The coordinates of the mid point of the given points (4,-1) and (3,-2) is found as (x,y) = (3.5, -1.5).
What exactly is the Mid - Point Theorem?The midpoint of a line segment is referred to by the midpoint theorem. It describes the coordinate points of the line segment's midpoint and can be found by averaging the coordinates of a given endpoints.It also states that a line with endpoint coordinates - [x(1), y(1)] and [x(2), y(2)] has its mid - point just at coordinate.In response to the question, we have -
A (4,-1)and B(3,-2) are our two coordinate points.
We must determine the midpoint of the this line AB.
x(m) = [x(1) + x(2)]/2
y(m) = [y(1) + y(2)]/2
A is the first coordinate point (4,-1).
Point B is the second coordinate (3,-2).
Put the given points;
x(m) = [4 + 3)]/2
x(m) = 7/2 = 3.5
Now, for y;
y(m) = [y(1) + y(2)]/2
y(m) = [-1 -2]/2
y(m) = -3/2 = -1.5
Therefore, we get - using the Mid - Point formula (x,y) = (3.5, -1.5).
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are this functions
i don’t know so i asked
Answer:
1 is a function
2 and 3 is not
Step-by-step explanation:
the first one doesn't have anything repeating but 2 and 3 both do
Answer:
1. Yes, it's a function.
2. No, it's not a function.
3. No, it's not a function.
Step-by-step explanation:
A function is a relation in which each element of the domain (input) corresponds with exactly one element of the range (output).
Hope this helps.
With explanation please! ASAP
thirty automobiles were tested for fuel efficiency in miles per gallon. the following frequency distribution was obtained. construct a histogram
For the given data, x1 = (8 + 12)/2 = 10;
Mean = Sum of frequencies*components/Sum of frequencies = 590 / 30 = 19.6667
What is a Histogram?A histogram roughly depicts the distribution of numerical data. Karl Pearson is credited with coining the phrase. To create a histogram, you must first "bin" (or "bucket") the data range, divide it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as discrete intervals that don't overlap. The bins (intervals) must be next to each other and are frequently (but not necessarily) of the same size.
When the bins are the same size, a rectangle is constructed across each bin, with the height being proportional to the frequency—that is, the number of cases in each bin.
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A box of mass 20 kg is being pushed up a slope of 15 m long with a
constant speed of 30 m/s as shown in the figure below. What is the
gravitational potential energy? (g= 9.8m/s²)
The gravitational potential energy is 2940 Joules
What is potential energy?The formula for gravitational potential energy is expressed as;
Gravitational Potential energy = m g h
Where;
m is the massg is the acceleration due to gravityh is the height of the objectSubstitute the values into the formula;
⇒ 20 × 9. 8 × 15
Multiply through
⇒ 2940 Joules
Thus, the gravitational potential energy is 2940 Joules
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A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
A triangular prism is shown with base of triangle labeled 10 cm, sides of the triangles labeled 13 cm, and length of the box equal to 20 cm.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
The height of the base and the perimeter length are respectively; 12 cm and 840 cm
How to find the volume of a Prism?
We are told that;
Volume of Triangular Prism = 1200 m³
Base length = 10 cm
Side length of triangle = 13
Length of box = 20
Now, formula for volume of a triangular prism is;
V = ¹/₄h√(-a⁴ + 2(ab)² + 2(ac)² - b⁴ + 2(bc)² - c⁴)
where;
a is side length of triangle
b is base side length
c is also side length of other triangle
h is length of box
Thus;
Using Pythagoras theorem, we can find the height of the base as;
D = √(13² - 5²)
D = √144
D = 12 cm
B) Formula for perimeter length of triangular prism is;
P = (S1 + S2 + S3)L + BH
P = (13 + 13 + 10)20 + 10(12)
P = 720 + 120
P = 840 cm
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the distribution of iq (intelligence quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15.according to the standard deviation rule, % of people have an iq between 55 and 145. do not round.
According to the standard deviation rule, 99.7% of people have an IQ between 55 and 145.
How to use the Empirical Rule in statistics?The standard deviation rule which is the empirical rule in statistics tells us that for distributions that have the normal shape, approximately 99.7% of the observations will fall within 3 standard deviations of the mean.
Now, In this question the mean is 100, and the standard deviation is 15. Thus, we can say that approximately 99.7% of the observations (IQ scores) fall between 100 − (3 * 15) and 100 + (3 * 15) or between 55 and 145.
Now, approximately 100% − 99.7% = 0.3% of the observations fall outside this interval. Since the normal shape is symmetric, approximately 0.15% of the observations fall above 145.
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Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Va³ 7+1b|
-
When a 2and b = -4, the value of the expression is
Calculate the absolute value: 52
Substitute into :: {a =2 ,b = -4} into Va³ 7+1b| =| [tex]2^{3}[/tex] 7 +1*-4|
Determine the sign for exponential or radical expressions: |[tex]2^{3}[/tex] 7 +1*-4|
Calculate the power: |56-4|
Calculate the sum or difference: |52|
Calculate the absolute value: 52
In mathematics, the absolute value or modulus of a real number {x}x, denoted { |x|}|x|, is the non-negative value of { x}x without regard to its sign. Namely, { |x|=x}{ |x|=x} if x is a positive number, and {|x|=-x}{ |x|=-x} if { x}x is negative (in which case negating { x}x makes { -x}-x positive), and { |0|=0}{ |0|=0}.The absolute value of a number may be thought of as its distance from zero.
For example, an absolute value is also defined for the complex numbers, the ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
2m+4 is the answer
Step-by-step explanation:
What is the standard deviation of a data set whose values are all the same?
(A) -1
(B) -2
(C) 0
(D) 1
Answer:
C
Step-by-step explanation:
all the values will equal the mean
pls help marking brainly 8 × 0 pls help
0 × 3
5 × 1
1 × 9
The equation 8 * 0 is similar to 0 * 3, the correct option is the first.
How to find solution for 8 * 0In mathematics, zero has unique properties, one of the properties is seen in multiplication. The unique property of zero in multiplication is that, zero has the power to return itself to any number that multiplies it, or when zero multiplies the number. The order does not matter.
For instance, as used in the equation 8 multiplying zero will return zero as the solution. Bearing in mind this unique feature zero multiplying any number gives zero too hence 0 * 3 = 0.
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An equilateral triangle with side length 13 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP.
the answer to the given question is 11.3 cm
A triangle having equally length sides is referred to as an equilateral triangle in geometry.The measurements of the three opposite angles are equal because the three sides are congruent.It is also referred to as a triangle that is comparable since each measured angle is 60 degrees. Equilateral triangles have formulas for their area, perimeter, and height just like other triangles do.Equal on all three sides. The sum of the three congruent angles is 60 degrees. It is a three-sided, equilateral polygon.Side = 13 cm
Height of triangle = root3/2 * 13
= 11.25 cm
Therefore, the Height of the triangle is 11.3 cm
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Janelle won 27 tickets at the fair. She traded the tickets for 9 prizes. Each prize was worth the same number of tickets was each prize worth?
Answer:
3
Step-by-step explanation:
27 tickets = 9 prizes
Since they are all equal, it would be 27 divided by 9 = 3
Simplify. 9 + 18 ÷ 3
Are the ratios 1:2 and 8:16 equivalent?
Answer:
Yes, the ratios are equivalent.
Step-by-step explanation:
if the length of a rectangular field is 2 feet less than four times its width, and the perimeter is 106 feet.
The length and width of the rectangle are: 42 feet and 11 feet.
What is a rectangle?Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.
Given:
Perimeter of the rectangular field = 106 feetLength of the field is 2 feet less than 4 times the width.To find: the length and width of the rectangular field.
Finding:
Let the width of the rectangular field be 'x'
Then the length of the field = 4x - 2
Perimeter of rectangle = 2 (width + length)
=> 106 = 2 ( x + 4x -2)
=> 53 = 5x - 2
=> 55 = 5x
=> 11 = x, i.e., the width of the field = 11 feet
The length of the field = 11(4) - 2 = 42 feet.
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how do I solve this?
what is 14/7 into improper fraction
Answer: 2 and 0/7
MATH
Find the lengths of line segment
GJ.
Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).
What do you understand by equidistant points?Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.
Equation of sphere passes through origin is given by
x2 + y2 + z2 + ax + by+ cz =0
Given, it also passes through (1,0,0), (0,2,0),(0,0,3)
1+ a = 0, a = -1
4+2b =0, b=-2
And, 9+3c = 0, c= -3
The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0
Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0
Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.
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7 pens cost 84p, how much
would 11 pens cost?
Answer:
132p
Step-by-step explanation:
if 7 pens cost 84 total then you need to find the cost of each to know how much 11 pens would cost in total
84/7=12
now you know it's 12 each so just multiply 12 by 11 and you know how much for 11 total!
12*11=132p
Answer:
132 is correct
Step-by-step explanation:
84÷7=12
12×11= 132
the sum of two numbers is 80 .One of the numbers is 4 times the other number.Find the two numbers.
Toby found their mean was \bar x=7
x
ˉ
=7x, with, \bar, on top, equals, 7 years. He thinks the standard deviation is
The standard deviation is approximately 1.825
The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. A low standard deviation means that the values tend to be near to the established mean, whereas a large standard deviation shows that the values are distributed throughout a broader range.
The standard deviation of a random variable, sample, statistical population, data set, or probability distribution is equal to the square root of that variable's variance. It is more algebraically straightforward than the average absolute deviation, but being less reliable in actual use.
The standard deviation is calculated by the formula :
[tex]{\displaystyle \sigma={\sqrt {{\frac {1}{N}}\sum _{i=1}^{N}\left(x_{i}-{\mu }\right)^{2}}}}[/tex]
where N= n-1(n=size of sample) , [tex]\mu[/tex]= mean of the data , [tex]x_i[/tex]= each data value.
Now the given data for the question are {6,5,9,8}
mean of the data ([tex]\mu[/tex])=(6+5+9+8)÷4=28÷4=7
Standard deviation:
[tex]{\displaystyle \sigma ={\sqrt{{\frac {(6-7 )^{2}+(5-7 )^{2}+(9-7 )^{2}+(8-7 )^{2}}{N}}}}[/tex]
[tex]{\displaystyle \sigma ={\sqrt{{\frac {(-1 )^{2}+(-2)^{2}+(2)^{2}+(1 )^{2}}{N}}}}\\[/tex]
[tex]{\displaystyle \sigma =\sqrt{\frac{1+4+4+1}{4-1}}\\[/tex]
[tex]{\displaystyle \sigma =\sqrt{\frac{10}{3}}\\[/tex]
[tex]{\displaystyle \sigma =\sqrt{1.333}[/tex]
[tex]{\displaystyle \sigma =1.825[/tex]
The standard deviation is approximately 1.825.
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si tardamos 20 minutos en recorrer una distancia a una velocidad de 40 km/h
1)cuanto tardaremos en recorrer dicha distancia si circulamos a 50 km/h
2) si la velocidad maxima en la zona es de 90 km/h a que porcentaje corresponden los 50 km/h?
porfa necesito el paso a paso :(
ya se q son inversas solo necesito el paso a paso
1) El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.
2) La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.
¿Cómo analizar móviles a rapidez constante?
1) En este problema tenemos el caso de un vehículo que se desplaza a rapidez constante. Aquí tenemos que la rapidez (v), en kilómetros por hora, es inversamente proporcional al tiempo invertido (t), en minutos.
[(40 km /h) / (50 km / h)] = t / 20 min
4 / 5 = t / 20
t = 80 / 5
t = 14 min
El vehículo tardará 14 minutos en recorrer la misma distancia a una rapidez de 50 kilómetros por hora.
2) El porcentaje correspondiente a la rapidez reportada se calcula mediante porcentajes:
r = [(50 km / h) / (90 km / h)] × 100 %
r = 55.556 %
La rapidez registrada equivale al 55.556 % de la velocidad máxima de la zona.
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W/3+8=20 what is W ???
please help fast
Emma has $12.60 worth of nickels and quarters. She has 4 times as many quarters as
nickels. How many quarters does she have?
On solving linear equation 1.05x=12.60, we get that Emma has 48 quarters.
What is linear equation in one variable?Let x be any variable then ax + b = c b is an linear equation in one variable.
where a, b, c are constants then we get solution for x as
x=(b-c)/a
Given as Emma has 4 times as many as quarters as nickels
Let the no of nickels be x
Then as there are 4 times as many as quarters as nickels
then no quarters be = 4x
Value of one nickel = 5 cents= $0.05
Value of one quarter = 25 cents = $0.25
Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)
Total worth of given nickels and quarters = $12.60
Then 0.05x+x = 12.60
This is an linear equation in one variable
1.05x=12.60
x= 12.60/1.05
x=12
Therefore ,Emma has 12 nickels
and 4(12)= 48 quarters
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What’s 8(x + 4) =32? Full answer please
Answer:
x = 0
Step-by-step explanation:
Hello!
Solve for x by isolating the variable.
Solve for x8(x + 4) = 32 Distribute by multiplying 8 to x and 48(x) + 8(4) = 328x + 32 = 32 Subtract 32 from both sides8x = 0 Divide by 8 on both sidesx = 0The value of x should be 0, as any number multiplied by 0 is 0.
find a sequence of rigid motions to take each vertex of triangle ABC onto the corresponding vertex of triangle A’B’C’
Using translation concepts, the sequence of rigid motions to take each vertex of triangle ABC onto the corresponding vertex of triangle A’B’C' are:
Rotation over a vertical line.Shift down and right.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For the motions in this problem, we have that:
There was a rotation over a vertical line, due to the changes in the orientation of A and C.Then, only the position changed, not the orientation, meaning that there was a shift down and right.More can be learned about translations at https://brainly.com/question/4521517
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Solve the equation below for y:
6x – 3y = 36
A. y = 2x − 12
B. y = 12 - 2x
C. y = 1/2x + 6
D. y = 6 - 1/2x
tyy<3
Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
Domain: {x-9 ≤x ≤9}, Range:{x-9 ≤x ≤9}, Intercepts points : (-9, 0), (0, -9), (0, 9), (9, 0) and Symmetry: x-axis and y-axis the correct answer would be option (C).
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
We have been given that the graph is that of a function.
To determine its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin
The domain of the given function would be {x-9 ≤x ≤9}
The range of the given function would be : (y-9 y ≤9)
The intercepts points of the given function would be : (-9, 0), (0, -9), (0, 9), (9, 0)
And the graph is symmetric about the x-axis and y-axis.
Hence, the correct answer would be option (C).
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Write the equation of the given circle.
center at origin, r=3
Answer:
The standard form is: (x−h)2+(y−k)2=r2where (h,k) is the center and r is the radius.Your center is at (0,0) and the radius, r=3(x−0)2+(y−0)2=32
Step-by-step explanation: