(A) Undefined terms are Point and Line.
(B) Each point has at least two separate lines.
(C) "P" does not lay on "m," hence the statement is contradictory.
A set of axioms from which one or more theorems may be logically deduced is known as an axiomatic system in mathematics and logic. A theory is a coherent, mostly self-contained body of knowledge that typically includes an axiomatic framework and all of the theorems that are deduced from it.
(A) Undefined terms are :
A location is a point. It is empty, meaning it has no width, length, or depth. A dot indicates a point.
A line is described as a collection of points that stretches in both directions indefinitely.
(B) Each point now has at least two separate lines.
A line 's' that is not incident on point 'P' must exist according to axiom 4 if we use point 'P' as our starting point.
Axiom 2 states that if a line exists, it must have the two points "R" and "S" on it.
(C) Since "P" does not lie on "m." P thus differs from 'e' and 's'
Points that stand out. They are different because they would be referred to as "m" if both lines "n" and I passed via "r" and "s."
However, "P" does not lay on "m," hence the statement is contradictory.
So it is proved
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Which diagram shows lines that must be parallel lines cut by a transversal?
The first diagram shows the parallel lines cut by a transversal.
According to the statement
We have to explain all about the parallel lines cut by a transversal.
So, For this purpose, we know that the
A transversal line is a line that passes through two lines in the same plane at two distinct points.
And
Parallel lines are lines in a plane that are always the same distance apart.
From the given information:
In the given pictures we see that there are the presence of the two parallel lines and a one line is passes through these lines and cut the two parallel lines and there is a formation of the some angles in it.
And by property and the behavior of the transversal line to the parallel lines.
The diagram in first option shows a perfect lines that must be parallel lines cut by a transversal.
So, The first diagram shows the parallel lines cut by a transversal.
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1.268 multiplied by 100
Mary bought a pair of jeans for 30$ and a sweater for 20$. if sales tax is 7% of the total how much did she pay for the jeans sweater and tax altogether
Answer:
53.5
Step-by-step explanation:
7% of 50 is 3.5 and you add it
If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
Solving the Question
We're given:
[tex]f(a) = 3a - a^2[/tex]Determine f(-5):
[tex]f(a) = 3a - a^2\\f(-5) = 3(-5) - (-5)^2\\f(-5) = -15 - 25\\f(-5) = -40[/tex]
Therefore, this statement is true.
Determine f(4):
[tex]f(a) = 3a - a^2\\f(4) = 3(4) - (4)^2\\f(4) = 12 - 16\\f(4) = -4[/tex]
Therefore, this statement is true as well.
Determine f(-1):
[tex]f(a) = 3a - a^2\\f(-1) = 3(-1) - (-1)^2\\f(-1) = -3 - 1\\f(-1) = -4[/tex]
Therefore, this statement is not true.
Determine f(0):
[tex]f(a) = 3a - a^2\\f(0) = 3(0) - (0)^2\\f(0) = 0 - 0\\f(0)=0[/tex]
Therefore, this statement is also not true.
Answerf(-5) = -40
f(4) = -4
S(-2, 4) and T (3,9).
The midpoint is MC). The distance between S and T is about
We get the distance between the coordinates of the point S and T as 5 √2 units.
We are given the coordinates of two points as:
S = ( - 2, 4 )
T = ( 3, 9 )
We have to find the distance between the points S and T.
We will use the distance formula for this.
Distance = √(x₂ - x₁)² + ( y₂ - y₁)²
Here, we have:
x₁ = -2
x₂ = 3
y₁ = 4
y₂ = 9
Substituting the values in the formula, we get that:
Distance = √(3 + 2)² + ( 9 - 4)² units
Distance = √(5)² + ( 5)² units
Distance = √25 + 25 units
Distance = √50 units
Distance = 5 √2 units
Therefore, we get the distance between the coordinates of the point S and T as 5 √2 units.
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9.
4
Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
What is the area of the actual base of the castle in square yards?
The area of the actual base of the castle in square yards is 43200 yards².
How to calculate the area?From the information, Rena is building a model of a castle using a scale of 1inch = 60 yards. Her model has a rectangular base that is 3 inches wide and 4 inches long.
The normal width will be:
= 60 × 3 = 180
The length will be:
= 4 × 60 = 240
Therefore, the area will be:
= Length × Width
= 240 × 180
= 43200 yards²
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Carolyn says that point a and point b represent opposite integers what is the opposite of the integer represented by a point ?by b point
The value of integer a is (-a).
To solve this problem first of all we have to understand the concept of opposite integers.
The opposite integers are nothing but an integer with two different sign but has same numerical value.
Suppose there is an integer y then the opposite of integer is -y. And the opposite of an integer -h is +h.
Here it is asked to find the opposite integer of a.
The opposite of integer a is given to be b but the value of integer is -a.
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enedos bns viimstolquoHSAT or
4. Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties of the same size.
How many pounds of hamburger did he use
per patty?
Mr. Farley used 0.4 pounds of hamburger per patty.
The unitary method is a technique used to find the solution by first finding the value of a single unit and then multiplying the value to get the required answer.
Here, we are given that Mr. Farley used 4 pounds of hamburger to
make 10 hamburger patties.
Given that all of these patties are of the same size, an equal amount of hamburger will be used to make each patty.
We have,
For 10 patties, we need ⇒ 4 pounds of hamburger.
Therefore, for 1 patty we will need ⇒ 4/10 pounds
= 0.4 pounds
Thus, Mr. Farley used 0.4 pounds of hamburger per patty.
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The graph below shows the ages of the top five male finishers in the Mt. Washington Auto Road Bicycle Hillclimb each year from 2017 through 2021.
1. Write the relation of this situation as a set of ordered pairs in terms of (age, finishing place).
2. Identify the domain and range of the relation.
3. Do the ordered pairs represent a function? Explain.
From the given table, we have that:
1. The relation of the situation is: (20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
2. The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
3. There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
What is the relation of this situation?
To build the relation, we look at the graph, and write all pairs of (Age, Finishing Place), as follows:
(20,2), (22.5, 5), (25,4), (27.5, 4), (29,4), (29,5), (30,1), (30,2), (30,3), (30,4), (30,5), (32.5, 1), (32.5, 3), (35,4), (40,2), (42.5, 3).
What are the domain and the range?The domain of a relation is the set that contains all possible input values for the values, that is, the values of x.The range of a relation is the set that contains all possible output values for the values, that is, the values of y.Hence, for the given relation:
The domain is {20, 22.5, 25, 27.5, 29, 30, 32.5, 35, 40, 42.5} and the range is {1, 2, 3, 4, 5}.
When does a relation represents a function?A relation represents a function if each value of the input is mapped to only one value of the output.
For this problem, we have that:
There are inputs such as 25, 29, 30 and 32.5 that are mapped to multiple outputs, hence the relation does not represent a function.
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Find the value of x.
(6x + 7)º
(8x-17)°
(6x+7) and (8x-17)° are both vertical angles; so, the value of x is 12.
What is verticle angles?When two straight lines cross, the angles that are opposite one another are called vertical angles. (These two lines should technically be on the same plane.)
Angles vertically are congruent.
According to the given value;
Let the angles be A and B; such that:
A = 6x+7
B=8x-17
By theorem of vertical angles
A = B
So, we have:
6x+7=8x-17
Collect like terms
8x-6x=7+17
2x=24
x=12
Hence the value of x is 12.
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How do I solve this??
Answer: 144
Step-by-step explanation:
Product =(12^-5)*(12^7) = 144
given h(x) = 4x + 3, find h(4)
Answer:
19
Step-by-step explanation:
Formula
h(x) = 4x + 3
Givens
x = 4
Comment
h(x) is the same thing as y. So the equation can be written as y = 4x + 3
Now it is a simple matter of solving 4x + 3 given that x = 4.
Solution
f(4) = 4*4 + 3 Combine
f(4) = 16 + 3 Add
Answer
f(4) = 19
Given f(x) = 4x + 5, find f(-3).
Answer:
-7
Step-by-step explanation:
f(x)=4x+5
f(-3)=4x+5
=4(-3)+5
-12+5
f(-3)= -7
The "x" in f(x) is the "x" in the equation
Which describes the function on the graph below
We get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
We are given a graph of a function.
A graph of a function is a special case of a relation.
In mathematics, the graph of a function f is the set of ordered pairs, where f(x)=y.
In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.
Here, we can see that function increases before x = - 2, then it decreases till x = 0, then it again increases from x = 0 to x = 2 and then it again decreases.
Therefore, we get that the correct option is option (C) for the graph of the function as it is increasing before x = -2 and from x = 0 to x = 2.
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What is the solution to the following equation?
15+ x = -2
OA. x=17
O B. x = -17
OC. x=13
OD. x=-13
Answer:
x = -17
Step-by-step explanation:
You can plug in answer choices, or you can get x by itself.
I got x by itself because it is faster. Simply subtract 15 from both sides.
So, you would get x = -2 - 15. Keep change change to subtract negative numbers => -2 + -15 which equals to -17.
So x = -17.
You can also plug it in: 15 + -17 does equal -2.
CAN SOMEONE EXPLAIN TO ME HOW TO SOLVE 8^15÷8^7×8
So, we are to solve: [tex] {8}^{15} \div {8}^{7} \times 8[/tex]
Using the exponential rule of multiplication and division with the same bases, which are:
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
and:
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
Therefore:
[tex] {8}^{15} \div {8}^{7} \times {8}^{1} = {8}^{15 - 7 + 1} [/tex]
→[tex] {8}^{9} = 134217728[/tex]
Therefore: 134217728 is the final answer
I hope this helps.
The tile floor in a restaurant is being replaced. The dimensions of the floor are shown. What is the total area of the new tile floor in the restaurant? 15 ft 12 ft 20 ft 17 ft
The total area of the new tile floor in the restaurant = 240 ft².
What is geometric figure?A geometric figure is any arrangement of points, lines, or other planes. Depending on the proportions of the figure, geometric figures are frequently categorized as space figures, plane figures, lines, line segments, rays, as well as points.
What do geometric forms look like?Geometric forms are any open or closed structures with specific shapes and attribute dreamed up of lines, curves, and points. Geometric shapes include square, rectangles, circles, cones, cylinders, sphere, and so on. All of these forms have characteristics that distinguish them from others.
According to the given data:Length of rectangle = 15ft
width of rectangle = 12ft
hypotonus = 17ft
First finding the area of the rectangular part:
area = L x B
= 15 x 12
= 180 ft²
First finding the area of the triangular part:
Area = 1/2 *(B *h)
= 1/2 * (8 * 15)
= 1/2 * 120
= 60 ft²
The total area of the new tile floor in the restaurant = 180 + 60
= 240 ft²
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*Lets see who will get brainiest*
A quadrilateral in the third quadrant is rotated 90° clockwise about the origin. Which quadrant will the transformed quadrilateral be in?
A.
first quadrant
B.
second quadrant
C.
third quadrant
D.
fourth quadrant
Answer:
B
Step-by-step explanation:
Since the quadilateral rotated 90° from the third quadrant it then lands back on the second quadrant.
How do you rewrite an expression using twelfths
One half of 96 is equal to 80% of what number?
(A) 35
(B) 60
(C) 76
(D) 84
(E) 90
Find C that is 1/5 the distance from A(4, 2) to B(8, 7).
The coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
Midpoint of a lineThe formula for calculating the point on a line divided into ratio a:b is expressed as;
C(x,y) = {(ax₁+bx₂)/2, (ay₁+by₂)/2}
Given the following coordinate points A(4, 2) to B(8, 7) divided in the ratio 1:5 is expressed as:
C(x,y) = {(1(4)+5(8))/1+5, (1(2)+5(7))/1+5}
C(x,y) = {(44/6, (37/6)}
Hence the coordinate of C that is 1/5 the distance from A(4, 2) to B(8, 7) is C(x,y) = {(44/6, (37/6)}
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will give brainliest need quickly though
Answer:
just use the calculator
Step-by-step explanation:
What is 3m - 5 = 19.
Can you please show all your steps please.
Answer:
Step-by-step explanation:
r squared minus 15 = t + 19
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
I assume that the question is to describe or graph the equation r² - 15 = t + 19.
The given equation r² - 15 = t + 19 is the equation of a parabola with vertex at (h, k) = (0, -34) and focal length |p| = 1/4.
4p(y - k) = (x - h)² is the common equation for a parabola that faces up and down and has a vertex at (h, k) and a focal length of |p|.
Let us re-write the given equation in the standard form.
r² - 15 = t + 19
⇒ r² = t + 19 + 15
⇒ r² = t + 34
⇒ (r - 0)² = t + 34 (r can be written as r - 0)
⇒ (r - 0)² = t - (-34) (+34 is written as -(-34))
⇒ (r - 0)² = 4 × 1/4 × (t - (-34))
(4 × 1/4 is equal to 1. The given equation is unaffected by a multiplication by 1.)
⇒ 4 × 1/4 × (t - (-34)) = (r - 0)² this equation is in the standard form. And here we have |p| = 1/4 and (h, k) = (0, -34).
Refer to the attached image for the graph of this equation.
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Write a compound inequality: a quantity of x is greater than 10 and less than 20
The compound inequality is: x<20 and x>10
Given, a quantity of x is greater than 10 and less than 20.
A compound inequality (also known as a compounded inequality) is created when two or more inequalities are coupled with and. One part of an inequality must be true for a value to be a solution to an or inequality. It must make both parts true in order to be the solution to an inequality. X<3 or X>2, for instance.
Divide a compound inequality into two independent ones before attempting to solve it. Choose either a union of sets ("or") and an intersection of sets as the appropriate response ("and"). Then, resolve the graph and all inequalities.
Simply put, a compound inequality is more than one inequality that we want to address simultaneously. When referring to the resolution of both inequalities, we can either use the term "and" or "or."
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simplify 7(x+1)+-7(-6x+-9)
Answer:
49x=70
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither . Y=20x+9, y=6x-4
Answer:57368
Step-by-step explanation:
put all them on top like this 573 you can do this 68
I rly need help
-11+9(-7+3)
Answer:
6
Step-by-step explanation:
-7 + 3 = -4
-11 + 9 = -2
-4 + -2 = 6
AFter solving equation what does "interpret the quotient of the two fractions" mean?
Answer:
It literally means either find out what the fractions divided by each other would be or find the answer to the fraction.
Ex: 5/10 divided by 1/2= 1
Ex: 5/10 is equal to 0.5
Step-by-step explanation:
Answer: means either find out what the fractions divided by each other would be or find the answer to the fraction.
Step-by-step explanation:
4 + 10(5 − 3) ÷ 4 + 6²
Answer:
45
Step-by-step explanation:
=4+10×2÷4+36
=4+5+36
=45