Answers
Point D is the centroid of ΔABC, since we know that A.F, BC, and CE are all medians.
What is the Median of a Triangle?A median of a triangle is the line segment that connects the vertex of a triangle to the midpoint of the opposite side. There are usually three medians of a triangle.
What is the Centroid of a Triangle?The point where the three medians of a triangle intersect each other or meet at is referred to as the centroid of the triangle.
The diagram shows a triangle with three medians that meets at point D in the triangle. Therefore, point D is the centroid of the tringle because lines A.F, BC, and CE are all medians of the given triangle.
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Related Questions
DS
6) You and five friends went out to a movie. You all
shared a large tub of popcorn that cost $16.50,
and you ordered individual boxes of candy that
cost $3,72 per person. You and your friends decide
to split the bill evenly. How much did each of you
pay?
Answers
Answer:
You would each pay $6.42
Have a good one!
x-intercepts of -14 and -2; passes through (-16, -8)
Answers
The equation of the parabola in intercept form exists
y = -2/7(x + 14)(x + 2).
What is meant by the equation of the parabola in intercept form?The intercept form exists y = a(x - r)(x - s), where r and s exists the x-intercepts on the graph. The intercept form will tell us if there exists two x-intercepts, one x-intercept, or no x-intercepts.
Let x-intercepts of -14 and -2; passes through (-16, -8)
The equation of the parabola in intercept form y = a(x - r)(x - s)
substitute the values in the above equation, and we get
-8 = a(-16 + 14)(-16 + 2)
simplifying the above equation, we get
-8 = a(-2)(-14)
-8 = 28a
a = -2/7
y =-2/7(x + 14)(x + 2)
Therefore, the equation of the parabola in intercept form exists
y = -2/7(x + 14)(x + 2).
The complete question is:
Write an equation of the parabola in intercept form X-intercepts of -14 and -2; passes through (-16, -8)
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A set of stickers contains 4 hearts for every 6 stars. Which choice contains an equivalent ratio of hearts to stars?
Answers
explanation: both would simplify to 1/2 (its like a fraction)
Determine whether each order pair is a solution of the equation
Answers
Answer:
Given equation is, x+3y=6
To determine whether each order pair is a solution of the equation
(3,1)
we have that, when x=3 we get y=1
Let us check this in the equation.
Put x=3, we get
[tex]3+3y=6[/tex][tex]\begin{gathered} 3y=6-3 \\ 3y=3 \end{gathered}[/tex][tex]y=1[/tex]Hence (3,1) is the solution of the equation.
(6,0)
Put x=6, we get,
[tex]6+3y=6[/tex][tex]y=0[/tex]
Hence (6,0) is the solution of the equation.
(-2,2/3)
Put x=-2, we get,
[tex]-2+3y=6[/tex][tex]3y=6+2[/tex][tex]y=\frac{8}{3}[/tex]Hence (-2,2/3) is not the solution of the equation.
Which of the following is used to identify outliers in a set of data?
1.5(IQR)
1.5(range)
2(mean)
2(median)
Answers
A) 1.5 (IQR) is used to identify outliers in a set of data.
What is the Interquartile range (IQR)?
The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.
The middle 50%, fourth spread, or H-spread are additional names for the IQR.
It is described as the discrepancy between the data's 75th and 25th percentiles.
The interquartile range is the best tool to use to find all of your outliers (IQR).
Knowing the IQR makes it simple to identify outliers because it represents the middle portion of your data.
Find the median (middle value) of the lower half and upper half of the data before calculating the interquartile range (IQR).
Quartile 1 (Q1) and Quartile 3 are these values (Q3).
The IQR represents the variation between Q3 and Q1.
As it is given in the description itself, the interquartile range is the best tool to use to find all of your outliers (IQR).
Therefore, (A) 1.5 (IQR) is used to identify outliers in a set of data.
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The correct question is given below:
Which of the following is used to identify outliers in a set of data?
(A) 1.5(IQR)
(B) 1.5(range)
(C) 2(mean)
(D) 2(median)
P.s hopes this helps
How can you show two figures are congruent?
O Use the Third Angles Theorem.
O Use rigid transformations.
O Confirm they have the same symmetries.
Answers
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
What in mathematics is the congruent?
It is claimed that two figures are "congruent" if they can be positioned exactly over one another. Both the shape and size of the bread slices are same if you lay one slice on top of the other. Congruent refers to having precisely the same form and size.Use the Third Angles Theorem for two figures are congruent.
When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.
If at least two sides and one angle of two triangles are similar, then the triangles are congruent.
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Calculate If 2x=8 find 5x+1
Answers
ANSWER
x = 4; 5x + 1 = 21
EXPLANATION
First, we have to find the value of x using the given equation,
[tex]2x=8[/tex]To do so, divide both sides by 2,
[tex]\begin{gathered} \frac{2x}{2}=\frac{8}{2} \\ \\ x=4 \end{gathered}[/tex]Now, with x = 4, replace it into the expression given to find its value,
[tex]5x+1=5\cdot4+1=20+1=21[/tex]Hence, the value of the expression is 21.
As a Nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patients doctor indicated that you should mix 130 milligrams of Medication A with 117 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?
Answers
60 milligrams of medication A should be used this week
Explanation:Given:
Last week, 130 milligrams of Medication A was mixed with 117 milligrams of Medication B
This week, 54 milligrams of medication B was used
To find:
the milligrams for medication A used this week
To determine the milligrams of medication A used, we will apply the ratio of medication A to B
Last week:
A : B = 130 : 117
This week:
A : B = A : 54
[tex]\begin{gathered} eqating\text{ both ratios:} \\ A:B\text{ = A : }B \\ 130:\text{ 117 = A :}54 \\ \\ \frac{130}{117}=\text{ }\frac{A}{54} \\ cross\text{ multiply:} \\ 130(54)\text{ = 117\lparen A\rparen} \end{gathered}[/tex][tex]\begin{gathered} A=\text{ }\frac{130\times54}{117} \\ A=\text{ 60} \end{gathered}[/tex]Hence, 60 milligrams of medication A should be used this week
how many ways can a president, a vice-president and a secretary be chosen from 12 members of a club assuming that one person cannot hold more than one position?
Answers
Answer: 1320 ways.
Step-by-step explanation:
For this problem you should use the formula for variations in combinatorics. You use this when choosing a few objects from a group in which the order of the objects is of importance:
[tex]P^{12} _{3}=\frac{12!}{(12-3)!}=\frac{12 \cdot 11\cdot 10\cdot ...\cdot 1}{9 \cdot 8 \cdot ... \cdot 1} = 12 \cdot 11 \cdot 10 = 1320[/tex]
where ! stands for factorial.
What are we missing in the triangle in the picture?
Answers
Looking at the triangle, we missing a side. This side represents the leg.
Now, we can find this missing side using the Pythagorean Theorem because the half represents a right triangle.
- The hypotenuse is the largest side, then hypotenuse = 5ft.
Using
Write the numbers from greatest to least -2.1, -1 5/6, -1 2/3, -2.2
In form of a/b
Answers
The numbers from greatest to least is - 1 2/3, -1 5/6, -2.1 and -2.2.
How to calculate the values?Based on the information, we want to arrange the numbers from the greatest to the least.
In this case, it will be illustrated thus:
-2.1
-1 5/6 = -1.83
-1 2/3 = -1.67
-2.2
This will be arranged as - 1 2/3, -1 5/6, -2.1 and -2.2. In this case, it can be deduced that - 1 2/3 is the greatest and the least number is -2.2. This shows the concept of descending numbers.
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solve by graphing 6X + 3y equals 12 x + 4y equals 24
Answers
The system of equations is:
[tex]\begin{gathered} 6x+3y=12 \\ 8x+4y=24 \end{gathered}[/tex]To solve the system of equations by graphing, we need to make a graph of each equation. For that, we solve for y in both equations:
[tex]\begin{gathered} \text{Solving the first equation for y:} \\ 6x+3y=12 \\ 3x=-6x+12 \\ y=-2x+4 \\ \text{Solving the second equation for y:} \\ 8x+4y=24 \\ 4y=-8x+24 \\ y=-2x+6 \end{gathered}[/tex]We have two equations to graph:
[tex]\begin{gathered} y=-2x+4 \\ y=-2x+6 \end{gathered}[/tex]Comparing with the slope-intercept equation:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
We can see that the slope of the two equations is m=-2, this means that the lines will have the same rate of change of -2 in y for every 1 in x. And one graph will cross the y-axis at 4 and the other at +6.
The graph of the two equations is shown in the following image:
Where the green line is the first equation, and the red line is the second equation.
There is no solution to this system of equations because the lines do not intersect each other.
Can you help me pls this was very hard for me
Answers
Given:
The equation is,
[tex]\frac{24x^2+25x-47}{ax-2}=-8x-3-\frac{53}{ax-2}[/tex]Explanation:
Simplify the right hand side of equation.
[tex]\begin{gathered} -8x-3-\frac{53}{ax-2}=\frac{(-8x-3)(ax-2)-53}{ax-2} \\ =\frac{-8ax^2-3ax+16x+6-53}{ax-2} \\ =\frac{-8ax^2+(-3a+16)x-47}{ax-2} \end{gathered}[/tex]From left side and right side of equationn it can be observed that,
[tex]-8ax^2=24x^2\text{ and (-3a+16)x=}25x[/tex]Simplify the equation for a.
[tex]\begin{gathered} -8a=24 \\ a=\frac{24}{-8} \\ =-3 \end{gathered}[/tex]OR,
[tex]\begin{gathered} -3a+16=25 \\ -3a=25-16 \\ a=\frac{9}{-3} \\ =-3 \end{gathered}[/tex]So value of a is -3.
Option B is correct.
Determine if the equation is linear. If so graph the function (x+y=1)
Answers
Answer:
The equation is linear
Step-by-step explanation:
Make the equation in y=mx+b form
which is y=-x+1 and because the x is not the first power it must be linear
Graph:
A wedding planner placed two orders with a flower shop. The first order was for 13 bunches of roses and 4 palms, totaling $487. The second was for 6 bunches of roses and 2 palms, totaling $232. The receipts do not list the item per price. What is the cost of one bunch of roses and one palm?
Answers
Let's call X the cost of one bunch of roses and Y the cost of one palm.
Then, the first order was for 13 bunches of roses and 4 palms, totaling $487, so:
13X + 4Y = 487
Additionally, the second order was for 6 bunches of roses and 2 palms, totaling $232, so:
6X + 2Y = 232
Then, solving for Y on the first equation, we get:
[tex]\begin{gathered} 13X+4Y=487 \\ 4Y=487-13X \\ Y=\frac{487-13X}{4} \\ Y=\frac{487}{4}-\frac{13}{4}X \\ Y=121.75-3.25X \end{gathered}[/tex]Replacing on the second and solving for X, we get:
[tex]\begin{gathered} 6X+2Y=232 \\ 6X+2(121.75-3.25X)=232 \\ 6X+2\cdot121.75-2\cdot3.25X=232 \\ 6X+243.5-6.5X=232 \\ -0.5X+243.5=232 \\ -0.5X=232-243.5 \\ -0.5X=-11.5 \\ X=\frac{-11.5}{-0.5} \\ X=23 \end{gathered}[/tex]Then, we can replace the value of X and calculated the value of Y as:
[tex]\begin{gathered} Y=121.75-3.25X \\ Y=121.75-3.25\cdot23 \\ Y=121.75-74.75 \\ Y=47 \end{gathered}[/tex]Answer: The cost of one bunch of roses is $23 and the cost of one palm is $47
Any body know the answer to this question?
Answers
The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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The curves are intersecting at (1, 1) and (-10, -4)
Nonlinear functions are the functions where the equations are not linear or the highest degree is more than 1. The following are some examples where the functions are not linear or non-linear. Ex. [tex]x^{2}[/tex] + 4x -1
In the above question, a graphical representation of non-linear system of equations is given
We need to find the solution of this non-linear system of equations based on the graphical representation
We can find the solutions from the graph, wherever the curves are intersecting, that intersection point is known as the solution of the non-linear system of equations
We can clearly see that, the curves are intersecting at
(1, 1) and (-10, -4)
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Tom surveyed 150 students at his school to find out each student's favorite color. His results are shown in the circle graph above. Candace asked 15 of her friends from the same school to choose their favorite color, and 5 people chose yellow. According to Tom's survey, how many of Candace's friends would have been expected to choose yellow?
Answers
We have that in Tom's survey he obtained that 20% of the students like the yellow color (see graph above).
Then, in Candance's (small) survey, she asked 15 friends. According to Tom's survey, Candance should have obtained that 20% of her friends like the yellow color.
Therefore, we need to find 20% of 15 (friends) to find the expected number of friends that Candance should have had using the results of Tom's survey. Then, we have:
[tex]\frac{20}{100}\cdot15=\frac{300}{100}=3[/tex]Hence, according to Tom's survey, Candance's friends would have been expected to be 3 to choose (of her 15 friends) yellow (3 is 20% of 15).
what are the roots of the equation ?-3x = -10x^2-4
Answers
Given the following Quadratic equation:
[tex]-3x=-10x^2-4[/tex]You can use the Quadratic formula to solve it:
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]In this case, you need to add "3x" to both sides of the equation:
[tex]\begin{gathered} -3x+(3x)=-10x^2-4+(3x) \\ 0=-10x^2+3x-4 \end{gathered}[/tex]You can identify that:
[tex]\begin{gathered} a=-10 \\ b=3 \\ c=-4 \end{gathered}[/tex]Substituting values into the formula and evaluating, you get:
[tex]\begin{gathered} x=\frac{-3\pm\sqrt[]{3^2^{}-4(-10)(-4)}}{2(-10)} \\ \\ x_1=\frac{3}{20}-\frac{i}{20}\sqrt[]{151} \\ \\ x_2=\frac{3}{20}+\frac{i}{20}\sqrt[]{151} \end{gathered}[/tex]Answer
Complex roots:
[tex]\begin{gathered} x_1=\frac{3}{20}-\frac{i}{20}\sqrt[]{151} \\ \\ x_2=\frac{3}{20}+\frac{i}{20}\sqrt[]{151} \end{gathered}[/tex]Helpppppp x = – 3
y = – 1
Answers
The graphs of the equations are in the attached graph
'
How to plot the equations on the graph?Equation (2)
From the question, the equation is given as
x = -3
In the above equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3
See attachment for the graph
Equation (3)
Here, we have
y = -1
Also in this equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1
See attachment for the graph
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What is the equation of the line that passes through the point (-6,-3) and has a slope of 0?
Answers
Step-by-step explanation:
The equation for point-slope form of the equation is:
y - y1 = m(x-x1)
where m is the slope of the line and (x1,y1) is a point on the line.
you fill in the values for m(0), x1(-6), and y1(-3)
y+3=0(x-3) [This is the point-slope form of the equation of this line.]
y+3=0+0
y=0-3
often, y=0-3 will change to y=-3 (this will be the slope-intercept form)
PLEASE HELP ME ILL RATE YOU 5 STARS AND GIVE U BRAINLY
Answers
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
Given,
A set of numbers;
3√2, √3 - 1, √19 + 1, 6, 2√10 ÷ 5, √14
We have to arrange this numbers from least to greatest. That is, in ascending order.
Ascending order;
Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.
Here,
First we have to find the values of the square roots in the numbers.
3√2 = 4.24
√3 - 1 = 0.73
√19 + 1 = 5.36
6
2√10 ÷ 5 = 1.26
√14 = 3.74
Then,
6 is the greatest number and √3 - 1 is the least number.
That is,
The ascending order of the set of numbers is √3 - 1, 2√10 ÷ 5, √14, 3√2, √19 + 1, 6
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What angle does a 3.8 m ladder make with the ground if it reaches 2.1 m up the wall? How far is the foot of the ladder from the wall? (Give your answers to the nearest degree and the 1 decimal place of the metre.)
Answers
Answer:
here is the answer hop it helps mark me the brainliest
What are the lengths of the major and minor axes of the ellipse?
(x−3)212+(y+4)224=1
Drag a value to the boxes to correctly complete the table.
Answers
The lengths of the major and minor axis of the ellipse, [tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex] are;
Length of major axis; 4•√6Length of minor axis; 4•√3What is an ellipse in coordinate geometry?An ellipse describes the locus of a point on a curve, such that the sum of the distance from two focal points from the points on the curve is a constant.
The given given function of the ellipse can be presented as follows;
[tex] \displaystyle{ \frac{ {(x - 3)}^{2} }{12} +\frac{ {(y + 4)}^{2} }{24} = 1}[/tex]
The above equation can be compared to the standard equation of an ellipse as follows;
[tex] \displaystyle{ \frac{ {(x - h)}^{2} }{ {b}^{2} } +\frac{ {(y - k)}^{2} }{ {a}^{2} } = 1}[/tex]
Where;
(h, k) = The coordinates of the center of the ellipse
a = The length of the semi major axis
b = The length of the semi minor axis
By comparison, we have;
(h, k) = (3, -4)
a = √(24) = 2•√6
b = √(12) = 2•√3
The length of the major axis = 2•a
The length of the minor axis = 2•b
The length of the major axis is therefore;
2•a = 2 × 2•√6 = 4•√6
The length of the minor axis is therefore;
2•b = 2 × 2•√3 = 4•√3
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How many terms are in this expression?
7a+ 1 + 8b
Answers
Answer:
3
Step-by-step explanation:
There are 3 terms. The terms are separated by + signs. They can also be separated by - signs.
The terms are 7a, 1, 8b.
If there was a minus sign in front of the term you need to keep it with the term because it is a negative term.
Answer:
There are a total of 3 terms
Step-by-step explanation:
A term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a + or - sign in an overall expression. We are basically counting how many individual mathematical expressions
7a is a term
1 is a term, and it's a constant
8b is a term
Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12)?
Answers
sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) is equivalent to sin(-pi/2)
Define Trigonometric functions
A right-angled triangle's angle can be related to side length ratios using real-world trigonometric functions.
We know the formula of sin(A - B) = sinAcosB - cosAsinB
And the given expression is
sin (π/12)cos(7π/12) -cos(π/12)sin(7π/12)
Which is in the form of given formula of sin(A - B)
where, A = π/12 and B = 7π/12
put A and B values in sin(A - B),
sin(π/12 - 7π/12) = sin (π/12)cos(7π/12) -cos(π/12)sin(7π/12)
sin(-6π/12) = sin (π/12)cos(7π/12) -cos(π/12)sin(7π/12)
sin(-π/2) = sin (π/12)cos(7π/12) -cos(π/12)sin(7π/12)
Hence, sin (π/12)cos(7π/12) -cos(π/12)sin(7π/12) is equivalent to sin(-π/2).
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A group of people were asked if they owned a dog. 191 responded "yes", and 485 responded "no".Find the probability that if a person is chosen at random, they own a dog. 191485 294191 191676
Answers
Given:
There are given that the number of people who said yes is 191 and who said no is 485.
Explanation:
According to the given question:
The total number of people is:
[tex]191+485=676[/tex]That means the total outcome is 676.
Now,
The probability that the person is chosen own dog is:
[tex]P=\frac{The\text{ number of people who have their own dog}}{\text{Total number of outcomes}}[/tex]So,
[tex]P=\frac{191}{\text{6}76}[/tex]Final answer:
Hence, the correct option is C.
Answer:
191/676.
Step-by-step explanation:
The total number of people asked is 191 + 485
= 676.
So. the required probability
= number of people owning a dog/ total number of people
= 191/676.
find the area of this question.
30pts.
Answers
Answer:
A=40, formula for area of a rectangle is a=L×W
Step-by-step explanation:
A=L×W = 10×4
exercise 2.31. suppose a family has 2 children of different ages. we assume that all combinations of boys and girls are equally likely. (a) formulate precisely the sample space and probability measure that describes the genders of the two children in the order in which they are born. (b) suppose we learn that there is a girl in the family. (precisely: we learn that there is at least one girl.) what is the probability that the other child is a boy? (c) suppose we see the parents with a girl, and the parents tell us that this is their youngest child. what is the probability that the older child we have not yet seen is a boy?
Answers
A. P(BB) = P( GG) ,P(BG), P(GB) .1/4 the sample space and probability measure that describes the genders of the two children in the order in which they are born.
B. = 1/2 is the probability that the other child is a boy.
C. 1/2 is the probability that the older child we have not yet seen is a boy.
A. sample space s. {BB,GG,BG,GB}
P(BB) = P( GG) ,P(BG), P(GB) .1/4
B. P(other child is boy / at least one girl
therefore P(A/B) = P(A∩B)/P(B) ( Additional probe)
P(B) = P (at least one girl)
= P (GG)+P(BG)+P(GB)
= 1/4+1/4+1/4
= 3/4
P (A∩B) = P (One boy and one girl)
= P (BG)+P(GB)
= 1/4+ 1/4
= 1/2
Therefore, P(A/B) = [tex]\frac{\frac{1}{2} }{\frac{3}{4} }[/tex] = 2/3
C. P (older child is a boy/ younger child is a girl)
P [tex]\frac{older child\ is a\ boy}{youngerchild is a girl}[/tex]
P(BG)/P (BG)+ P (GG) = 1/4/1/4+1/4 = 1/2
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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What is the average rate of change?
Answers
Answer:
1/12
Step-by-step explanation:
See attached worksheet.
n Bill's physics class, he had to solve the equation 6 = 12kx2 for k. Each step of his work is shown below.
Answers
The unknown value from the given linear expression is 1/4
Solving linear equationsAx+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.
When an equation is given in this format, finding both intercepts is rather simple (x and y).
Given the equation below;
6 = 12k * 2
6 = 24k
Divide both sides by 24
24k = 6
k = 6/24
k = 1/4
Hence the value of k from the given expression is 1/4
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