find the indefinite integral. (use c for the constant of integration.) (2ti j 3k) dt
Answers
The indefinite integral is: (t^2)i + (t)j + (3t)k + C
To find the indefinite integral of the given vector function (2ti + j + 3k) with respect to t, we need to integrate each component separately.
Step 1: Integrate the i-component with respect to t:
∫(2t) dt = t^2 + C1
Step 2: Integrate the j-component with respect to t:
∫(1) dt = t + C2
Step 3: Integrate the k-component with respect to t:
∫(3) dt = 3t + C3
Now, combine the integrated components and the constants of integration (C1, C2, C3) to form the final result:
Your answer: (t^2)i + (t)j + (3t)k + C
Here, C = (C1)i + (C2)j + (C3)k is the constant of integration in vector form.
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Related Questions
6. Complete: (ref.p.290)
a. 18 ft ..............d
b. 6.5c =.......................fl. oz
Answers
Answer:
a) What is d?
b) 52fl.oz
Solve the following initial value problem.
d²s
dt²
= -36cos(6t+n), s'(0) = 100, s(0) = 0
S=
(Type an exact answer, using * as needed.)
Answers
For starters,
\(\cos(6t+\pi) = \cos(6t) \cos(\pi) - \sin(6t) \sin(\pi) = -\cos(6t)\)
Now by the fundamental theorem of calculus, integrating both sides gives
\(\displaystyle \frac{ds}{dt} = s'(0) + \int_0^t 36 \cos(6u) \, du = 100 + 6 \sin(6t)\)
Integrating again, we get
\(\displaystyle s(t) = s(0) + \int_0^t (100 + 6\sin(6u)) \, du = \boxed{100t - \cos(6t) + 1}\)
Alternatively, you can work with antiderivatives, then find the particular constants of integration later using the initial values.
\(\displaystyle \int \frac{d^2s}{dt^2} \, dt = \int 36\cos(6t) \, dt \implies \frac{ds}{dt} = 6\sin(6t) + C_1\)
\(\displaystyle \int \frac{ds}{dt} \, dt = \int (6\sin(6t) + C_1) \, dt \implies s(t) = -\cos(6t) + C_1t + C_2\)
Now,
\(s(0) = 0 \implies 0 = -1 + C_2 \implies C_2 = 1\)
and
\(s'(0) = 100 \implies 100 = 0 + C_1 \implies C_1 = 100\)
Then the particular solution to the IVP is
\(s(t) = -\cos(6t) + 100t + 1\)
just as before.
What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.
Answers
Answer:
30.1°
Step-by-step explanation:
Let A = angle of elevation
tan A = 55/95
A = arctan 55/95
= 30.1°
Use the formula V = lwh to find the volume of the box.
23. I is 10 in., w is 8 in., and h is 5 in.
Answers
Answer:
400 in²
Step-by-step explanation:
We Know
The formula V = l · w · h
l = 10 in
w = 8 in
h = 5 in
Find the volume of the box.
We Take
10 · 8 · 5 = 400 in²
So, the volume of the box is 400 in²
volume of the box is 400 cubic inches.
The given values are:
l = 10 inches
w = 8 inches
h = 5 inches
Using the formula for the volume of a box:
V = lwh
Substituting the given values:
V = (10 in.)(8 in.)(5 in.)
Multiplying:
V = 400 cubic inches
Therefore, the volume of the box is 400 cubic inches.
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Find the zeros of the function. Write the smaller solution first, and the larger solution second f(x)=(x+2)2-16 smaller x larger x
Answers
Answer:
The solutions are x = -6 or x = +2
Step-by-step explanation:
In this question, we are asked to get the series of the equation given. we can find this by equating what we have to zero
Mathematically, we proceed as follows;
(x +2)^2 -16 = 0
This can be rewritten as;
(x + 2)^2 - 4^2 = 0
we can then proceed to use the difference of two squares to finish this off
Thus, we have
(x + 2 + 4)(x + 2 - 4) = 0
(x + 6)(x-2) = 0
X + 6 = 0 or x-2 = 0
x = -6 or x = +2
To find how high school students feel about hot lunches, adam walks to the nearest high school and gives a survey postcard to every twentieth student that enters the building. he asks the students to mail the postcard in if they choose to participate in the study. why might the method used be biased?
Answers
The statement second and statment third are the reason that method used might be biased.
It is given that Adam gives a survey postcard to every twentieth student that enters the building.
It is required to find the statement why the method used to be biased.
What is the sample size?The sample size is nothing but the number of observations in an activity or participants generally it is represented by the small letter 'n'.
Adam gives a survey postcard to every twentieth student, not every student that enters the building.
It means asking every twentieth student does not represent the student population.
Also, the opinions of students at one high school do not exactly reflect the opinions of students at other high schools.
Students that take the time to fill out the survey and send it in are likely passionate about hot lunches.
Thus, the statement second and statment third are the reason that method used might be biased.
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Answer:
B and C
Step-by-step explanation:
If anyone know how to solve this please help!!
this my last slide to finish
solve this please!!
Answers
Answer:
Area=18ft^3 Surface Area=44ft^2
Step-by-step explanation:
The formula for area of a rectangular prism is A=lwh. So you just plus that in
Answer:
Volume = 18 cubic feet
Surface Area = 44 square feet
Double width = Double the space
Step-by-step explanation:
Please see attached explanations.
Surface area is the area (one side multiplied by another) of every side of the storage box, added together.
I have labeled each unique pair of sides as a, b, and c. That is top and bottom, left and right side, and front and back side.
Volume is the length multiplied by the width multiplied by the height.
By doubling the width, you are doubling the size of the box in that given direction. You can prove this mathematically by making the width twice of what it was and finding volume again.
The base of a solid is the circle x^2+y^2=81. Find the volume of the solid given that the cross sections perpendicular to the x-axis are isoceles right triangles with leg on the xy-plane.
Answers
the volume of the solid is 364.5 cubic units.To find the volume of the solid, we need to integrate the area of each cross section perpendicular to the x-axis.
First, let's find the equation of the circle in terms of y:
x^2 + y^2 = 81
x^2 = 81 - y^2
x = +/- sqrt(81 - y^2)
Since the cross sections are isoceles right triangles with legs on the xy-plane, the height and base of each triangle will be equal. Let's call this length "s".
Therefore, the area of each cross section is (1/2) * s^2.
To find "s" in terms of y, we can use the Pythagorean theorem:
s^2 = x^2 + y^2
s^2 = 81 - y^2 + y^2
s^2 = 81
s = 9
Now we can integrate the area of each cross section:
V = ∫(0 to 9) (1/2) * s^2 dx
V = ∫(0 to 9) (1/2) * 81 dx
V = (1/2) * 81 * ∫(0 to 9) dx
V = (1/2) * 81 * 9
V = 364.5
Therefore, the volume of the solid is 364.5 cubic units.
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A pairwise scatter plot matrix is perfectly symmetric and the
scatterplot at the lower left corner is identical to the one at the
upper-right
True or False
Answers
True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.
Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.
The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.
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g thompson and thompson is a steel bolts manufacturing company. their current steel bolts have a mean diameter of 145 millimeters, and a variance of 49.if a random sample of 34 steel bolts is selected, what is the probability that the sample mean would be less than 143.5 millimeters? round your answer to four decimal places.
Answers
The probability that the sample mean would be less than 143.5 millimeters is 0.1695.
The p-value is a quantitative value that allows us to determine whether a null hypothesis (or claimed hypothesis) is true. Determining the p-value allows us to determine whether we should reject or not reject a claimed hypothesis. We set the significance level, which serves as the cutoff level, for whether a hypothesis should be rejected or not. This cutoff point is also called the alpha level (α). Typical values for the alpha levels are 0.1%, 0.5%, 1%, 2.5%, 5%, 10%, 20%, 25%, and 40%.
If the p-value is less than α, then this represents a statistically significant p-value. This means that we can reject the claimed hypothesis. If the p-value is greater than or equal to α, we cannot reject the claimed hypothesis. To calculate the p-value, this calculator needs 4 pieces of data: the test statistic, the sample size, the hypothesis testing type (left tail, right tail, or two-tail), and the significance level (α).
n = 34
Mean = μ = 145 mm
Variance = σ² = 49
∴ Standard deviation = σ = √49 = 7
\(Z = \frac{value-mean}{standard deviation}\)
The probability required is the difference of the p-value of Z when X = 145 - 1.5 = 143.5 and when X = 145 + 1.5 = 146.5.
When X = 143.5:
z = x - μ/ σ = 143.5 - 145/ 7 = -1.5/7 = -0.2142
p-value is 0.4152
When X = 146.5:
z = x - μ/ σ = 146.5 - 145/ 7 = 1.5/7 = 0.2142
p-value is 0.5847.
The probability required is 0.5847 - 0.4152 = 0.1695
Thus, the probability that the sample mean would be less than 143.5 millimeters is 0.1695.
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I'll give you a Branily Jin spent 32 hours on math and language arts homework last month. She spent about 30% of this total time on math. About how many hours were spent on math?
Group of answer choices
3/10 of 30 hours is 9 hours
1/5 of 30 hours is 6 hours
1/2 of 30 hours is 15 hours
3/5 of 30 hours is 18 hours
Answers
Answer:
its a
Step-by-step explanation:
32 divided by .3 gives you the correct answer
Use Inverse Laplace Transformation to convert s-domain to time-domain function for the following functions
a)
F(s) = \(\large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
\(f(t)=\) ....
b)
F(s) = \(\large{\frac{s-1}{s^2-3s+2}}\)
\(f(t)=\) .....
c)
F(s) = \(\large{\frac{s-1}{s^2+s-2}}\)
\(f(t)=\) ....
d)
F(s) = \(\large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
\(f(t)=\) ....
Answers
The inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
How did we get the value?To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:
a)
\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:
\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)
Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of
\(e^(-0.5s) \: is \: e^(0.5t).\)
Applying this, we get:
\(f(t) = 2e^(0.5t) * t \\
b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)
We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)
Simplifying, we have:
\(F(s) = \large{\frac{1}{s-2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(2t) \\
c) F(s) = \large{\frac{s-1}{s^2+s-2}}
\)
We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:
\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{1}{s+2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-2t) \\
d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{e^{-s}}{s+2}}\)
The Laplace transform of
\(e^(-s) \: is \: 1/(s + 1).\)
Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
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Finish the chart for
y= 1/2x
Answers
Answer:
So we know that y=1/2x. So we apply this equation on each x.
x=-2, so y=1/2*-2 which is -1. so y = -1
x=0, so y = 1/2 * 0 which is 0. so y=0
x=2, so y = 1/2*2 which is 1. so y=1
Hope this helps :))
Hope this helps
Have a great day/night
Let y = 3√x.
Find the change in y, ∇y when x=5 and ∇x = 0.1 ___________________________
Find the differential dy when x = 5 and dx = 0.1 __________________
Answers
The differential dy when x = 5 and dx = 0.1 is 0.03/√5.
Given the equation: y = 3√x ----(1)
Now we have to find the change in y, ∇y when x = 5 and ∇x = 0.1.
To find out the change in y, we will differentiate the given equation with respect to x.
Here,∴ y = 3x^(1/2)We know that ∇y = dy/dx …(2)
Again, y = 3x^(1/2)By differentiating with respect to x, we get, dy/dx = 3/2 × x^(-1/2)
Therefore, when x = 5,∴ ∇y = dy/dx = 3/2 × 5^(-1/2)
= 3/2 × 1/√5 = 3/2√5
Answer: ∇y = 3/2√5 which is approximately equal to 0.67 We are given y = 3√x and are to find the differential dy when x = 5 and dx = 0.1.
In order to find the differential dy, we first need to calculate its value for a particular value of x. Here, the value of x is given as 5.
Therefore, the differential dy is given by:dy = (dy/dx) * dx ... (1)
Now, we need to calculate dy/dx. We know that: y = 3√xDifferentiating both sides with respect to x, we get: dy/dx = (3/2) * (x^(-1/2))... (2)
Substituting the value of x = 5 in equation (2), we get: dy/dx = (3/2) * (5^(-1/2))
= (3/2) * (1/√5)
Now, substituting the values of dy/dx and dx in equation (1), we get: dy = (3/2) * (1/√5) * 0.1
= 0.03/√5
Hence, the differential dy when x = 5 and dx = 0.1 is 0.03/√5.
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jared has a wooden board 11 ft long. he wants to cut it into two pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. how long will each piece of board be? enter your answers in the boxes.
Answers
On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.
What is equation?Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.
The lengths of the shorter and longer pieces of a board should be determined.
the case
Let's say that the shorter parts are x in length.
as stated
Jared has an 11-foot wooden board with him.
In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.
The length of the longer pieces is then equal to 4x - 4.
The equation then becomes
\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)
The shorter pieces will therefore be 3 feet long.
The longer pieces' length -
\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)
The longer pieces will therefore be 8 feet long.
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Solve the equation, show all your work: 3x - 12 = 15
Answers
Answer:
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Given equation,
→ 3x - 12 = 15
Now the value of x will be,
→ 3x - 12 = 15
→ 3x = 15 + 12
→ x = 27/3
→ [ x = 9 ]
Hence, the value of x is 9.
Three paisley ties and 4 solid ties are in a dresser. What is the probability of drawing out 1 paisley tie without looking? Write your answer as a decimal rounded to two decimal places.
Answers
The probability of drawing out 1 paisley tie without looking is P ( A ) = 3/7
Given data ,
To calculate the probability of drawing out 1 paisley tie without looking, we need to determine the total number of ties and the number of paisley ties.
The total number of ties is the sum of the paisley ties and solid ties, which is 3 + 4 = 7
The number of paisley ties is 3
Therefore, the probability of drawing out 1 paisley tie without looking is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 7
Hence , the probability of drawing out 1 paisley tie without looking is 0.43
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SOS URGENT PLS HELP ASAP THANKS ILL GIVE BRAINLIEST DUE TOMORROW PLSSSS TYSM
Answers
Step-by-step explanation:
you can ask any questions for clarification
A bag contains 7 red marbles, 8 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that all three marbles drawn will be red?
Answers
Answer:
3.1%-------------------------
Total number of marbles:
7 + 8 + 5 = 20Probability of a first red marble:
7/20Probability of a second red marble:
6/19Probability of a third red marble:
5/18Probability of drawing three red marbles is:
P(r, r, r) = 7/20*6/19*5/18 = 0.0307 ≈ 3.1 %BRAINLIEST IF CORRECT PLEASE HELP
Answers
Answer:
4 3/28
Step-by-step explanation:
Hope this helps!
Answer:
\(4 \frac{3}{28}\)
Step-by-step explanation:
First, let's turn these mixed fractions to regular fractions to make multiplying easier:
3 2/7 = 2/7 + 21/7 = 23/7
1 1/4 = 1/4 + 4/4 = 5/4
Then multiply:
\(\frac{23}{7}*\frac{5}{4} = \frac{( 23 * 5 ) }{(7*4)} =\frac{115}{28}\)
This fraction cannot be simplified, so let's turn it into a mixed fractions:
\(\frac{115}{28} =4\frac{3}{28}\)
What about this one to
Answers
Answer:
It will take them 36 hours.
Step-by-step explanation:
2×[3+2×(10-3)]=
Pa helppppp
Answers
Step-by-step explanation:
2 × [3 + 2 × (10 - 3)] =
2 × (3 + 2 × 7) =
2 × (3 + 14) =
2 × 17 = 34
Answer:
34
Step-by-step explanation:
2 × [3 +2 × (10 - 3)]=
2 × (3 + 2 × 7)=
2 × ( 3 + 14)=
2 × 17=
34.
Can anyone do me the biggest favor and help me out please
Answers
Answer:
5
Step-by-step explanation:
rs+14s
6(1/4)+14(1/4)
Answer: rs+14s=5 when r=6 and s=\(\frac{1}{4}\)
Step-by-step explanation:
Let's solve by subbing in the values
\(rs+14s\\(6)(\frac{1}{4} )+14(\frac{1}{4} )\\\frac{6}{4} +\frac{14}{4} \\\frac{20}{4}\\5\)
Topic: Place Value and Names for Whole Numbers
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
What digit is in the hundred thousands place of 7, 649, 852?
Answers
649, 852 are digit is in the hundred thousands place in Whole numbers.
What in mathematics is a whole number?
Whole numbers those figures that contain zero and natural integers. not a decimal or fraction. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer. 0, the opposite of something, or a counting number.
649 -
The 6 is in the hundreds place, so you in order to round it you would look at the 4. Since 4 is a a number less than 5 you round down. That would mean 600 instead of 700.
852 -
852 rounded to the neatest hundred is 900.
852 is closer to 800 or 900, we need to determine how high the lower values are. Since 52 is closer to 100 than 0, this means the total number should be rounded up. Therefore the answer is 900.
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Every Sunday, Tara has breakfast at her grandparents' house. Tara is excited this weekend because her grandma is making her favorite food, giant pancakes! Grandma makes a really giant pancake and cuts it into 8 equal pieces. Tara eats 7 pieces and her grandma eats 1 piece.
What fraction of the giant pancake does Tara eat?
Answers
Answer:
7/8
Step-by-step explanation:
because the are 8 pieces in the entire circle and Tara eats 7 out of 8 of them
using laws of exponents, simplify and write the answer in exponential form: 2⁵ x 5⁵
Answers
Answer: 100,000
Step-by-step explanation: All you have to do is put that equation in a calculator and I got that answer.
Answer:
100,000
Step-by-step explanation:
Simplify:
2⁵ = 2 × 2 × 2 × 2 × 2 = 325⁵ = 5 × 5 × 5 × 5 × 5 = 3, 125Now multiply the rest:
32 * 3, 125 = 100,000Therefore, the answer is 100,000
the number of students at a local university increased from 1,200 students to 5,200 students in 10 years. based on a geometric mean, the university grew at an average percentage rate of
Answers
The university grew at an average percentage rate of approximately 15.36% per year.
1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%
Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.
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Point m is on line segment \overline{ln} ln . given mn=3x,mn=3x, ln=4x+9,ln=4x+9, and lm=2x+7,lm=2x+7, determine the numerical length of \overline{lm}. lm .
Answers
Considering the equations for the length of each segment, the numerical length of line ln is of 17 units.
What is the length of line segment ln?Line segment ln is divided by the point m, hence the length of the line can be written according to the following equation:
ln = lm + mn.
The measures are given as follows:
ln = 4x + 9.lm = 2x + 7.mn = 3x.Hence, using the equation we can solve for x, as follows:
ln = lm + mn.
4x + 9 = 2x + 7 + 3x
5x + 7 = 4x + 9
x = 2.
Hence the numerical length of line ln is given by:
ln = 4x + 9 = 4(2) + 9 = 8 + 9 = 17 units.
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A sample of 250 observations is selected from a normal population for which the population standard deviation is known to be 25. The sample mean is 20
a. Determine the standard error of the mean. (Round your answer to 3 decimal places.)
Standard error of the mean c. Determine the 95% confidence interval for the population mean. (Round your answers to 3 decimal places.)
Answers
a. The standard error of the mean can be determined using the formula:
Standard error of the mean = population standard deviation / square root of sample size
Plugging in the given values, we get:
Standard error of the mean = 25 / square root of 250
Standard error of the mean = 25 / 15.8114
Standard error of the mean = 1.579 (rounded to 3 decimal places)
The standard error of the mean measures the amount of variability or error that is expected in the sample mean when compared to the true population mean. It is calculated by dividing the population
by the square root of the sample size. In this case, the standard error of the mean is 1.579, indicating that the sample mean of 20 is expected to be off by around 1.579 units from the true population mean.
c. To determine the 95% confidence interval for the population mean, we can use the formula:
Confidence interval = sample mean +/- (critical value) x (standard error of the mean)
The critical value can be obtained from a t-distribution table with n-1 degrees of freedom, where n is the sample size. For a 95% confidence interval and 249 degrees of freedom, the critical value is 1.96.
Plugging in the given values, we get:
Confidence interval = 20 +/- (1.96) x (1.579)
Confidence interval = 20 +/- 3.095
Confidence interval = (16.905, 23.095) (rounded to 3 decimal places)
The confidence interval is a range of values that is expected to contain the true population mean with a certain degree of confidence. In this case, we are 95% confident that the true population mean falls within the range of 16.905 to 23.095. This means that if we were to repeat this sampling process many times, 95% of the resulting confidence intervals would contain the true population mean.
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find the distance between the points given (2, 5) and (6,8)
Answers
We have a formula to it, given the points (x, y) and (xo, yo)
\(dist = \sqrt{(x-xo)^2+(y-yo)^2}\)
So,
\(dist = \sqrt{(6-2)^2+(8-5)^2}\)
\(dist = \sqrt{4^2+3^2}\)
\(dist = \sqrt{25}\)
\(dist = 5\)
Answer:
The distance between the two points is 5
Step-by-step explanation: