- CLASSROOM Mrs. Fields teaches high school geometry. Her classroom tools
include a compass, straightedge, pencil, and protractor. Does Mrs. Fields likely
teach analytic geometry or synthetic geometry? Explain your reasoning
Mrs. Fields teaches synthetic geometry.
What is synthetic geometry?
The study of geometry without the use of coordinates or equations is known as synthetic geometry, sometimes known as axiomatic geometry or even pure geometry. To make inferences and find solutions, it uses the axiomatic approach and the instruments that are immediately associated to it, namely the compass and straightedge.
Mrs. Fields uses a compass, straightedge, pencil and protractor to teach geometry. And all these are used to either draw or measure and no formulas are needed anywhere, so it is synthetic geometry.
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Using Function Notation
The mapping diagram shows a functional relationship.
Domain
Range
82
I WINDO
11
4
43
12
Complete the statements.
f(4) is
f(x) = 4 when x is
The completed statement is
i) f(4) is 1/2
ii) f(x) = 4 when x is 8
A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function.
The range of a function is the set of all its outputs.
According to the question the ordered pairs are given as
R = { (8,4) , (-2/3,3) , (11,-1) , (4,1/2)}
Here the domain are : ( 8,-2/3,11,4)
and range are : (4,3,-1,1/2)
Hence the values are :
i) f(4) = 1/2
ii) f(x) = 4 when x = 8
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Draw a line segment with endpoints M and R. Now draw a parallel line segment that is the same length as MR¯¯¯¯¯¯¯¯¯ with the endpoints M′ and R′ in the same order.
Which answer correctly describes the transformation from MR¯¯¯¯¯¯¯¯¯ to M′R′¯¯¯¯¯¯¯¯¯¯¯¯?
The required transformation would be in the variable because the slope of parallel lines is always the same.
A line can be defined by the shortest distance between two points is called as a line.
Here,
Line MR is drawn with the endpoints M and R, and another line M'R' is drawn which is parallel to line MR. There is a property of parallel lines that the slope of the parallel lines is always equal. , So the slope of lines are equal there must be a change in variable x and y which describes the translation of the line M'R'.
Thus, the required transformation would be in the variable because the slope of parallel lines is always the same.
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Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Please give me the answers for a-d
The value of different f(x) for different value of 'x' in the given graph is f(-3) = -1 , f(-2)=0. f(-5)= 3, f(-4) =0
Given that, The f(x) graph we can observe that it is a shifted parabola.
How to translate a parabola?We can translate the parabola vertically to produce a new parabola that is similar to the basic parabola. The function [tex]y=x^2 + b[/tex] has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards.
Similarly, we can translate the parabola horizontally. The function[tex]y =(x-a)^2[/tex]has a graph which looks like the standard parabola with the vertex shifted a units along the x-axis. The vertex is then located at (a,0). Notice that, if a is positive, we shift to the right and, if a is negative, we shift to the left.
So, for the given question
b = parabola shift unit along y-axis = -1 units
a = parabola shift unit along x-axis = -3 units
So, equation of parabola = [tex]f(x)=y = (x+3)^2-1[/tex]
Now,
for x = -3. f(-3)=[tex](-3+3)^2-1=-1[/tex]
So, f(-3)= -1
x = -2. f(-2)=[tex](-2+3)^2-1=0[/tex]
So, f(-2)= 0
x = -5. f(-5)=[tex](-5+3)^2-1 = 3[/tex]
So, f(-5)= 3
x = -4. f(-4)=[tex](-4+3)^2-1=0[/tex]
So, f(-4)= 0
Therefore, from the graph f(x), value of f(x) for diiferent value of x is f(-3)=-1. f(-2)=0.f(-5)=3.f(-4)=0.
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Which of the following options would represent the solution to the linear inequation:15−2(2x−1)<15?
The solution to the linear inequation is x>1/2 .
InequalityIt is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
15−2(2x−1)<15
15-4x+2 < 15
-4x < -2
4x > 2
x > 2/4
x> 1/2
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What is the length of HN?
Enter your answer in the box.
Answer:
AH
Step-by-step explanation:
the two lines that are vertical on both lines show that they are both congruent (the same length)
Find the percentage of students that scored higher than 75. 5. Round your answer to the nearest percent
Answer:
source please?
Step-by-step explanation:
Without a source I cannot
Please please please help ASAP!!!!!
Answer:
19.00, 0.95, 19.95
28.00, 1.40, 29.40
45.00, 2.25, 47.25
Step-by-step explanation:
19.00 × 0.05 = 0.95
1.40 ÷ 0.05 = 28
47.25 ÷ 1.05 = 45
45 × 0.05 = 2.25
Answer/Step-by-step explanation:
Ticket Price ($) | Service Fee ($) | Total Cost with Service Fee ($) |
19.00 | 0.95 | 19.95 |
| | |
----------------------------------------------------------------------------------------------
28.00 | 1.40 | 29.40 |
| | |
-----------------------------------------------------------------------------------------------
45.00 | 2.25 | 47.25 |
| | |
------------------------------------------------------------------------------------------------
I hope this helps!
Find the geometric mean between pair of numbers.
12 and 9
The geometric mean between pair of numbers 12 and 9 is 10.39
We know that for a sequence of numbers x1, x2,.., xn
The formula of geometric mean is,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have been given two numbers 12 and 9
We need to find the geometric mean between pair of numbers, 12 and 9.
Using the formula for the geometric mean,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have two numbers.
So, the value of n is 2.
[tex]\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39[/tex]
Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39
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Simplify the expression.
0.4(k - 0.1) + 0.5(3.3 - k)
The simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.
According to the question.
We have an expression.
0.4(k - 0.1) + 0.5(3.3 - k)
As we know that, simplification of an expression means to write an equivalent expression which contains no similar terms.
Therefore, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is given by
0.4(k - 0.1) + 0.5(3.3 - k)
= 0.4k - 0.04 + 1.65 - 0.5k
= 1.61 - 0.1k
Hence, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.
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Match the desired compound events with their corresponding probabilities
Flip a coin 3 times and get heads
every time.
Flip a coin to get tails up and roll a
number cube to get an even number.
Roll a number cube and get a
4 and 5
Draw an ace and then a 7 from a
deck of cards with replacement
27
0000
1/36
1/169
1/8
1/4
The matching of the probability will be:
Flip a coin 3 times and get heads every time. = 1/8.
Flip a coin to get tails up and roll a number cube to get an even number. - 1/4
Roll a number cube and get a 4 and 5 - 1/36
Draw an ace and then a 7 from a deck of cards with replacement - 1/169.
How to calculate the probability?Flip a coin 3 times and get heads every time will be:
= (1/2)³
= 1/8.
Flip a coin to get tails up and roll a number cube to get an even number will be:
= 1/2 × 3/6
= 3/12
= 1/4
Roll a number cube and get a 4 and 5 will be:
= 1/6 × 1/6
= 1/36
Draw an ace and then a 7 from a deck of cards with replacement is 1/169.
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What is 18 divided by (6+3)
What is 800 times 10 to the second power?
Answer:
800 times 10 is =800×10
800×10×10
800×100
=80,000
I think this is the answer so try it sorry for the last results
If the labor force of 165 million people is growing by 1.2 percent this year, how many new jobs have to be created each month to keep unemployment from increasing?
0.165 million jobs must be created monthly to keep unemployment from increasing.
What is the labor force?The combined employed and unemployed population makes up the labor force. The labor force as a percentage of the civilian noninstitutional population is the labor force participation rate.The number of employed persons plus the number of jobless people seeking work is known as the labor force. 1 The unemployed who are not looking for work are not included in the labor pool. For instance, stay-at-home mothers, retirees, and students are not employed.An economy's labor force is calculated as the sum of employed and jobless citizens. As a result, the labor force can be calculated using the formula: labor force = employed population + unemployed population.All employees are included in the labor force, including persons looking for work who are unemployed and the companies who pay their workers. A job seeker would not be regarded as an employee even if she were included in the labor force.How many new jobs have to be created each month to keep unemployment from increasing?
The population of the labor force = is 165 million
Percentage increase of labor force in a year = 1.2 % of 165 million
Percentage increase in the labor force in a month 1.2 %/12=0.1 %= of 155 million
Jobs required to be created each month = population increase each month
165 million *0.1/100=0.165 million
0.165 million jobs must be created monthly to keep unemployment from increasing.
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Mo runs at a constant speed of 6 miles per hour.
Decide whether each statement is true or false.
a) In 25 minutes, Mo runs 1.5 miles.
b) In half an hour, Mo runs 3 miles.
c) In 45 minutes, Mo runs 2.7 miles.
d) In 1.25 hours, Mo runs 7.5 miles.
e) In 20 minutes, Mo runs 2 miles.
f) In 70 minutes, Mo runs 7 miles.
Discuss your reasoning with a partner.
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
Hope this helped
and what the other person said
Brainlest please
Suppose your teacher accidentally gives you a multiple-choice calculus test, instead of an Algebra 2 test. There are 40 true-false questions, and you and your classmates answer the questions randomly. The probability of getting an answer correct is 1/2 . You can use 1/2 as the population proportion.
Develop a simulation for answering the 40 questions. Record your results.
Answer:
Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.
Determine whether \triangle X Y Z is an acute, right, or obtuse triangle for the given vertices. Explain.
X(-7,-3), Y(-2,-5), Z(-4,-1)
The triangle having vertices X(-7,-3), Y(-2,-5), Z(-4,-1) is obtuse.
According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:
acute if [tex]a^{2} + b^{2} < c^{2}[/tex]
obtuse if [tex]a^{2} + b^{2} > c^{2}[/tex]
right if [tex]a^{2} + b^{2} = c^{2}[/tex]
XY = [tex]\sqrt{(-2 + 7)^{2} + (-5 + 3)^{2} }[/tex]
∴ XY = 5.38
YZ = [tex]\sqrt{(-4 + 2)^{2} + (-1 + 5)^{2} }[/tex]
∴YZ = 4.47
ZX = [tex]\sqrt{(-4 + 7)^{2} + (-1 + 3)^{2} }[/tex]
∴ ZX = 3.60
∴The longest side is XY = 5.38.
Hence, a = YZ, b = ZX and c = XY;
Consider [tex]a^{2} + b^{2}[/tex] :
= [tex]4.47^{2} + 3.60^{2}[/tex]
= 32.94.
Now consider [tex]c^{2}[/tex]:
= [tex]5.38^{2}[/tex]
= 28.94.
Thus, [tex]a^{2} + b^{2} > c^{2}[/tex]
Hence, the triangle is obtuse.
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Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(1/2 n+2n−3)+4n
Answer:
the answer would be n/4 + 9/2
Step-by-step explanation:
-
100 POINTS PLEASE HELP WILL GIVE BRAINLIEST
What is the Perimeter of the floor ( simplify your answer)?
Answer:
P = 2x + 14
Step-by-step explanation:
The perimeter of a shape is the total measurement of all the edges of a shape.
P = 12 + (x - 12) + 1 + [(x-5) - (x-12)] + [12 - 1] + (x-5)
P = 12 + x - 12 + 1 + [ x - 5 - x + 12] + 11 + x - 5
P = x + x + 12 - 12 + 1 + 7 + 11 - 5
P = 2x + 14
Would anybody be able to help me out with this one question please?
15 points up for grabs!
:))
Answer: The answer is 78,125
Step-by-step explanation: The answer is 78,125 because when the 5^8 equals 390,625 and then divide 5 and you get 78,125. hope this helps :)
Answer:
5e8 /5=78125
Step-by-step explanation:
5e8=5*5*5*5*5*5*5*5= 390 625
390 625/5=78125
Hope you'll understand
(:
simplify the expression 1/4x +3/4×
Answer:
x
Step-by-step explanation:
When you add them, you get 4/4x which is also known as 1x.
What is the length of the hypotenuse?
5 cm 3cm
A 4 cm
C 34 cm
3 cm
B 2√2 cm
D
√34 cm
3rtm
b. How many triangles are needed to compose a region that is 1/ square meters?
3
om Unit 1, Lesson 2.)
18 triangles area unit required to compose a vicinity that's one square meters.
Triangle is also a closed two-dimensional kind. it is a triangular two-dimensional figure. All sides unit of measurement product of straight lines. the aim where a pair of straight lines be a region of is that the vertex. Hence, the Triangle has three vertices. each vertex forms associate degree angle.A square with a locality of one square metre is rotten into nine identical little squares. every little sq. is rotten into 2 identical triangles.
1 square metre is rotten into nine identical little squares.
So there area unit nine little squares in one square metre.Each little sq. is rotten into 2 identical triangles therefore nine little squares is rotten into 9(2) = eighteen identical triangles
Hence, one square metre is rotten into eighteen identical triangles.
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Find x and the measure of each side.
Δ M N P is isosceles with MN ≅ NP. MN is two less than five times x, N P is seven more than two times x , and P M is two more than three times x .
The value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
We know that, in an isosceles triangle, any two sides of the triangle are equal and the angle opposite to these sides are equal in measure.
In this question, we have been given an isosceles ΔMNP with MN ≅ NP .
Also we have been given some statements about the sides of isosceles ΔMNP.
MN is two less than five times x.
We write above statement as mathematical expression.
MN = 5x - 2
NP is seven more than two times x.
We write above statement as mathematical expression.
NP = 7 + 2x
And PM is two more than three times x.
We write above statement as mathematical expression.
PM = 2 + 3x
As MN = NP
⇒ 5x - 2 = 7 + 2x
⇒ 5x - 2x = 7 + 2
⇒ 3x = 9
⇒ x = 3
So, the value of x is 3.
Now we find the measure of each side of triangle JKL
MN = 5x - 2
MN = 5(3) - 2
MN = 15 - 2
MN = 13
Now the side NP
NP = 7 + 2x
NP = 7 + 2(3)
NP = 13
And side PM would be,
PM = 2 + 3x
PM = 2 + 3(3)
PM = 11
Therefore, the value of x is 3 and the measure of each side of isosceles ΔMNP is:
MN = 13
NP = 13
PM = 11
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Help ASAP PLS 10 Points
Use the figure below to answer questions #1-4. You can also use DESMOS to help you answer this question.
What are the coordinates of the original point, G?
Find the product of (2 x 107) and (3 x 107). write the final answer in scientific notation. 6 x 10014 6 x 1049 6 x 107 6 x 1014
The final answer in scientific notation is 6×10¹⁴.
When the numbers are in scientific notation, the multiplication is accompanied with addition of exponents. So, the numbers will be multiplied and exponents will be added.
Writing the equation to find the product by performing the calculation -
Product = 2×10⁷ × 3×10⁷
To perform addition of exponent of the number 10⁷ and to perform the multiplication of the number rewriting the equation
Product = (10⁷⁺⁷)×(2×3)
Adding the exponent and performing multiplication of the numbers to find the product of the given numbers in scientific notation
Product = 10¹⁴×6
Hence, the final answer on multiplication of given numbers is 6×10¹⁴.
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Paige is choosing between 10 books at the library. What is the probability that she chooses 3 particular books to check out from the 10 initial books?
The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
In this question,
Paige is choosing between 10 books at the library.
We need to find the probability that she chooses 3 particular books to check out from the 10 initial books.
The probability of choosing 1 book = 1/10
So, the probability of success (p) = 1/10
the probability of failure (q) = 9/10
Using Binomial probability distribution,
P(x = 3) = [tex]^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7[/tex]
P(x = 3) = 120 × 0.001 × 0.4783
P(x = 3) = 0.0574
Therefore, the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
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A car sitting at rest begins
accelerating at 2.40 m/s² for
15.0 seconds. How far has the
car gone?
(Units = m)
Answer:
86.4m/s as 2.4^(2)=5.76
5.76x15=86.4
Use the spinner to find the probability. If the spinner lands on a line it is spun again.
P (pointer landing on neither red nor yellow)
The probability of spinner pointer landing on neither red nor yellow=1/3 .
As given,
Total colors in the spinner is equal to 6
Each color is 2 times
Total number of colored region=6
Number of each red and yellow region=2
Probability
=(Total number of favourable outcomes) / (Total number of outcomes )
Probability of pointer landing on red or yellow is
P(R or Y)=2/6 +2/6
⇒P(R or Y) =2/3
Probability of pointer landing on neither red nor yellow
P( R or Y)' =1-P(R or Y)
=1-(2/3)
=1/3
Therefore, the probability of spinner pointer landing on neither red nor yellow =1/3.
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