Answer:
The make geometry easier to understand from a description of their properties and they provide the foundation from which geometry is built. provide clear meaning by identifying classifications and specific characteristics of those figure, process or idea that need to be distinguished and defined.
There are a lot of works in math. The undefined terms makes geometry easier to understand from a description of their properties and provides the foundation from which geometry is built.
What is a geometry axiom?Axioms are known to be statements made about a set of real numbers. Note that real numbers are a vital part of geometry when it comes to taking figures, axioms are very important.
Geometric Mathematical Structures is known to be a Greek words “geo” that connote “earth” and “metria” meaning “measurement”.
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Which expression is equivalent to (x² - 2x)(3x² + 4x-7)?
O A. x²(3x² + 4x) - 2x(4x - 7)
OB. x²(3x² + 4x-7) - 2x
O c. x²(3x² + 4x-7) - 2x(3x² + 4x-7)
O D. x²(3x² + 4x-7)+2x(3x^2+ 4x-7)
The correct option is C for the given expression.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =
Main body:
given:
(x²-2x) (3x² + 4x − 7) -
To find equivalent expression we multiply each term in first parenthesis with each term in second parenthesis
Multiply x² inside second parenthesis
x²(3x²+4x-7)=3x⁴+4x³-7x²
-2x (3x²+4x-7)=-6x³-8x² + 14x
now we keep all the terms together
3x⁴+4x³-7x²-6x³-8x² + 14x
Now we combine like terms
3x⁴-2x³-15x² + 14x
by solving the option C , we will get the desired result.
Hence , the correct option is C.
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Eliminate the y in the following system of equations. What is the result when you add the two equations?
3x - 2y = 8
x + y = 6
Answer:
X=4
Step-by-step explanation:
3x-2y=8
x+y=6
multiply second equation by 2 so you can eliminate y
2(x+y)=2(6)
2x+2y=12
now add two equations together
first equation: 3x-2y=8
modified second equation 2x+2y=12
added together eliminates y. 5x+0=20
X=4
Answer:
.
Step-by-step explanation:
begin at 40 and skip count by tens five times
Answer:
not exactly sure what is being asked butttt i think it's 90
Step-by-step explanation:
. If XZ = 7x + 1 and PZ = 4x − 1, what is XP? 11
12 19 22
Answer:
XP = 11
Step-by-step explanation:
Given that XZ = 7x + 1 and PZ = 4x − 1
From the diagram, XZ = 2PZ
7x + 1 = 2(4x-1)
7x+1 = 8x - 2
7x - 8x = -2 -1
-x = -3
x = 3
Since XP = PZ
XP = 4x - 1
XP = 4(3) - 1
XP = 12-1
XP = 11
Write an ordered pair for the point in
Quadrant IV that is 4 units away from
point S(-1.5, -2.5) on the coordinate
plane.
If a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
If we have a coordinate point (x, y) in quadrant 4, if the coordinate is 4 units away, the resulting coordinate will be expressed as (x+4, y - 4)
Given the point S(-1.5, -2.5) on the coordinate the plane, if a point in Quadrant IV is 4 units away from this point, the resulting point will be (-1.5+4, -2.5-4) which is (2.5, -6.5)
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can someone help me real quick
it costs $4 to enter the fair. each ride costs $2.50. you have $21.50. how many rides can you go on?
(P.S. can you right the equation/ inequality, please)
Hello!
Equation: y = 2.50x + 47 rides.We can write an expression to show this scenario. Write this in the equation format y = mx + b:
m = rate of change, or cost per ride
b = initial cost, or cost to enter the fair
y = 2.50x + 4
Solve for the amount of rides possible with $21.50:
21.50 = 2.50x + 4
Subtract 4 from both sides to isolate x:
17.50 = 2.50x
Divide both sides by 2.50:
17.50/2.50 = 7 rides.
In triangle ABC,a=6,b=5&c=10. Find the measure of C in degrees and rounded to 1 decimal place.
Using the Law of Cosines with side lengths a=6, b=5, and c=10, we find that angle C in triangle ABC is approximately 125.6 degrees.
To find the measure of angle C in triangle ABC, we can use the Law of Cosines. This law relates the lengths of the sides of a triangle to the cosine of one of its angles. The formula for the Law of Cosines is:
c^2 = a^2 + b^2 - 2ab * cos(C)
Plugging in the given values, we have:
10^2 = 6^2 + 5^2 - 2(6)(5) * cos(C)
Simplifying, we get: 100 = 36 + 25 - 60 * cos(C)
Combining like terms: 100 = 61 - 60 * cos(C)
Moving the terms around: 60 * cos(C) = 61 - 100
Simplifying further: 60 * cos(C) = -39
Dividing by 60: cos(C) = -39/60
To find angle C, we take the arccosine of -39/60:
C = arccos(-39/60)
Calculating the value, we find that angle C is approximately 125.6 degrees (rounded to 1 decimal place).
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True or false?
Point (-0,6, 1) is a solution of the inequality 2y + 5x + 7> 3.
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Solve for x
x > \(\frac{-2y-4}{5}\)
solve for y
y > -\(\frac{5x}{2} - 2\)
Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant
Answer:
Increasing
Step-by-step explanation:
Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.
Since it is moving up from the right, that means it's increasing.
The slope is positive, then the graph is increasing. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The graph is given below.
The line is passing through origin.
At x = 1, the value of y will be 3.
Then the slope will be
m = 3 / 1
m = 1
Then the equation of line will be
y = 3x
The slope is positive.
Then the graph is increasing.
Then the correct option is A.
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9 books are to be bought by a student. Some cost $6 and the remainder cost $3 each. if the total amount spent was $39, how many of each are bought?
Please explain your answer.
Answer:
four nine dollar books
Step-by-step explanation:
36 divivded by 9
3. 07 Quiz: Combine Functions Nearpod i H George has opened a new store and he is monitoring its success closely. He has found that this store's revenue each month can be modeled by r(x) = x2 + 5x + 14 where x represents the number of months since the store opens the doors and r(x) is measured in hundreds of dollars. He has also found that his expenses each month can be modeled by c(x) = x2 - 4x + 5 where x represents the number of months the store has been open and c(x) is measured in hundreds of dollars. What does (r - c)(5) mean about George's new store? -O The new store will sell 900 items in its fifth month in business.
George's new store will have a profit of $5,400 in its fifth month in business.
We are given two functions: r(x) = x^2 + 5x + 14 for revenue, and c(x) = x^2 - 4x + 5 for expenses. We are asked to find the meaning of (r - c)(5).
Step 1: Subtract c(x) from r(x) to find (r - c)(x)
(r - c)(x) = r(x) - c(x) = (x^2 + 5x + 14) - (x^2 - 4x + 5)
Step 2: Simplify the expression
(r - c)(x) = x^2 + 5x + 14 - x^2 + 4x - 5 = 9x + 9
Step 3: Evaluate (r - c)(5)
(r - c)(5) = 9(5) + 9 = 45 + 9 = 54
The value (r - c)(5) = 54 represents the difference between the revenue and expenses in the store's 5th month of operation, measured in hundreds of dollars. In other words, George's new store will have a profit of $5,400 in its fifth month in business.
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bonus question: dogs or cats :)
Answer:
That's hard. Both are cute!
Step-by-step explanation:
3/2
If the shaded part of this chocolate represents $21.00 and the unshaded part represents $5.00 each, what is the value of the whole chocolate
Answer:
$26.00
ad the picture Step-by-step explanation: it would be better if i had the pictrue but t ook the unshaded plus the shaded and got $26.00
Answer:
The correct answer is $26.00
Step-by-step explanation:
$21.00
+$ 5.00
________
$26.00
QUESTION 3 Simplify the following expression 3.1.1 Add:-4
x+6+11x - 5
Answer:
-24 + (-55) = -79
Step-by-step explanation:
-4x+6+11x - 5
Step-by-step explanation:
\( = x + 6 + 11x - 5\)
Organize the expression....
\( = x + 11x + 6 - 5\)
Simplify the expression...
\( = 12x + 1\)
...
Which of the following is a potential downside of deploying a best-of-breed software architecture? Excessive software licensing costs may result from having multiple software agreements. It may be challenging to share data across applications or to provide end-to-end support for business processes. Multiple held desks may be needed to assist users in using the different applications. All of the above Question 15 Which of the following is a true statement about BIS infrastructure security risk assessment? A) BIS security risk assessments consider the likelihood of potential threats to disrupt business operations, the severity of the disruptions, and the adequacy of existing security controls to guard against disruptions. B) COBIT is a widely used risk assessment framework for BIS infrastructures. C) Risk assessments are used to identify security improvements for BIS infrastructures. D) All of the above
Best-of-breed software architecture is the use of the best software in each software category, but can have potential downsides. BIS infrastructure security risk assessment is concerned with identifying threats, evaluating their severity, and determining the necessary security measures. COBIT is a widely used framework for BIS infrastructures.
Best-of-breed software architecture is the use of the best software in each software category, rather than relying on a single software solution. However, it can have potential downsides such as excessive software licensing costs, difficulty sharing data across applications, and difficulty providing end-to-end support for business processes. BIS infrastructure security risk assessment is concerned with identifying threats to business operations, evaluating their severity, and determining the adequacy of current security measures to mitigate them. COBIT is a widely used risk assessment framework for BIS infrastructures. Risk assessments are conducted to determine the necessary security improvements for BIS infrastructures.
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What is the equation of the directrix for the parabola -8(y-3) = (x+4)^2?
I need a proper explanation for this pls
1) y = 5
2) y = 1
3) y = -2
4) y = -6
The equation of the directrix is y=5.
What is Directrix?All points in a plane that are equally spaced out from a given point and a given line make up a parabola. The line is known as the directrix, and the point is known as the parabola's focus. A parabola's axis of symmetry is perpendicular to the directrix, which does not touch the parabola.
Knowing the axis and vertex of a parabola allows one to determine the directrix of the curve.
Given:
-8(y-3) = (x+4)²
Now,
y - 3 = (-1/8)(x + 4)2
y = (-1/8)(x + 4)4 + 3
So,
y = k - p
y = 3 - p
Also, p = 1/ 4a
p = 1 / 4(-1/8)
p = -2
So,
y = 3 - p
y= 3-(-2)
y = 3+ 2
y= 5
Hence, the equation of the directrix is y=5.
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a new car is offered with 10 different options. how many different combinations may a new car have installed? a new car is offered with 10 different options. how many different combinations may a new car have installed?
The number of different combination may a new car would have is 10 ways.
What is a combination in mathematics?
The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.
Given that there are 10 different options.
We have to choose one car.
So total number of combinations = \(^{10}C_1\)
= 10!/(9!)(1!)
= 10 ways
Hence, the number of different combination may a new car would have is 10 ways.
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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.
what is Permutation combination ?
Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.
Solution:
Given that the car are 10 different options.
We have to choose one car.
So total number of combinations = 10C1
= 10!/(9!)
= 10 ways
Therefore, In 10 ways the combination of a new car can be installed.
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How many solutions does this equation have? 8d = 10d − 8
Answer: 10D is your answer hope I helped
Step-by-step explanation:
in how many ways can n identical balls be distributed into r bins such that each bin contains at least two balls
Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.
1 ball in each of 3 boxes: 4 ways
3 balls in one box: 4 ways
2 balls in one box and 1 ball in another box: 3*4=12 ways
There are 20 ways to arrange the balls .
In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.
The combination can also be represented as: –nCr, nCr, C(n,r), Crn
Proof:
nPr = nCr.r!
= [n!/r!(n-r)!].r!
= n!/(n-r)!
Hence the theorem states true.
A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.
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Help 90 points pls help
Answer: Probably D not sure though
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The equation g(x) = f(x-6) = 10(x-6) states that the graph is shifted to the left 6 units ( hints the -6)
What does it mean when 6 people share 12 muffins
Answer:
Each person gets 2 muffins
Step-by-step explanation:
12 divided by 6 is 2
Una caja de carton se ha disenado para qu contenga 184cm cubicos. Si su altura es de 10cm, cual es el area de la base?
Answer:
18.4 cm²
Step-by-step explanation:
Una caja de carton se ha disenado para qu contenga 184cm cubicos. Si su altura es de 10cm, cual es el area de la base?
Volumen = Área de la base × Altura
Área de la base = Volumen / Altura
= 184 cm³ / 10 cm
Área de la base = 18.4 cm²
Por lo tanto, el área de la base es de 18.4 cm².
5-gallon bucket of paint for $67.45 or 1 gallon of paint for $13.99! What is the answer I need it for a homework assignment
Plz help
This is due tonight and I’m literally struggling to complete it all
Problem 10
Answer: 20 degrees
Explanation: Angle GBE = 20 is shown in the diagram which is adjacent to the angle we want. Recall that the incenter is found by constructing the angle bisectors of a triangle. The angle bisectors cut each angle in half. So angle ABG and angle GBE are the same measure.
========================================================
Problem 11
Answer: 22 degrees
Explanation: We'll use similar reasoning as above to find that angle GCA is 11 degrees. So angle BCA = (angle BCG)+(angle GCA) = 11+11 = 22.
========================================================
Problem 12
Answer: 118 degrees
Explanation: Make a copy of triangle ABC. Ignore the other line segments inside the triangle. We found so far that angle B = 20+20 = 40 degrees and angle C is 22 degrees. Solve A+B+C = 180 to get A = 118. This is the measure of angle BAC.
========================================================
Problem 13
Answer: 59
Explanation: Cut the result of problem 12 in half. We're using the same idea as problem 1. Segment AG cuts angle BAC into two equal halves.
========================================================
Problem 14
Answer: 4
Explanation: We can show that triangles GEB and GDB are congruent by the AAS congruence theorem. Note the two pairs of congruent angles, and the pair of congruent sides that are not between the angles. From there, we see the corresponding pieces GE and GD are the same length. The diagram shows GE = 4, so GD = 4 also.
========================================================
Problem 15
Answer: 11
Explanation: Same idea as problem 14. This time we focus on the corresponding congruent parts BD and BE, which are both 11 units long.
========================================================
Problem 16
Answer: sqrt(137)
Explanation: Focus on triangle GDB or triangle GEB (they're the same triangle, just one is a mirror reflection of the other). Use the pythagorean theorem with a = 4, b = 11 to find that c = sqrt(137)
========================================================
Problem 17
Answer: 4*sqrt(26)
Explanation: We'll use a similar idea as problem 14. We can prove triangles GFC and GEC are congruent by AAS. Consequently, we know that FC = EC = 20. The diagram shows EG = 4. Focus on triangle GEC. Use the pythagorean theorem to find that GC = sqrt(416) = 4*sqrt(26)
can anyone tell me if this is correct please?
Answer:
Yup your good
Step-by-step explanation:
Answer:
Yes the answer is correct.
A quadratic and a curvilinear term are the same thing.
True
False
A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with
\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is
False, a quadratic and a curvilinear term are not the same.
False, a curvilinear term is more broad, but quadratics have specific restrictions.
Aidan makes 12 bracelets on Monday. He makes 20 bracelets on Tuesday. He continues to make 8 more bracelets each day from Wednesday through Friday. How many bracelets does Aidan make on Friday
Answer:
56
Step-by-step explanation:
Monday - 12
Tuesday - 20
Wednesday - +8
Thursday - +8
Friday - +8
12 + 20 + 8 + 8 + 8 = 56
find the missing side length of the right triangle below. Round your answer to the nearest tenth.
Answer:
24.4
Step-by-step explanation:
14² + 20² = c²
196 + 400 = 596
√596 = 24.4
hhElLlpp Pls Ill fail
Answer:
1. Turbine
2. Generator
3. Power line
No, the US and other countries shouldn't use more wind energy because the turbine could cause harm to animals that fly.
OR you can say:
Yes, the US and other countries should use more wind energy because it doesn't cause pollution, so no greenhouse gases are made to contribute to global warming.
You can choose either answer. I hope this helps you! ^-^
What is 7/20 in decimals
Answer: 0.35 your welcome
Step-by-step explanation: