What is the midpoint of the line segment graphed below?10(5,9)(2-1)-1010- 10O A. (7,8)OB.OC (34)OD (710
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ANSWER:
[tex](\frac{7}{2},4)[/tex]STEP-BY-STEP EXPLANATION:
To calculate the value of the midpoint, we use the formula of the midpoint which is the following:
[tex](x_m,y_m)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Replacing and solving the midpoint:
[tex]\begin{gathered} (x_m,y_m)=(\frac{5+2_{}}{2},\frac{9-1_{}}{2}) \\ (x_m,y_m)=(\frac{7_{}}{2},\frac{8_{}}{2})=(\frac{7}{2},4) \end{gathered}[/tex]Related Questions
Solve the system of equations. If the system has no solution say that it's inconsistent. [tex]\begin{gathered}x + 5y = 2 \\ 3x + 15y = 6\end{gathered}[/tex]
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Answer:
Explanation: Given the system of equations:
[tex]\begin{gathered} x+5y=2 \\ 3x+15y=6 \end{gathered}[/tex]Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on
taking out a 5-year loan at an APR of 4.21%. What is the monthly payment?
O $1,027.35
O $1,385.38
O $1,400.34
O $1,100.48
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Answer:
1027.35
Step-by-step explanation:
60 month/55498
A number times the sum of 12 and 32 (write as an algebraic expression)
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ANSWER
x(12 + 32)
EXPLANATION
Let x be 'the number'.
A number times... means 'a number multiplied by...'
The sum of 12 and 32 is (12 + 32)
The complete algebraic expression is x(12 + 32)
The price of a notebook has risen to $3.35 today. Yesterday's price was $3.10. Find the percentage increase. Round your answer to the nearest tenth of a percent.
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The percent of increasing = amount of increasing/original amount x 100%
Since the price of the notebook on one day is $3.10
Since it is increased to $3.35
Then the amount of increasing = 3.35 - 3.10 = 0.25 dollars
Since the original price is 3.10
By using the rule above
[tex]\text{Percent}=\frac{0.25}{3.10}\times100[/tex]The percent of increasing = 8.064516%
Round it to the nearest tenth
The percent of the increase is 8.1%
Can someone pls help me . Thank you so much .FIRST PROBLEM
Answers
Answer:
Step-by-Step explanation:
We are given the following equation:
Is the prime factor of 85 17x5
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Given data:
The given number is 85.
The given number 85 can be expressed in terms of their prime factors as,
[tex]85=5\times17[/tex]Thus, yes 85 can be expressed in terms of their prime factors as 17x5.
Is the function y= –10x10–10 linear or nonlinear?
Answers
The function y = -10*x¹⁰ - 10
Is not a linear function, as we can see the exponent is 10.
Is the function linear or non-linear?Remember that a linear function is of the form:
y = m*x + b
Where x is the variable.
So a linear function is a polynomial of degree 1.
Particularly, here we have the function:
y = -10*x¹⁰ - 10
So we have an exponent of 10, which means that this is not a linear function.
Learn more about linear functions:
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1. As part of a summer internship, five people -- Cindy, Damaris, Eugenio, Fareed, and Guzal -- are to be assigned to floors 1-5 in a dormitory. Each person will occupy his or her own entire floor and no other people will be in the dormitory. The assignment of people to floors must follow the following rules:Eugenio lives immediately above Damaris.Cindy is not on the first floor.Fareed does not live immediately below Damaris.Guzal lives either on the first floor or the fifth floor.Which one of the five people could be assigned to live on any of the five floors in the dormitory? A. Cindy B. Damaris C. Eugenio D. Fareed E. Guzal2. If Fareed lives neither directly above nor directly below Cindy in the dormitory, which one of the following people must live on the fourth floor? A. Cindy B. Damaris C. Eugenio D. Fareed E. Guzal
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SOLUTION
(1) From the question, if Eugene lives immediately above Damaris, then Eugene can only live between floors 1 to 4.
And Damaris can only live between floors 2 to 5.
Guzal can only live on floors 1 or 5
Siince Cindy cannot live on the first floor, she can only live between floors 2 to 5, Since Fareed does not live immediately below Damaris. Fareed can live between floors 1 to 5.
Hence the answer is Fareed, option D
please help figure out this problem i’m trying to determine if the lines that appear to be tangent are tangent
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Suppose that the two lines that form the missing angle are tangents to the circle. Then, the measure of the missing angle can be found using the following equation:
[tex]\measuredangle ABC=\frac{arc\text{ AEC - arc AGC}}{2}[/tex]Notice that we can complete the information about the arcs of the circle with the central angle:
then, we can find the angle x with the following expression:
[tex]\begin{gathered} \measuredangle x=\frac{243-117}{2}=\frac{126}{2}=63 \\ \Rightarrow\measuredangle x=63\degree \end{gathered}[/tex]therefore, the measure of the missing angle is 63 degrees.
16 1 point
Triangle congruence SSS is being shown?
True
False
|||
+||
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Answer:
True
Step-by-step explanation:
SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.
Hello, can you help me with a Standard deviation question, please?
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To now how many had a score under 66, we have to calculate the following probability
[tex]P(X<66)=P(Z<\frac{66-81}{5})=P(Z<-3)=0.0013[/tex]So the amount of people that had a score under 66 is
[tex]4502\cdot0.0013=5.86\approx6[/tex]So 6 people get a score under 66
write the slope intercept form:through: (2, 5), perp. to y= -5
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If the original line is y = -5, then the perpendicular line would be x = a, where a is the x value of the point where it passes through, then the line is x = 2
Answer:
x = 2
Determine the a coordinates of the critical points/numbers for the function f(x)= x/x^2+5
○ x=0, x= -√5, and x = √5
○ x=0
○ No critical points
○ x = √5
○x= -√5 and x = √5
Answers
The critical points for the given function f(x) are -√5 and √5.
so option d is the correct answer.
What is the critical point?A critical point is the part of the domain of a function where the derivative is either equal to zero or the function is not differentiable.
Differentiate the given function f(x)=x/(x²+5)
f'(x)=((x²+5)-x(2x))/(x²+5)²
Using the Quotient Rule for differentiation.
What is Quotient Rule?A method for finding the derivative or differentiation of a function that is given as a ratio or division of two differentiable functions in calculus is known as the quotient rule.
We get f'(x)=5-x²/(x²+5)²
So the derivative is zero at -√5 and √5 and non differentiable at -√5
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Freiese Um Which of the following is the graph of F(x) = 3x2 ?
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To determine which is the graph of the function we can give some values to x to find point through the graph.
If x=0 then we have:
[tex]\begin{gathered} F(0)=3(0)^2 \\ F(0)=0 \end{gathered}[/tex]This means that the graph passes through the point (0,0).
If x=1 then we have:
[tex]\begin{gathered} F(1)=3(1)^2 \\ F(1)=3(1) \\ F(1)=3 \end{gathered}[/tex]This means that the graph passes through the point (1,3)
If x=-1 then we have:
[tex]\begin{gathered} F(-1)=3(-1)^2 \\ F(-1)=3(1) \\ F(-1)=3 \end{gathered}[/tex]This means that the graph passes through the point (-1,3)
Hence we conclude that the graph has to pass through the points (0,0) (1,3) and (-1,3)
Looking at the graphs given we notice that the third graph fullfils these condition; therefore, the graph of the function is shown in option C
what is 5/8 out of 100
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5/8 of 100 can be obtained by applying the rule of three:
[tex]\begin{gathered} 1\text{ ----- 100} \\ 5/8\text{ ----x} \end{gathered}[/tex]then, x is given by
[tex]\begin{gathered} x=\frac{\frac{5}{8}\cdot100}{1} \\ x=62.5 \end{gathered}[/tex]then, the answer is 62.5.
which of the following statements is correct?A XYZ ~ wvz by AA similarityB XYZ ~ WVZ by SAS similarityC XYZ ~ WVZ by SSS similarityD XYZ and WVZ are not similar
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We have two triangles, XYZ and WVZ.
They shared the vertex Z, formed by the intersection of two lines, XW and VY.
Also, XY and VW are parallel.
Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.
We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.
Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.
Then, if we have 3 pair of congruent angles, we have similar triangles.
We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.
Answer: XYZ ~ WVZ by AA similarity (Option A)
Can you please help me
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From the question,
[tex]\begin{gathered} m\angle AFE=m\angle BFC\text{ (Vertically opposite angles)} \\ \therefore \\ m\angle AFE=70^{\circ} \end{gathered}[/tex]We also have
[tex]m\angle AFB=m\angle EFC\text{ (Vertically opposite angl}es)[/tex]Remember that the sum of angles at a point equals 360°. Therefore
[tex]\begin{gathered} m\angle AFB+m\angle BFC+m\angle CFE+m\angle AFE=360 \\ \therefore we\text{ have} \\ 2(m\angle AFB)+2(70)=360 \\ 2(m\angle AFB)=360-140=220 \\ m\angle AFB=\frac{220}{2}=110 \end{gathered}[/tex]Therefore, m(AB) is 110°.
Hence, OPTION B is correct.
What is the slope of the line that passes through the points (2,8) and (12, 20)? Write your answer in simplest form.
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EXPLANATION
The slope of a line, is given by the next expression:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)
Plugging in the values into the expression:
[tex]Slope=\frac{20-8}{12-2}[/tex]Subtracting numbers:
[tex]Slope=\frac{12}{10}[/tex]Simplifying:
[tex]Slope=\frac{6}{5}[/tex]In conclusion, the solution is 6/5
3 1/2 berry and pinaple pies
times 2 rasberry pies
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3 1/2 x 2 = 7
Round to the nearest thousand to estimate the difference between 7,333 and 4,983
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Rounded to the nearest thousand the given numbers are:
[tex]\begin{gathered} 7,333 \\ 3<5\colon Round\text{ by leaving the digit in thousand position} \\ \\ 7,333\approx7,000 \end{gathered}[/tex][tex]\begin{gathered} 4,983 \\ 9>5\colon\text{ Round increasing the digit in thousand position} \\ \\ 4,983\approx5,000 \end{gathered}[/tex]Estimate the difference between 7,000 and 5,000:
[tex]7,000-5,000=2,000[/tex]Estimated difference: 2,000i neeeeeeeeeeed the aseer :D
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Answer:
Step-by-step explanation:
21
What is the slope is a line that is perpendicular to the graph of y=2x+5Mark only one oval -1/21/22-2
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Step 1
Given;
[tex]y=2x+5[/tex]Required; To find the slope.
Step 2
[tex]\begin{gathered} y=mx+c \\ m_1=slope=2 \\ c=y-intercept \\ y=2x+5 \\ For\text{ perpendicular lines }m_1(m_2)=-1 \\ \end{gathered}[/tex][tex]\begin{gathered} 2(m_2)=-1 \\ m_2=-\frac{1}{2} \end{gathered}[/tex]Answer;
[tex]slope\text{ of the perpendicular line required=}-\frac{1}{2}[/tex]A basket can hold 40 apples. Justin has 22 apples. He plans to buy 7 more. Each apple costs $1.buys the new ones, how many more apples will the basket hold?The basket can hold 15 more apples after Justin buys more.
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Answer
Explanation
The basket can hold a maximum of 40 apples.
Justin currently has 22 apples. He plans to buy
If A and B are two random events with probabilities of P(A) = 4/9, P(B) = 2/9, P(A ∩ B) = 1/9, calculate P(B|A).a.1/4b.3/4c. 1/2d.1
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Answer:
A. 1/4.
Explanation:
Given two random events A and B:
[tex]\begin{gathered} P(B|A)=\frac{P(B\cap A)}{P(A)} \\ P(B\cap A)=P(A\cap B) \end{gathered}[/tex]Substitute the given values:
[tex]P(B|A)=\frac{\frac{1}{9}}{\frac{4}{9}}=\frac{1}{9}\div\frac{4}{9}=\frac{1}{9}\times\frac{9}{4}=\frac{1}{4}[/tex]The value of P(B|A) is 1/4.
Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.(3,-5) , (4,5)
Answers
We will determine th equation in slope-intercept from of the line as follows:
First, we find the slope:
[tex]m=\frac{5-(-5)}{4-(3)}\Rightarrow m=10[/tex]Then:
[tex]y-5=10(x-4)\Rightarrow y-5=10x-40[/tex][tex]\Rightarrow y=10x-35[/tex]So, the equation of the line in slope-intercept form is:
[tex]y=10x-35[/tex]The ages of 12 selected participants in a Students’ Congress are:
16, 24, 23, 20, 12, 27, 19, 25, 21, 23, 14, 13
What is the mean age of the participants?
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The mean age of the 12 participants in a student congress is 19.75.
given 16,24,23,20,12,27,19,25,21,23,14,13
Mean generally means average. The formula of Mean is as follows
MEAN = SUM OF ALL VALUES
TOTAL VALUES IN SET
Add the given numbers 16+24+23+20+21+27+19+25+21+23+14+13 = 237
Divide the total number by the number of participants that is
237/12 = 19.75
The mean age of the participants = 19.75
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Jeremy Sold x tickets for a fundraiser. Kelly sold twice as many tickets as Jeremy Altogether. Jeremy and Kelly sold 192 tickets which equation could be used to determine how many tickets Jeremy sold?
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If x represents Jeremy's sold tickets, then the expression 2x + x represents the part Kelly sold twice as many tickets as Jeremy.
If the sold 192 tickets together, then the expression is 3x = 192.
Hence, the answer is B.how do I find the slope
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you can find the slope taking two points of a graph or function,
identify the rightmost point and apply this equation
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x2,y2) is the rightmost point and (x1,y1) is the other point
If i have two points (3,4) and (6,2)
the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right
so, apply the equation
[tex]\begin{gathered} m=\frac{2-4}{6-3} \\ m=\frac{-2}{3} \\ \end{gathered}[/tex]So, the slope is
[tex]-\frac{2}{3}[/tex]Decompose the fraction 11 /12 towingtwo ways
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Given:-
[tex]\frac{11}{12}[/tex]To find:-
Decompose the fraction in two ways.
Way one,
[tex]\frac{11}{12}=\frac{5}{12}+\frac{6}{12}[/tex]Way two,
[tex]\frac{11}{12}=\frac{10}{24}+\frac{12}{24}[/tex]The scatter plot shows the number of CDs in millions that were sold from 1999 to 2005. Use the points (1999,940) and (2002,805) to find a line of fit for the data. Then use the line of fit to estimate the number of CDs that were sold in 2008
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Based on the given points from the scatter plot on the number of CDs sold in millions, the line of best fit for the data is y = -45x + 90,895
The estimated number of CDs sold in 2008 was 535 CDs.
How to find the line of best fit?The line of best fit will take the form:
y = Slope(x) + y intercept
The value of x will be assumed to be the number of years since 1999.
The slope is:
= Change in y / Change in x
= (805 - 940) / (2002 - 1999)
= -45
The y intercept is:
940 = -45(3) + y
y = 90,895
The line of best fit is:
y = -45x + 90,895
This means that the number of CDs sold in 2008:
= -45(2008) + 90,895
= 535 CDs
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