Please help me. I don't understand this.​

Answer:

364m^2

Step-by-step explanation:

Surface area is calculated by adding the area of each face.

Because this is a cubiod, there are 6 sides in pairs of identical area.

4m × 5m = 20m^2

4m × 18m = 72m^2

5m × 18m = 90m^2

90m^2 +72m^2 +20m^2 = 182m^2

This is 3 faces of the 6, so double it.

182m^2 ×2 = 364m^2

The deviations of each data point from the mean are: -0.35, -0.34, -0.33, -0.32, -0.31, -0.30, -0.29, -0.28, -0.27, -0.26, -0.25, -0.24, -0.23, -0.22, -0.21, -0.20, -0.19, -0.18, 0.08, -0.07, -0.06.

a. To find the median birth weight, we need to arrange the data in ascending order. The stem-plot shows that the weights range from 1.92 kg to 6.16 kg. The middle value of the data set is the median. We can see that the median falls in the 3rd stem, which has values 223467899. The 4th value (4) in this stem represents the 4th value of the 9 values in the stem, so the median birth weight is 3.45 kg.

b. To find the mean birth weight, we need to add up all the values and divide by the total number of values. We can use the stem-plot to count the number of values in each stem. The sum of all the values is:

(1.92 * 1) + (1.93 * 1) + (1.94 * 1) + (1.95 * 1) + (1.96 * 1) + (1.97 * 1) + (1.98 * 1) + (1.99 * 1) + (2.00 * 1) + (2.01 * 1) + (2.02 * 1) + (2.03 * 1) + (2.04 * 1) + (2.05 * 1) + (2.06 * 1) + (2.07 * 1) + (2.08 * 1) + (2.09 * 1) + (3.00 * 2) + (3.01 * 1) + (3.02 * 1) + (3.03 * 1) + (3.04 * 1) + (3.05 * 1) + (3.06 * 1) + (3.07 * 1) + (3.08 * 1) + (3.09 * 1) + (4.00 * 1) + (4.01 * 1) + (4.02 * 1) + (4.03 * 1) + (4.04 * 1) + (5.00 * 2) + (5.01 * 1) + (5.02 * 1) + (6.00 * 1)

The total number of values is 9 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 17.

Therefore, the mean birth weight is:

(1.92 * 1 + 1.93 * 1 + ... + 6.00 * 1) / 17 = 3.27 kg (rounded to two decimal places).

c. To find the sample standard deviation of the birth weight, we first need to find the deviations of each data point from the mean. We can use the mean we calculated in part (b). Then we square each deviation, add up the squares, divide by n-1 (since this is a sample), and take the square root.

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The subset S is not a subspace of V.

Given a set S is a subspace of the vector space V are:

V = C2(I) and S is the subset of V consisting of those functions satisfying the differential equation

y''−4y′+3y=0.

There are three main parts of this question, each with a different scenario. We must determine whether or not each of the subsets is a subspace of the given vector space. A subspace is a subset of a vector space that satisfies the following three axioms:

A subspace is a subset of a vector space that satisfies the following three axioms:
- The zero vector is an element of the subset.
- For any two vectors in the subset, their sum is also in the subset.
- For any scalar c, and any vector in the subset, their product is also in the subset.
We will go through the given cases to determine whether or not they meet these criteria. A.

V=C2 (I), and S is the subset of V consisting of those functions satisfying the differential equation

y''−4y′+3y=0.

The differential equation satisfies the following properties: y''-4y'+3y=0 implies that

(D-3)(D-1)y=0 implies

y=Ae^3x + Be^x.

where A and B are arbitrary constants.

Both Ae^3x and Be^x are solutions of the differential equation, so any linear combination of these solutions is also a solution. Since a subspace must be closed under scalar multiplication and addition, the subset of the given vector space is a subspace. So, the answer to part A is "Yes, it is a subspace."

Hence, the conclusion is that the subset S is a subspace of V.C. V is the vector space of all real-valued functions defined on the interval [a,b], and S is the subset of V consisting of those functions satisfying f(a)=3.

Let's consider two functions f and g in S. For any scalars c1 and c2, we can check if f+c1g and c2f are also in S.

The function f(a) = 3 for all f in S, so 3 and 3+0x are in S, but it is not necessarily true that

c*f(a)=3 for all c and all f in S.

Hence, S is not a subspace of V.

So, the answer to part C is "No, it is not a subspace." Therefore, the conclusion is that the subset S is not a subspace of V.

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Answer: 2/5

Step-by-step explanation: find a number where both the numerator and denominator are divisible by

Answer:2/5

Step-by-step explanation:

find the GCD (or HCF) of numerator and denominator

GCD of 110 and 275 is 55

Divide both the numerator and denominator by the GCD

110 ÷ 55

275 ÷ 55

Reduced fraction:

2

5

Therefore, 110/275 simplified to lowest terms is 2/5.

In 2.63  hours the prices of the two stocks be the​ same

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer: D. f(x)-2

Step-by-step explanation:

Changes insides the parenthesis translate left and right. If it is [+] a number, then it is moving to the left. If it is [-] a number, then it is moving to the right.

Changes outside the parenthesis translate up and down. If it is [+] a number, then it is moving upward. If it is [-] a number, then it is moving downward.

----------------------------------------------------------------------------------------------------

Given

Translate f(x) 2 units downward

Solve

According to the rules, it should be -2 units outside of the parenthesis

Therefore, it should be f(x)-2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

D. f(x) – 2

Step-by-step explanation:

(a) 95% confidence interval for average run time: (19.832, 20.568), 99% confidence interval: (19.7044, 20.6956). Assumptions: random and representative sample, normal distribution, accurate estimate of population standard deviation.

(b) 99% confidence interval for mean calcium concentration: (0.458, 0.852). Assumptions: random and representative sample, normal distribution, estimated sample standard deviation as an accurate estimate of population standard deviation.

(c) Approximate 99% confidence interval for defect rate: (0.025, 0.047).

We have,

(a) To calculate a 95% confidence interval for the average run time of phone batteries, we can use the following formula:

Confidence interval = sample mean ± (critical value x (sample standard deviation / sqrt(sample size)))

Assuming a normal distribution and using a 95% confidence level, the critical value for a two-tailed test is approximately 1.96.

Substituting the given values into the formula:

Sample mean = 20.2 hours

Sample standard deviation = 0.6 hours

Sample size = 10

Confidence interval = 20.2 ± (1.96 x (0.6 / √(10)))

Confidence interval = 20.2 ± (1.96 x (0.6 / √(10)))

Confidence interval = 20.2 ± 0.368

Therefore, the 95% confidence interval for the average run time is (19.832, 20.568).

To calculate the 99% lower and upper confidence bounds, we can use the same formula with a different critical value.

Assuming a 99% confidence level, the critical value for a two-tailed test is approximately 2.58.

Confidence interval = 20.2 ± (2.58 x (0.6 / √(10)))

Confidence interval = 20.2 ± 0.4956

Therefore, the 99% confidence interval for the average run time is (19.7044, 20.6956).

Assumptions: The assumptions made here are that the sample is random and representative of the population, the run times of phone batteries are normally distributed, and the sample standard deviation is an accurate estimate of the population standard deviation.

(b) To calculate a 99% confidence interval on the mean calcium concentration, we can use the given confidence interval as a starting point.

Given: 95% CI = (0.49, 0.82]

To calculate the 99% confidence interval, we need to find the margin of error. Since we don't have the sample standard deviation, we can estimate it based on the range of 95% CI.

Estimated sample standard deviation = (upper bound - lower bound) / (2 x critical value)

Estimated sample standard deviation = (0.82 - 0.49) / (2 x 1.96) = 0.166

Using the estimated sample standard deviation, we can calculate the margin of error:

Margin of error = critical value x (sample standard deviation / sqrt(sample size))

Assuming the sample size is large enough, we can use the same critical value for the 99% CI as we used for the 95% CI (approximately 1.96).

Margin of error = 1.96 x (0.166 / √(100))

Margin of error = 0.032

To calculate the 99% CI, we adjust the lower and upper bounds of the 95% CI by adding and subtracting the margin of error:

99% CI = (lower bound - margin of error, upper bound + margin of error)

99% CI = (0.49 - 0.032, 0.82 + 0.032)

Therefore, the 99% confidence interval on the mean calcium concentration is (0.458, 0.852).

Assumptions: The assumptions made here are that the 100 random samples are representative of the population, the calcium concentrations are normally distributed, and the estimated sample standard deviation is an accurate estimate of the population standard deviation.

(c) To calculate an approximate 99% confidence interval for the defect rate, we can use the formula for a confidence interval on a proportion.

Confidence interval = sample proportion

Thus,

(a) 95% confidence interval for average run time: (19.832, 20.568), 99% confidence interval: (19.7044, 20.6956). Assumptions: random and representative sample, normal distribution, accurate estimate of population standard deviation.

(b) 99% confidence interval for mean calcium concentration: (0.458, 0.852). Assumptions: random and representative sample, normal distribution, estimated sample standard deviation as an accurate estimate of population standard deviation.

(c) Approximate 99% confidence interval for defect rate: (0.025, 0.047).

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The formula for a line segment is:

segment = √((x2 - x1)^2 + (y2 - y1)^2)

1. Calculate the difference between the x-coordinates: x2 - x1

2. Square the result of step 1: (x2 - x1)^2

3. Calculate the difference between the y-coordinates: y2 - y1

4. Square the result of step 3: (y2 - y1)^2

5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2

6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)

This final result is the length of the line segment.

The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.

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The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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The LS estimator of βˆ0 in a simple linear regression model is equal to the sample mean of the dependent variable, while the LS estimator of βˆ1 is equal to the sample covariance between x and y divided by the sample variance of x.

1. LS estimator of βˆ0:

In a simple linear regression model, the equation is y = β0 + ε, where y represents the dependent variable, β0 is the intercept, and ε is the error term. The LS estimator of βˆ0 is obtained by minimizing the sum of squared residuals (SSR). The SSR is defined as the sum of the squared differences between the observed values of y and the predicted values of y based on the model.

When we minimize the SSR, we differentiate it with respect to β0 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ0 is equal to the value of β0 that minimizes the SSR. The value of β0 that minimizes the SSR is the one that makes the sum of the residuals equal to zero.

Since the residuals represent the differences between the observed values of y and the predicted values of y, the sum of the residuals can be interpreted as the sum of the deviations of the observed values from the predicted values. When the sum of the residuals is zero, it implies that the sum of the deviations is also zero.

Therefore, the LS estimator of βˆ0 is equal to the sample mean of the dependent variable, as the sample mean represents the average value of the dependent variable and minimizes the deviations from the predicted values.

2. LS estimator of βˆ1:

In a simple linear regression model, the equation is y = β0 + β1x + ε, where y represents the dependent variable, x represents the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term. The LS estimator of βˆ1 is obtained by minimizing the SSR, similar to the LS estimator of βˆ0.

To derive the LS estimator of βˆ1, we differentiate the SSR with respect to β1 and set the derivative equal to zero. This leads to the condition that the LS estimator of βˆ1 is equal to the value of β1 that minimizes the SSR. The value of β1 that minimizes the SSR is the one that makes the sum of the products of the residuals and the corresponding values of x equal to zero.

The product of the residuals and the values of x represents the covariance between x and y, as it measures the joint variability between the two variables. The sum of these products being zero implies that the covariance between x and y is zero.

The sample covariance between x and y divided by the sample variance of x is an unbiased estimator of the population slope β1. Hence, the LS estimator of βˆ1 is given by the sample covariance between x and y divided by the sample variance of x.

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Answer:

D

Step-by-step explanation:

D is more appropriate for distance formula because you are looking for the whole length between two points rather than the point in between the the two points such as in the other answers.

Answer: 16

Step-by-step explanation:

a. For a 4-disk RAID-0 (striping), each write will be spread evenly across all 4 disks. This means that each disk will receive 3 writes. Since each write takes D time units, it will take a total of 3D time units to complete the 12 writes.

b. For a 4-disk RAID-1 (mirroring), each write will be mirrored onto another disk, resulting in 6 writes total. Since each write takes D time units, it will take a total of 6D time units to complete the 12 writes.

c. For a 4-disk RAID-4 (parity), each write will be spread evenly across 3 of the disks, while the 4th disk will be used for parity. This means that each disk will receive 4 writes, and the parity disk will be written to 3 times. Since each write takes D time units, it will take a total of 4D time units to complete the writes on each data disk, and 3D time units to complete the writes on the parity disk. Therefore, it will take a total of 15D time units to complete the 12 writes on a 4-disk RAID-4.

the time it takes to complete a small workload consisting of 12 read/writes to random locations within a RAID will depend on the RAID configuration. For a 4-disk RAID-0, it will take 3D time units. For a 4-disk RAID-1, it will take 6D time units. For a 4-disk RAID-4, it will take 15D time units.

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The Taylor series for f centered at 4 is f(x) = 1/2 - 1/9(x - 4) + (1/18)(x - 4)² - (1/27)(x - 4)³ + ... and radius of convergence is 3

The general formula for the Taylor series expansion of a function f centered at a is:

f(x) = f(a) + f'(a)(x - a) + f''(a)(x - a)²/2! + f'''(a)(x - a)³/3! + ...

In this case, we are given the expression for f^(n)(4) as follows:\(f(n)(4) = \frac{-1^{n}n! }{3^{n}(n+2) }\)

Let's find the first few derivatives:

f(0)(4) = \(\frac{-1^{0}0! }{3^{0}(0+2) }\\\) =  1/2

f'(1)(4) = \(\frac{-1^{1}1! }{3^{1}(1+2) }\\\) = - 1/9

f''(2)(4) =\(\frac{-1^{2}2! }{3^{2}(2+2) }\\\) = 1/18

f'''(3)(4) = \(\frac{-1^{3}3! }{3^{3}(3+2) }\\\)= - 1/27

We can write the Taylor series for f centered at 4 as:

f(x) = 1/2 - 1/9(x - 4) + (1/18)(x - 4)² - (1/27)(x - 4)³ + ...

This is the Taylor series expansion for f centered at 4

Radius of convergence of the Taylor series

R = Lim \(\frac{-1^{n+1}(n+1)! }{3^{n+1}(n+1+2) }/\frac{-1^{n}n! }{3^{n}(n+2) }\\\)

n ⇒ ∞

R = 3

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a. the value of f(-7) is 39.

b. f(x) = 4-5x ; domain of f: (-∞, ∞)

a. we cannot take the square root of a negative number without using imaginary numbers, the value of f(-9) is undefined.

b. domain of f: [49, ∞)

a. For f(x) = 4-5x and x = -7, we have:

f(-7) = 4-5(-7)

f(-7) = 4 + 35

f(-7) = 39

b. To find the domain of f(x), we need to determine the set of values that x can take without resulting in an undefined function. For f(x) = 4-5x, there are no restrictions on the domain. Therefore, the domain of f is all real numbers. Hence, we can write:

f(x) = 4-5x ; domain of f: (-∞, ∞)

Now let's move on to the next function.

f(x)=√√x - 7 and x = -9

a. To evaluate f(x) for x = -9, we have:

f(-9) = √√(-9) - 7

f(-9) = √√(-16)

f(-9) = √(-4)

Since we cannot take the square root of a negative number without using imaginary numbers, the value of f(-9) is undefined.

b. To find the domain of f(x), we need to determine the set of values that x can take without resulting in an undefined function. For f(x) = √√x - 7, the radicand (i.e., the expression under the radical sign) must be non-negative to avoid an undefined function.

Therefore, we have:√√x - 7 ≥ 0√(√x - 7) ≥ 0√x - 7 ≥ 0√x ≥ 7x ≥ 49

The domain of f is [49, ∞). Hence, we can write:f(x) = √√x - 7 ; domain of f: [49, ∞)

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To calculate the amount of bracing Gray will need for the shelf, we can use the Pythagorean theorem. According to the question, each brace will be attached to the front edge of the 6-inch shelf and 3 inches down the wall.

The front edge of the shelf and the wall form a right triangle, with the braces acting as the hypotenuse. We can use the Pythagorean theorem (a² + b² = c²) to find the length of the braces.

Let's consider one brace. The front edge of the shelf is 6 inches long, and the distance down the wall is 3 inches. Using the Pythagorean theorem, we can calculate the length of the brace:

6² + 3² = c²
36 + 9 = c²
45 = c²

To find the length of the brace, we need to take the square root of both sides of the equation:

√45 = √c²
c ≈ 6.71 inches

Therefore, each brace will be approximately 6.71 inches long.

Since Gray will be using 3 braces, we can multiply the length of one brace by the number of braces to find the total amount of bracing needed:

6.71 inches x 3 braces ≈ 20.13 inches

So Gray will need approximately 20.13 inches of bracing for the shelf.

Remember to round your answer to the nearest tenth of an inch as specified in the question.

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Answer:

Step-by-step explanation:

if the ant travels 980 every 5 minutes

980/5=196 inch/min

in 7 min

196*7=1372 inches

The coffee filter will fall at a constant speed, with no acceleration.

For a falling coffee filter, the free body diagram at the instant when it is released will include two forces: the gravitational force acting downwards and the air resistance acting upwards. The gravitational force will be larger than the air resistance force, causing the coffee filter to accelerate downwards. At terminal velocity, the air resistance force will be equal in magnitude to the gravitational force, resulting in a net force of zero and no acceleration.

At the instant when the coffee filter is released, the free body diagram will show that the gravitational force (Fg) acting downwards is greater than the air resistance force (Fa) acting upwards. Therefore, the coffee filter will experience a net force downwards and accelerate downwards at a rate of 9.8 m/s². As the coffee filter gains speed, the air resistance force will increase until it reaches a point where it is equal in magnitude to the gravitational force, resulting in a net force of zero. This is known as terminal velocity, and the free body diagram will show that the gravitational force and the air resistance force are equal in magnitude.

Therefore, the coffee filter will fall at a constant speed, with no acceleration.

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a) The more appropriate domain for noah to use instead is [0.5].

b) The approximate maximum volume of the box occurs when the length of the cutout squares is x ≈ 2.029 inches, and the maximum volume is approximately 20.9 cubic inches.

a. The domain of the function v(x) should be limited to positive values of x, since the length of the cutout squares cannot be negative. Therefore, a more appropriate domain for Noah's function would be [0, 5], which includes all possible values of x that could be used to make the box.

b. To find the approximate maximum volume of the box, we can use calculus. The volume of the box is given by the function v(x) = x(5-2x)(6-2x), where x represents the length of the cutout squares in inches. To find the maximum volume, we need to find the value of x that maximizes this function.

We can take the derivative of the function v(x) with respect to x, and set it equal to zero to find the critical points:

v'(x) = 36x - 56x^2 + 20x^3 = 0

Solving for x, we get x ≈ 0.791, x ≈ 2.029, and x ≈ 2.78.

To determine which critical point corresponds to the maximum volume, we can evaluate the second derivative of v(x) at each critical point:

v''(x) = 36 - 112x + 60x^2

At x ≈ 0.791 and x ≈ 2.78, v''(x) is positive, indicating a local minimum. At x ≈ 2.029, v''(x) is negative, indicating a local maximum.

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Answer:

96.1826

Step-by-step explanation:

to make that decimal numbers in 4 decimal places, then you count the number at the right hand side after the point, when u get to the 4th digit, you stop, then if the 5th digit is more than 4, they you add 1 to the 4th digit and there u have 96.1826

The Round 96.1825899389 to 4 decimal places will be 96.1826

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to Round 96.1825899389 to 4 decimal places.

To make that decimal numbers in 4 decimal places, then we count the number at the right hand side after the point, when u get to the 4th digit.

Therefore, the Round 96.1825899389 to 4 decimal places will be 96.1826

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Answer: 8

if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.

Step-by-step explanation:  you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.

you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.

Answer:

8 I believe

Step-by-step explanation:

1.50 x 3 = 4.50 so for 4 bags you need 4.50

1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal

you bought 6 which is two times 3 so would get two free

6+2= 8

I apologize if I didn't explain it enough or got it wrong

Answer:

(7,0)

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

(3,5) -> (11, -5) requires a transition of (+8, -10) divide this by 2 to see how much both sides changes (+4, -5) then add this to the original problem , (3,5) to get (7,0)

Answer:

B=28

Step-by-step explanation:

Answer:

I think the last one try I guess if not then ask someone else