The length of the line segment is 18 units. option B is the correct answer.
We know that
The distance(D) between two points (x₁ , y₁) and (x₂, y₂) is
D = √( y₂ - y₁)² + (x₂ - x₁)²
From the question, we have
Two endpoints of the line segment are (-10, 9) and (5, -1).
D = √( y₂ - y₁)² + (x₂ - x₁)²
D = √(-1 - 9)² + (5 - (-10))²
D = √100 + 225
D = √325
D = 18 units (approx.)
Addition:
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.
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Answer: 18 units
Step-by-step explanation: I got it right on the quiz
a pair of fair dice are rolled together once and the numbers that come up on the two dice are added. what is the probability that the sum of the numbers on the two dice is 10?
Answer:
The probability is 1/12Step-by-step explanation:
The are 6 possibilities for each dice, so the number of outcomes is:
6*6 = 36Outcomes with the sum of 10:
4+6, 5+5, 6+4 - three favorable outcomesProbability of getting 10 is 3 out of 36:
P(10) = 3/36 = 1/12Measures of center (mean, median) are affected by addition, multiplication, or both?
Answer:
Measures of center generally tell us about the middle , or center of a distribution. They are the mean , the Mexican , and the mode. Each plays a useful role in statistics. The mean or arithmetic average , is calculated by adding all the data values and dividing by the number of values.
How many proper subsets does the set Z, Roman numerals, have? Z={ I, V, X, L, C, D, M, MD }.
The number of proper subsets of Z = 255.
What is a subset ?Subsets are a subset of the mathematical idea known as Sets. A set is a group of items or components that are enclosed in curly braces, such as "a,b,c,d." Set B is said to be a subset of A if set A is a collection of even numbers and set B contains the numbers 2, 4, and 6. B is designated as BA and A is the superset of B.
The number of proper subsets can be calculated by the formula 2 raise ti the power n where n represents the number of elements in the set
Here, n = 8
thus [tex]2^{n} = 2^{8}[/tex]
which is equal to 256
However since one of the subsets of Z is itself it is not a proper subset
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two people X and Y are finishing some job together in 8 hours. First person X would the same job finished 12 hours faster then the person Y.
For how many hours would each person alone finished this job.?
Answer:
4
Step-by-step explanation:
Welcome to Gboard clipboard, any text you copy will be saved here.
complete the table below with the needed data
help please help me because this is due tomorrow
The factors are mentioned in the table given below.
Number Number of factors prime or composite
12 6 composite
20 6 composite
21 4 composite
31 2 prime
43 2 prime
Factors are those numbers which when divide the given number leaves zero as a remainder.
Factor of 12 = 1, 2 ,3, 4, 6 , 12
Factor of 20 = 1, 2 , 4,5,10 , 20
Factor of 21 = 1 ,3, 7, 21
Factor of 31 = 1, 31
Factor of 43 = 1, 43.
Prime number is a number which has only 2 factors that is number one(1) and the number itself.
Composite numbers which has more than 2 factors.
Therefore, the number of factors are mentioned in the table.
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Find the area of the circle in terms of Pi
Area of circle = 1764 pi in² in terms of pi .
What is mensuration ? Measurement is a branch of mathematics that studies the calculation of geometric figures and parameters such as area, length, volume, lateral area, and surface area. She outlines the principles of computation and explains all the important equations and properties of various geometric shapes and numbers. A measurement is a geometry object. Measurements examine the size, area, and density of various shapes in 2D and 3D. Now, as an introduction to measurement, let's look at the differences between 2D and 3D shapes and their differences. A 2D graph is a shape defined by three or more straight lines or closed segments on a plane. Such a shape has neither width nor height. It is called a 2D shape or figure because it has two dimensions, length and width. For 2D shapes, the area (A) and perimeter (P) must be determined. A 3D shape is a structure surrounded by various surfaces or planes. Unlike 2D shapes, these shapes have height and depth. It is called a 3D shape because its length, width and height/depth are three dimensions.Calculationarea of circle = pi r²
= 42 * 42 pi²
= 1764 pi in²
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NEED HELP ASAP plsssssssssssssssssssssssssssss
In a lottery, the top cash prize was $620 million, going to three lucky winners. Players pick four different numbers from 1 to 59 and one number from 1 to 47. A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 59) and matching the number on the gold ball (1 through 47). What is the probability of winning the minimum award?
The probability of winning the minimum award is [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex].
The Player chooses 4 numbers from white balls numbered 1 to 59 and
1 number from gold ball numbered 1 to 47
He has to choose 3 correct numbers out of 4 numbers in the white ball
and 1 number from the gold balls.
He can do in [tex]^4C_3 . ^{53}C_1[/tex] and 1 way respectively.
So, the probability can be given by;
Probability = probability of choosing white ball * probability of choosing red ball
Probability = [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex]
Thus, the probability of winning the minimum award when players pick four different numbers from 1 to 59 and one number from 1 to 47 and a player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 59) and matching the number on the gold ball (1 through 47) is [tex]\frac{^4C_3 . ^{53}C_1}{^{57}C_4} \times \frac{1}{47}[/tex].
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Sara's mother bought 8 large oranges for $12.00. Sara said there was a ratio of 12 to 8, so the unit rate was $1.50 per orange. Sara's friend Daniel said he thought the ratio would be 8:12, so the unit rate would be of an orange per dollar.
Explain how both Sara and Daniel might have found their unit rates and how both could be correct.
The unit rate of orange could be found by Sara and Daniel by ratio to be $1.50
Further explanation on how they could be correctIf Sara's mother bought 8 large oranges for $12.00
Sara may have thought of it like if $12 is for 8 oranges the how much is for 1
12 : 8 then X : 1
12/8 then x/1
12/8 = x/1
x = $1.50
Daniel would have taken this method, if 8 oranges costs $12 then 1 orange would cost ?
8 oranges : $12 then 1 orange : ?
8 : 12 = 1 : ?
8/12 = 1/?
8 * ? = 1 * 12
? = 12/8
? = $1.5
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4(x-b) = x solve for x
[tex]4(x)+4(-b)=x\\4x-4b=x\\4x-x=4b\\3x=4b\\\frac{3x}{3} =\frac{4b}{3} \\x=\frac{4b}{3}[/tex]
⇒They simply wanted you to simplify and make x the subject of the equation.
PLEASE HELP ASAP! I DON'T UNDERSTAND THE QUESTION
2(x-1)^2-4
Use the order of operations to turn the expression back into standard form. Explain your work using complete sentences.
Step-by-step explanation:
among other details this is the main thing about the standard form :
a polynomial in standard form is the sum of one or more terms; each term must be a monomial in standard form. also, the degrees of the terms should be decreasing as much as possible from left to right.
a monomial is the product of one or more factors: a constant coefficient and one factor for each variable in the expression. via exponent (e.g. 0) we control which variable is actually "showing", as any x⁰ = 1 and can therefore be omitted when writing as factor.
in other words :
e.g.
4x³ + 2x² + 5x + 1
2x + 3y + 7xy
are examples of the standard form.
in our case we have only x a variable. but we need to do all the squaring and multiplications and summing up to get the standard form.
that means
2(x - 1)² - 2 = ...
remember the priorities :
1. brackets
2. exponents
3. multiplications and divisions
4. additions and subtractions
2(x - 1)² - 2 = 2(x² - 2x + 1) - 2 =
= 2x² - 4x + 2 - 2 = 2x² - 4x
there are 17 cookies that will be divided equally among 5 goody bags. How many cookies go in each goody bag.
For each goody bag we need 3.4 cookies
What is the unitary method?
The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We are given that there are 17 cookies that will be divided equally among 5 goody bags.
17 cookies = 5 goody bags.
For each goody bag.
Thus,
17/5 = 3.4 cookies.
Therefore, 3.4 cookies needed.
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An engineer is interested in the relationship between
the weight of a car (measured in pounds) and the fuel
economy (measured in miles per gallon of gas). To
investigate the relationship, she collects a simple
random sample of 10 cars and records their weight
and fuel efficiency. She finds the equation of the least-
squares regression line to be y=69-0.0114x, where
y is the fuel efficiency (mpg) and x is the weight (in
pounds). The residual plot is shown.
Based on the residual plot, is the linear model
appropriate?
O No, the residuals are relatively large.
O No, there is a clear pattern in the residual plot
O Yes, there is no clear pattern in the residual plot
Based on the residual plot, the linear model is appropriate as C. Yes, there is no clear pattern in the residual plot.
What is a linear model?A continuous response variable is described as a function of one or more predictor variables in a linear model. They can assist you in comprehending and forecasting the behavior of complex systems, as well as analyzing experimental, financial, and biological data. Linear regression is a statistical technique for developing a linear model.
The residual plot depicts the difference between the observed and fitted response values. The ideal residual plot, also known as the null residual plot, depicts a random scatter of points forming a band.
In this case, no clear pattern was detected.
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Answer:
it seems like the person above me is correct.
Step-by-step explanation:
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. What is the distance between points G and H?
The distance between the points is 17
A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes are defined as coordinates. The x- and y-values are commonly represented by (x,y).
Given that
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid
We have to find the distance between points G and H
The formula for calculating the distance between two points is given by
= √((3-(-5))2 + (7-(-8)2)
= √((3+5)2 + (7+8)2)
= √((8)2 + (15)2)
= √(64 + 225)
= √289
=17
Therefore the distance between the points is 17
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Given the triangle below, what is the value of y?
50°
50%
3y-10
y+20
Answer:
y = 15
Step-by-step explanation:
the triangle has congruent base angles of 50°
This means the triangle is isosceles with the 2 legs being congruent, so
3y - 10 = y + 20 ( subtract y from both sides )
2y - 10 = 20 ( add 10 to both sides )
2y = 30 ( divide both sides by 2 )
y = 15
I need some help on this question. I sent a screenshot on this.
Answer: 1/2
Step-by-step explanation:
I'm assuming this is rise over run. The rise is 1 and the run is 2.
Remember, [tex]\frac{rise}{run}[/tex]
How is the graph of g(x)=(x-3)³ related to the graph of f(x) = x²?
The graph of the function f(x) = x³ and g(x) = (x - 3)³ are related to each other that the function g(x) is shifted right to 3 points.
Function
Basically, function is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Given,
Here we need to find how the graph of g(x)=(x-3)³ related to the graph of f(x) = x³.
Here we have the two equations of the function that are,
f(x) = x³
g(x) = (x - 3)³
By looking at the given functions, we have identified that f(x) be the parent function:
And it can be written as,
=> f(x) = x³
And the first transformation is applied as,
f(x) → f(x) - 3
Now, the function f(x) will shift right side by 3 units
Therefore, the function f(x) = x³ and g(x) = (x - 3)³ are related to each other that the function g(x) is shifted right to 3 points.
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Simplify 16^3/4
Note: I understand the next part is to break it down as (^4√16)^3 but I am confused how you continue from there
The simplified form of the expression; 16^¾ as given in the task content is; 8.
What is the simplified form of the expression given in the task content?It follows from the task content that the simplified form of the expression as given in the task content is to be determined.
Since the given expression is; 16 ^ ¾.
It follows from the rational exponents law of indices that we have;
⁴√16³
where 16³ = 4096
Therefore, we have; ⁴√4096
The result is therefore; ⁴√4096
= 8.
On this note, the simplified form of the expression 16^¾ is; 8.
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Find the equation for the line parallel to the given line and passing through the given point.
3y = -12x + 4; (1,1)
The equation for the line parallel to the given line and passing through the given point is y = -4x + 5.
Given:
3y = -12x + 4 and point (1,1)
3y = -12x+4
divide by 3 on both sides
3y/3 = -12x/3 + 4/3
y = -4x + 4/3.
m = -4.
y = mx + c
substitute m and (1,1)
1 = -4*1 + c
1 = -4 + c
c = 1 + 4
c =5
substitute c and m value in y = mx+c
y = mx + c
y = -4x + 5.
Therefore the equation for the line parallel to the given line and passing through the given point is y = -4x + 5.
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Please help its urgent!
Applying the midsegment theorem:
a. x = 17; y = 2
b. Length of DF is: 20 units.
How to Apply the Midsegment Theorem?According to the midsegment theorem:
Length of GH = half the length of EF
Given the following:
GH = x - 3EF = 28GH = 1/2(EF)
Substitute:
x - 3 = 1/2(28)
x - 3 = 14
x - 3 + 3 = 14 + 3
x = 17
DH = HF
DH = y + 8
HF = x - 7
Therefore:
y + 8 = x - 7
Plug in the value of x
y + 8 = 17 - 7
y + 8 = 10
y = 10 - 8
y = 2
Length of DF = y + 8 + x - 7
Plug in the values of x and y:
Length of DF = 2 + 8 + 17 - 7
Length of DF = 20 units.
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Describe the transformations of the graph y = (x - 3)³-2
r marks in percent. other earns Rs 27,000 and spends Rs 10,800 every month. Express her expenditure in percent. (ii) Calculate her saving
The expenditure of the man in percent is 40% and his savings is Rs16200 .
In the question ,
it is given that ,
amount earned by the man = Rs 27000
amount spend by the man = Rs 10800
So , the expenditure in percent can be calculated using the formula ,
we get ,
= (expenditure)/(total earning) × 100
= 10800/27000 × 100
= 0.4 × 100
= 40%
the savings = earning - expenditure
savings = 27000 - 10800
= 16200
Therefore , The expenditure of the man in percent is 40% and his savings is Rs16200 .
The given question is incomplete , the complete question is
A man earns Rs 27,000 and spends Rs 10,800 every month. Express her expenditure in percent also calculate his savings .
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f(x)=x^4 -3x³ + x² + 2x + 1435
use long division to determine whether x + 7 is a factor of f(x).
x-7 is not a factor of [tex]x^{4}-3x^{3}+x^{2} +2x+1435[/tex].
In long division method, we divide [tex]x^{4}-3x^{3}+x^{2} +2x+1435[/tex] by x-7
x-7 ) [tex]x^{4}-3x^{3}+x^{2} +2x+1435[/tex] ( [tex]x^{3}-10x^{2} +71x-495[/tex]
[tex]x^{4}+7x^{3}[/tex]
-----------------------------
[tex]-10x^{3}+x^{2} +2x+1435[/tex]
[tex]-10x^{3}-70x^{2}[/tex]
--------------------------
[tex]71x^{2} +2x+1435[/tex]
[tex]71x^{2} +497x[/tex]
----------------------------
[tex]-495x+1435[/tex]
[tex]-495x-3465[/tex]
----------------------------
[tex]4900[/tex]
As 4900 is a remainder, x-7 is not a factor.
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Calculate the volume.
30 cm
60 cm
Volume
85 cm
Not to scale.
The volume of the cuboid is 153000 [tex]cm^{3}[/tex];
What is the volume of the cuboid?
In general, the volume of a cuboid is equal to the area that it takes up in space. It is dependent upon the cuboid's three dimensions, or its length, breadth, and height. Due to the fact that all of a cuboid's faces are rectangular, the term "Solid Rectangle" is also referred to as a cuboid. All of the angles and the opposite faces of a cuboid in a rectangular cuboid are at right angles. A cuboid's volume is determined by the product of its length, breadth, and height. Cubic units are used to measure cuboids' volume.
The product of a cuboid's base area and height determines its volume. We can therefore write;
Cuboid volume equals base area times height [in cubic units].
The cuboid's base is shaped like a rectangle. As a result, a cuboid's base area is determined by multiplying its length by its breadth. Hence,
A cuboid's volume is equal to its length, width, and height in cubic units, or
A cuboid's volume is equal to l b h [in cubic units].
l = length, b = width, and h = height.
In the given question, we have;
Length = 30 cm;
Breadth = 60 cm;
Height = 85 cm;
And,
we know that:
The volume of the cuboid = lbh
The volume of the cuboid = 30×60×85 [tex]cm^{3}[/tex]
The volume of the cuboid = 1800 ×85 [tex]cm^{3}[/tex];
The volume of the cuboid = 153000 [tex]cm^{3}[/tex];
Hence,
The volume of the cuboid = 153000 [tex]cm^{3}[/tex];
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Write a function for the line with a slope of 5 that passes through the point (2, 1).
HINT:Substitute the coordinates of the given point and the slope into y=mx+b to find the y-intercept.
HINT:The slope is m in the equation y=mx+b.
Step-by-step explanation:
y = mx+ b
m is the slope = 5
you can get x,y from point (x,y); x=2, y=1
substitute all information we have to find b
1 = 5(2) + b
1 = 10 + b
1 - 10 = b
-9 = b
the function for line:
y = 5x - 9
GPAS at CCCOnline are normally distributed with a mean of 2.05 and a standard deviation of 0.58.
Find the z-score for a GPA of 2.98
The Z-score for a GPA of 2.98 is 1.60345
Calculating Z - score:A Z-score is a numerical value or measurement that explains the relationship between a value of data and the mean of a group of values. It will be calculated in terms of standard deviations from the mean.
The formula to calculate the Z -score is given by
Z - score = [tex]\frac{( \bar{x} -\mu) }{\sigma}[/tex]
Where [tex]\bar {x}[/tex] = test value
μ = mean and σ = standard deviation
Here we have
GPAS at CCCOnline are normally distributed with a mean of 2.05 and a standard deviation of 0.58
⇒ mean μ = 2.05
⇒ Standard deviation σ = 0.58
And we need to find the z-score for a GPA of 2.98
⇒ [tex]\bar {x}[/tex] = 2.98
From above observations
Z - score = [tex]\frac{( 2.98 -2.05) }{0.58}[/tex]
= [tex]\frac{( 0.93) }{0.58}[/tex]
= 1.60345
Therefore,
The Z-score for a GPA of 2.98 is 1.60345
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Towns A and B are 400 miles apart. If a train leaves A in the direction of B at 50 miles per
hour, how long will it take before that train meets another train, going from B to A, at a speed
of 30 miles per hour?
(A) 4 hours
(B) 4 hours
(C) 5 hours
(D) 5 hours
(E) 6 hours
Answer: C or D(they appear the same, the answer is 5 hours)
Step-by-step explanation:
after 5 hours, train a has gone 5*50 miles, or 250 miles
after 5 hours, train b has gone 5*30 miles, or 150 miles
250miles + 150miles = 400 miles
A nonagon has 9 sides. One angle of a regular nonagon measures (3w + 15)°. Determine the value of w. Round to the nearest whole number.
w = 118
w = 72
w = 55
w = 42
If a nonagon has 9 sides. One angle of a regular nonagon measures (3w + 15)°. The value of w is: D. w = 42.
How to find the value of w?Given data:
Nonagon= 9 sides
Angle of a regular nonagon =(3w + 15)°
Value of w =?
Hence let find the value of w
Value of w = 3w + 15°
Value of w = 3(9) + 15°
Value of w = 27 + 15
Value of w = 42
Therefore the correct option is D.
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Answer: the answer is D. W=42
Step-by-step explanation:
Solve the equation −15 + x = −18 for x.
A. -3
B. 3
C. 33
C. -33
Answer:
-3
Step-by-step explanation:
x= -18 + 15 = -3
Need help asap with these 4 quiestions. will give brainliest.
all are linked as pictures, one has the figure and question and another picture for the answers to choose from
Answer:
Question 1: We need to know whether Angles P and N are congruent or not.
Question 2: Cannot be proven congruent
Question 3: AAS Congruence Theorem
Question 4: ASA Congruence Postulate
Step-by-step explanation:
Background info: The information (congruence lines on sides and angles) is read counterclockwise (starting from the very left to right).
Question 1: In order to prove the triangles congruent with the AAS, we need two pairs of congruent angles and one pair of congruent sides. We still need one more pair of congruent angles. Since the triangle is read counterclockwise, the angle to the left of the current congruent angle given needs to be given to us. This is angles P and N.
Question 2: For this answer, the triangles cannot be proven congruent because we are only given three congruent angle pairs. This means that it should be the "AAA" Theorem, however, it doesn's exist due to the fact that the triangles could still be two different sizes despite the fact that the angles are the same. In order to prove this congruent, we would need info on congruent sides.
Question 3: Reading the triangle left to right, we see a congruent angle pair (A), another congruent angle pair (A), and a congruent side pair (S). Putting this together, we get AAS.
Question 4: Reading the triangle left to right, we see an angle pair (A), a side pair (S), and an angle pair (A). Putting this together, we get ASA.
Hope this helps! (No guarantees it's 100% correct)