rounded to four decimal places).
c) The smallest level of significance for which we could draw this conclusion would be equal to the calculated p-value, which is 0.4371 (rounded to four decimal places).
(a) In the survey of 60 business owners, 45% plan to provide a holiday gift to their employees. To find the number of business owners planning to give gifts, multiply the total number of business owners (60) by the percentage (0.45): 60 x 0.45 = 27 business owners plan to provide a holiday gift to their employees.
(b) To compute the p-value for a hypothesis test to determine if the proportion of business owners providing holiday gifts has decreased from last year, first, find the test statistic:
z = (p_sample - p_population) / sqrt((p_population * (1 - p_population)) / n)
z = (0.45 - 0.46) / sqrt((0.46 * (1 - 0.46)) / 60)
z = -0.01 / 0.0632 = -0.1583
Using a z-table, the p-value for z = -0.1583 is 0.4371 (rounded to four decimal places).
(c) Since the p-value (0.4371) is greater than the level of significance α=0.05, we fail to reject the null hypothesis. Thus, we cannot conclude that the proportion of business owners providing gifts has decreased based on the given level of significance.
The smallest level of significance for which we could draw this conclusion would be equal to the calculated p-value, which is 0.4371 (rounded to four decimal places).
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Solve the simultaneous equations
7x + 2y = 22
3x + 4y = 11
Answers
I used Elimination method
x =3
y = 1/10
Hope it helps
Val is going to plant y vegetable seeds in one garden and 4y +9 vegetable seeds in another. How many seeds is Val going to plant?
Answers
Given:
Val is going to plant y vegetable seeds in one garden and 4y +9 vegetable seeds in another.
So, the total seeds =
\(y+(4y+9)=y+4y+9=5y+9\)goog8.24 instant versus fresh-brewed coffee. a matched pairs experiment compares the taste of instant with fresh-brewed coffee. each subject tastes two unmarked cups of coffee, one of each type, in random order, and states which they prefer. of the 50 subjects who participate in the study, 32 preferred the fresh- brewed coffee. a. test the claim that a majority of people preferred the taste of fresh-brewed coffee. report the large-sample z statistic and its p-value. b. draw a sketch of a standard normal curve and mark the location of your z statistic. shade the appropriate area that corresponds to the p-value. c. is your result significant at the 5% level? what is your practical conclusion?
Answers
The large-sample z statistic is 1.923. Based on this result, we reject the null hypothesis and conclude that there is evidence to suggest that a majority of people prefer the taste of fresh-brewed coffee over instant coffee.
To test the claim that a majority of people prefer fresh-brewed coffee, we need to set up the null and alternative hypotheses:
Null hypothesis: p ≤ 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is less than or equal to 0.5)
Alternative hypothesis: p > 0.5 (i.e., the proportion of people who prefer fresh-brewed coffee is greater than 0.5)
We will use a one-tailed test with a significance level of α = 0.05.
To calculate the large-sample z statistic, we first need to calculate the sample proportion of people who prefer fresh-brewed coffee
P = (60 - 21) / 60 = 0.65
where 60 is the total number of subjects and 21 is the number who prefer instant coffee.
Next, we need to calculate the standard error of the sample proportion:
SE = sqrt(P(1-P)/n) = sqrt(0.65(1-0.65)/60) = 0.078
where n is the sample size.
Finally, we can calculate the z statistic:
z = (P - p) / SE = (0.65 - 0.5) / 0.078 = 1.923
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The given question is incomplete, the complete question is:
A matched pairs experiment compares the taste of instant with fresh-brewed coffee. Each subject tastes two unmarked cups of coffee, one of each type, in random order and states which he or she prefers. Of the 60 subjects who participate in the study, 21 prefer the instant coffee. Let p be the probability that a randomly chosen subject prefers fresh-brewed coffee to instant coffee. (In practical terms, p is the proportion of the population who prefer fresh-brewed coffee.)
Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Report the large-sample z statistic
What is the factor of x³ 3x² 9x 5?
Answers
(x+1) & (x-5) are the factors of given equation.
The given Equation is,
x3- \(3x^{3}\) - 9
Substitute - Substitute means to put something in the place of another and in mathematics substitution means putting numbers in the place of letters. It is used to calculate the value of an expression.Here, If we substitute x =5, in the given equation, then we find
(5)3 - 3(5)3 - 9*5 -5 = 0
x-5 is factor of given equation to find another factor dividing given equation by x-5
we will get =(x2+2x+1) after dividing the equation by x - 5
Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)
=(x+2)2 (x-5)
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Let Z be a standard normal random variable and recall the calculations necessary to construct a box plot. (Drag- and-drop your answers to the appropriate boxes for parts (a) to (e) on the given boxplot image.) a) Find the first Q, and third quartiles Q3 for a standard normal distribution. b) Find the inner fences (I F; and. IF.) for a standard normal distribution. c) Find the probability that Z is beyond the inner fences. d) Find the outer fences (OF, and OFx) for a standard normal distribution. e) Find the probability that Z is beyond the outer fences. 0 ооо O o I 4 - 0 NE 3 4 O 0 0 a) = -0.6745 a) Q3 = 0.6745 b) IFL = -2.698 2.698 b) IFH = c) P(Z is beyond inner fences) = 0.0035 d) OF_ = -4.7215 d) OF = 4.7215 e) P(Z is beyond outer fences)
Answers
The final answer is: a) Q1 = -0.6745, Q3 = 0.6745 b) IFL = -2.698, IFH = 2.698 c) P(Z is beyond inner fences) = 0.0035 d) OFL = -4.7215, OFH = 4.7215 e) P(Z is beyond outer fences) = 0.0003
Given: Z is a standard normal random variable Formula used:
First Quartile (Q1) = -0.6745,
Third Quartile (Q3) = 0.6745,
Interquartile range (IQR) = 1.349,
Inner fences (IFL and IFH) = Q1 - 1.5 * IQR and Q3 + 1.5 * IQR,
Outer fences (OFL and OFH) = Q1 - 3 * IQR and Q3 + 3 * IQR
Box plot:
a) First Quartile (Q1) = -0.6745, Third Quartile (Q3) = 0.6745
Therefore,Q1 = -0.6745 and Q3 = 0.6745
b) Inner fences (IFL and IFH) = Q1 - 1.5 * IQR and Q3 + 1.5 * IQR
Interquartile range (IQR) = Q3 - Q1 = 0.6745 - (-0.6745) = 1.349
Therefore,
IFL = Q1 - 1.5 * IQR= -0.6745 - 1.5 * 1.349= -2.698
and
IFH = Q3 + 1.5 * IQR= 0.6745 + 1.5 * 1.349= 2.698c)
Probability that Z is beyond the inner fences:
The probability of Z is less than IFL is equal to the probability of Z is greater than IFH and that probability is 0.0035
Therefore, P(Z is beyond inner fences) = 0.0035d) Outer fences (OFL and OFH) = Q1 - 3 * IQR and Q3 + 3 * IQR
Therefore,
OFL = Q1 - 3 * IQR= -0.6745 - 3 * 1.349= -4.7215
and
OFH = Q3 + 3 * IQR= 0.6745 + 3 * 1.349= 4.7215e)
Probability that Z is beyond the outer fences:
Since the normal distribution is symmetric, the probability of Z is less than OFL is equal to the probability of Z is greater than OFH. Therefore, the required probability is 0.0003 (by looking at the z-score table).Therefore, P(Z is beyond outer fences) = 0.0003
Hence, the final answer is: a) Q1 = -0.6745, Q3 = 0.6745 b) IFL = -2.698, IFH = 2.698 c) P(Z is beyond inner fences) = 0.0035 d) OFL = -4.7215, OFH = 4.7215 e) P(Z is beyond outer fences) = 0.0003
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A ladder rests against a building. The ladder is 14 ft long and forms an angle of 76.5° with the ground. Which statement is not true?
(A) The bottom of the ladder is 13.6t from the base of the building.
(B) The bottom of the ladder is 13.3ft from the base of the building.
(C) The top of the ladder touches the building 13.6 ft from the ground.
(D) The ladder forms an angle of 13.5° with the building.
Answers
The statement that is not true is (A) The bottom of the ladder is 13.6 ft from the base of the building.
Let's consider the situation described. We have a ladder resting against a building, forming an angle of 76.5° with the ground. The length of the ladder is given as 14 ft.
To find the horizontal distance between the base of the ladder and the building, we can use trigonometry. We can use the cosine function, which relates the adjacent side of a right triangle to the hypotenuse:
cos(θ) = adjacent/hypotenuse
In this case, the adjacent side represents the horizontal distance between the base of the ladder and the building, and the hypotenuse represents the length of the ladder.
Using the given values, we can plug them into the formula:
cos(76.5°) = adjacent/14 ft
Solving for the adjacent side, we have:
adjacent = 14 ft * cos(76.5°) ≈ 14 ft * 0.2486 ≈ 3.4804 ft ≈ 3.5 ft (rounded to one decimal place)
Therefore, the correct statement is that the bottom of the ladder is 13.3 ft (approximately) from the base of the building.
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Help plzzzzz I’ll make you brainlest!!!!!!!!!!!!!!!:))))
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Answer: A) \(x < -4 \ \text{ or } \ x \ge 3\)
============================================================
Explanation:
The left portion of the graph is \(x < -4\) to indicate values smaller than -4. We exclude the endpoint -4 due to the open hole. So we don't have "or equal to" as part of the inequality sign.
In contrast, we do include the endpoint 3 since there's a filled in endpoint here. The right side of the shaded graph shows values that are 3 or larger. So that's why we have \(x \ge 3\) which says "x is greater than or equal to 3".
Put those two pieces together and we end up with \(x < -4 \ \text{ or } \ x \ge 3\)
You must use "or" instead of "and" because they mean different things. Saying \(x < -4 \ \text{ and } \ x \ge 3\) is not correct because there are no numbers that are both less than -4 and greater than or equal to 3 at the same time. Visually there are no numbers that are to the left of -3 and also to the right of 3 at the same time.
** IF YOU CAN DO EVERY QUESTION ILL GIVE YOU 150 POINTS !!*** CHECK IMAGE !!!! <33
Answers
Answer:
See below. Please give 5 stars!
Step-by-step explanation:
1.
1 ft = 12 in (fact)
2.
3/4 ft is (3/4) of 12 in. Which is 9 in.
3.
2 (2/3) ft. Convert to an improper fraction. (3*2) + 2 = 8. So 8/3 ft.
8/3 ft * (12 in / 1 ft) = 32 in. The ft cancels with ft. Leaves inches.
4.
Start with 6*6 = 36 (this is under 40)
add 6. 42 (6*7)
add 6. 48 (6*8)
add 6. 54 (6*9)
add 6. 60 (6*10) Stop. Add 6 puts you over 60 (60+6=66)
5.
5:52 pm + 5hr + 42 min
10:52 pm + 42 min
11:00 pm + (42-8) = 11:00 pm + 34 min
11:34 pm
6.
Monday is day 1. Add 7 + 3 = Monday + 3 days = Thursday
7.
Round for estimate for 7, 8, 9.
7028 is about 7000.
2740 is about 3000.
7000 - 3000 = 4000 get rid of 000 for an answer of 4.
8.
6556 is about 7000.
3751 is about 4000.
7000 + 4000 = 13000 get rid of 000 for an answer of 13.
9.
57 is about 60.
38 is about 40.
72 is about 70.
60 + 40 + 70 = 170 get rid of 0 for an answer of 17.
10.
Thought
Number of meals?
Information
Puppies 2 times and grown dogs one time a day.
Plan
Puppies = 2 times the number of puppies. Grown = 1 times the number of full-grown dogs.
Solution
2(38) + 1(24) = 76 + 24 = 100 meals
What are the 4 properties of a rhombus?
Answers
- Opposite angles are equal in a rhombus.
- The diagonals bisect each other at 90 degrees.
- Adjacent angles add up to 180 degrees.
The 4 properties of the rhombus are:
All sides of the rhombus are equalThe opposite sides of a rhombus are parallelOpposite angles of a rhombus are equaldiagonals bisect each other at right angles.What is a rhombus?A quadrilateral in Euclidean geometry is a rhombus. It's a parallelogram with all sides equal and diagonals intersecting at 90 degrees. In addition, opposing sides are parallel, and opposing angles are equal. This is a fundamental property of the rhombus. A rhombus is shaped like a diamond. As a result, it's also known as a diamond.
Some of the important properties of the rhombus are as follows:The rhombus's sides are all equal. A rhombus' opposite sides are parallel. A rhombus' opposite angles are equal. Diagonals in a rhombus bisect each other at right angles. Diagonals cut the angles of a rhombus in half. 180 degrees is the sum of two adjacent angles. When you connect the midpoints of the sides, you will get a rectangle. When you join the midpoints of half the diagonal sides as the axis of rotation, you will get another rhombus.To know more about Rhombus visit the link
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What is the total cost of 394 hat that cost $7.49 each?
Answers
Step 1
Total number of hats = 394
Cost per hat = $7.49
Step 2:
You will multiply to find the total cost of 394 hats.
\(\begin{gathered} \text{Total cost of 394 hats = 394 }\times\text{ \$7.49} \\ \text{= \$2951.06} \end{gathered}\)Final answer
Total cost of 394 hats = $2951.06
subtraction (must show work) 1. d - 27 = 45 2. h - 114 = 28
3. - 4 + x = 15 4. 4. -39 + g = 72
Answers
Answer:
Step-by-step explanation:
1.
d - 27 = 45
add 27
d = 72
2.
h - 114 = 28
add 114
h = 142
3.
-4 + x = 15
add 4
x = 19
4.
-39 + g = 72
add 39
g = 111
the world population in 1997 was 5.88billion. the world population in 2017was 7.53billion. assume that the ratio between the population in two consecutive years was constant between 1997 and 2017. which equation can be used to find r,the rate of growth per year of the world population?
Answers
The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).
If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:
Population in 2017 = Population in 1997 × (1 + r)²⁰
where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.
We can rewrite this equation to solve for r:
(7.53 ) = (5.88 ) × (1 + r)²⁰
Divide both sides by (5.88 ):
(7.53 ) / (5.88 ) = (1 + r)²⁰
Take the 20th root of both sides:
\((7.53 / 5.88 )^{(1/20)} = 1 + r\)
Subtract 1 from both sides:
\(r = (7.53 / 5.88 )^{(1/20)} - 1\)
Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).
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Multiply.
7(−14)= Evaluate the expression.
(−4)2=
Answers
Answer:
7(-14)= -98
(-4)2= -8
Step-by-step explanation:
If you multiply this should be you answer.
Help me please mathh
Answers
Answer:
1 and 2 are adjacent
1 and 3 are vertical
3 and 4 are adjacent
2 and 4 are vertical.
Step-by-step explanation:
1 and 2 are adjacent because they are next to each other, not across.
1 and 3 are vertical because they are equivalent angles and across from each other.
3 and 4 are adjacent because they are next to each other, not across.
2 and 4 are vertical because they are equivalent angles and across from each other.
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Answer: Adjacent, Vertical, Adjacent, Vertical
Step-by-step explanation:
Adjacent angles are angles that are on the same side of a line but do not overlap. Usually the angles make a 180 degree angle when added together. In this case, some adjacent angles re 1 and 2, 2 and 3.
Vertical angles are the angles that are the oppsite of the opposing angle. In this case, 1 and 3, 2 and 4.
i need help possibly with work to pls
Answers
Answer:
i pretty sure its 60 degrees
Step-by-step explanation:
correct me if im wrong but all of those should add up to 180
Answer:
The answer is 65 degrees I hope this helps sorry if it doesn't
Step-by-step explanation:
I did 180 which is a half circle minus 115 and that gave me 65 for angle 2
Solve using the QUADRATIC FORMULA.
Giving 50 brainliest
SMALLEST NUMBER FIRST. ROUND TO THE NEAREST HUNDREDTH.
4x^2 = 4 - x
x=
x=
Answers
x = -0.85
Step-by-step explanation:
We can rewrite the equation in the standard quadratic form ax^2 + bx + c = 0 by bringing all the terms to one side:
4x^2 + x - 4 = 0
Here, a = 4, b = 1, and c = -4. We can use the quadratic formula, which states that the solutions for x are given by:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
Plugging in the values, we get:
x = (-1 ± sqrt(1^2 - 4(4)(-4))) / 2(4)
x = (-1 ± sqrt(65)) / 8
To find the smallest value of x, we take the negative square root:
x = (-1 - sqrt(65)) / 8 ≈ -0.85
Therefore, the solution to the equation rounded to the nearest hundredth is x = -0.85.
What are the boundaries of the class 1.87-3.43? 3). A) 1.87-3.43 B) 1.82-3.48 C) 1.879-3.439 D) 1.865-3.435
Answers
The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.
The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.
Let's assume the smallest possible unit of measurement is 0.01.
To find the lower boundary:
Lower Boundary = Lower Limit - (0.01/2)
Lower Boundary = 1.87 - 0.005
Lower Boundary = 1.865
To find the upper boundary:
Upper Boundary = Upper Limit + (0.01/2)
Upper Boundary = 3.43 + 0.005
Upper Boundary = 3.435
Therefore, the boundaries of the class 1.87-3.43 are:
D) 1.865-3.435
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helpp please.. its due in 30 minutes
Answers
Answer:
option c is true.
.............
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
third side = 6
using pythagoras theorem:
a² + b² = c²
5² + (√11)² = c²25 + 11 = c²36 = c²c = √36c = 6Answer:
The length of the third side is 6 units
Step-by-step explanation:
We know that this is an right angled triangle , so
by using Pythagoras theorem we can find out the third side of the triangle ..
=> P² + B² = H²
=> 5² + (√11)² = H²
=> 25 + 11 = H²
=> 36 = H²
=> √36 = H
=> 6 = H
x+5y=-5 find x and y intercept
Answers
Answer:
x= (5,0) y= (0,1)
Step-by-step explanation:
Complete the definition of the h(x) so that it is continuous over its domain.
Answers
Answer:
A=0
B=2
so we have our question, h (x) x^3, x<0.
a is equal to 0 since that answer was already given.
so now it would be srqt/x over 0 of 4
4 divided by 0 is 0
1/2x x>4
turns into 1/2x x>4/1
cross simplify
the answer to B is 2
Answer:
a=0
b=2
Step-by-step explanation:
A=1/2w(b+c) solve for c
Answers
9514 1404 393
Answer:
c = 2A/w -b
Step-by-step explanation:
Multiply by the inverse of the coefficient of the parentheses.
\(A=\dfrac{w}{2}(b+c)\\\\\dfrac{2A}{w}=b+c\\\\\boxed{c=\dfrac{2A}{w}-b} \qquad\text{subtract $b$}\)
This is my last question, I hope to get the right answer
pls and ty :>
Answers
Answer:
Options A , D , E
Step-by-step explanation:
Triangle has angles 27° and 45°
The third angle = 180 - 27 - 45 = 108°
Therefore, the angles of ABC are 27° , 45° , 108°
=> ABC is Scalene triangle .
Option A :
Triangle DEF :
3x + 5x + 12x = 180°
20x = 180°
x = 9
Therefore , the angles of DEF = 27° , 45° , 108°
Satisfies
Option B:
Triangle GHI is Isosceles triangle with one angle 108°
But ABC is scalene , therefore not similar.
Does not satisfy.
Option C :
Triangle JKL with one of the angle = 72°
But none of the angles of ABC is equal to 72° .
Therefore, not similar.
Does not satisfy.
Option D :
Triangle MNO have angles 45° and 108°.
Sum of angles of triangles = 180°
So the third angle of MNO = 27°
Therefore , MNO is similar to ABC.
Satisfy.
Option E:
Angles of triangle PQR are 45° , x° , 4x°
Lets find all the angles .
45 + x + 4x = 180°
5x = 180 - 45
5x = 135
x = 27
Therefore, the angles of PQR = 45° , 27° , 108°
Hence similar to triangle ABC.
Satisfy
Option F :
Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°
Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°
=> 35x = 180 - 5
=> 35x = 175
=> x = 5
Therefore, the angles are
5x + 3 = 5( 5) + 3 = 25 + 3 = 28°
9x = 9 ( 5 ) = 45°
21x + 2 = 21(5) + 2 = 105 + 2 = 107°
The angles are not congruent to the angles of Triangle ABC
does not satisfy.
PLEASE ANSWER ASAP!! Will give brainliest!!
Answers
Answer:
B.(2,1)
Step-by-step explanation:
The line segment AB will translate onto segment AB' by the translation,
(x+2, y+1)
You add 2 to the x value and 1 to the y value of segment AB.