Math
What is the difference between -25 and 32

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

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Answer:

6/9=2/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 6/9

Step-by-step explanation:

btw can you please help me with my latest question in my profile? Would really appreciate it!

Answer:

y = 1/3x

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (3,1), we see the y increase by 1 and the x increase by 3, so the slope is

m = 1/3

The y-intercept is located at (0,0)

So, our equation is

y = 1/3x

The different combinations of selecting 4 cars out of 10 are 210. And the different permutations of 4 cars to test drive are 5040.

What are permutations and combinations?

They are the ways of selecting things at random and in permutations is where the order of things matter whereas in combinations it does not matter in which order the objects are selected. To determine permutations and combinations formula is derived in which 'r' things are selected out of 'n' things, represented as P(n,r) and C(n,r).

The permuatations is given by the formula:

P(n,r) = n! ÷ {r! (n-r)!}

C(10,4)= 10! ÷ {4! (10 - 4)!}

          =10! ÷ {4! 6!}

          =\(\frac{10.9.8.7.6.5.4.3.2.1}{4.3.2.1.6.5.4.3.2.1}\)

          =210

P(n,r) = n! ÷ {(n-r)!}

P(10,4)= 10! ÷ {(10 - 4)!}

          =10! ÷ {6!}

          =\(\frac{10.9.8.7.6.5.4.3.2.1}{6.5.4.3.2.1}\)

          =5040

There would be 210 combinations and 5040 permutations on chosing 4 cars out of 10.

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You can test drive any of the 5,040 possible combinations and 2,520 possible permutations of the four vehicles on your list.

To find the number of different permutations, we use the formula nPr = n!/(n-r)!, where n is the total number of items (in this case, 10) and r is the number of items being chosen (in this case, 4).

So, the number of different permutations would be 10P4 = 10!/(10-4)! = 10x9x8x7 = 5,040.

To find the number of different combinations, we use the formula nCr = n!/r!(n-r)!.

So, the number of different combinations would be 10C4 = 10!/4!(10-4)! = 10x9x8x7/(4x3x2x1) = 2,520.

Therefore, there are 5,040 different permutations and 2,520 different combinations of the 4 cars on your list that you can test drive.

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Answer:

1.42

Step-by-step explanation:

An axiomatic system is a set of fundamental assumptions or axioms, along with rules of inference and definitions, that form the basis of a particular field of study and the examples of axiomatic systems include Newton's laws of motion in physics and Euclidean geometry in mathematics.

An axiomatic system is a set of rules and principles that serve as the foundation for a particular field of study, such as mathematics or physics. It is also referred to as a formal system or deductive system.

The elements of an axiomatic system include the axioms themselves, which are the fundamental assumptions that form the basis of the system.

An example of an axiomatic system from physics is Newton's laws of motion, which provide a framework for understanding the behavior of objects in motion.

An example of an axiomatic system from mathematics is Euclidean geometry, which provides a set of rules and principles for understanding the properties of space and geometry.

The axioms of Euclidean geometry include assumptions about the nature of points, lines, and planes, as well as the relationships between them.

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Answer:

\(\frac{8}{27}\)

Step-by-step explanation:

\((\frac{2}{3} )^3 = \frac{2^3}{3^3} = \frac{2 \times 2 \times 2}{3 \times 3 \times 3} = \frac{8}{27}\)

Answer: (6,3)

Step-by-step explanation:

Since C is 2 units from the line of reflection, and it lies on the left of the line of reflection, C' will lie 2 units to the right of the line of reflection.

Therefore, C'=(6,3).

Answer:

Following are the solution to this question:

Step-by-step explanation:

The answer is "M4,6 is really a set of all 4x6 arrays, because it is shuttered by relation with vector and also particle fractions. Its structure for 4x6 also is M4,6".

Answer:

13

Step-by-step explanation:

the formula for distance is √(X2-X1)^2 + (y2-y1)^2

=√(5-0)^2 + (12-0)^2

=√5^2 + 12^2

=√25+144

=√169

=13

Answer:

I can solve 1

Step-by-step explanation:

First you would do 2.9*1.5 then do 1.5*2.9 divided by 2 for the triangle then add them together

The total amount to each person end up paying $20.54.

To find the total amount each person will pay, first calculate the 20% tip on the total bill and then divide the sum by the number of people.

To split the bill evenly among Raphael and his four friends, we first need to find the total cost including the 20% tip.

The tip is 20% of the original bill, which is equivalent to 0.20 x $85.60 = $17.12.

Therefore, the total cost of the bill with the tip is $85.60 + $17.12 = $102.72.

To split this evenly among the five people, we divide by 5:

$102.72 ÷ 5 = $20.54

So each person will end up paying $20.54.

20% of $85.60 is ($85.60 * 0.20) = $17.12

Add the tip to the total bill:

$85.60 + $17.12 = $102.72

Divide the total amount by the number of people (5): $102.72 / 5 = $20.54

Therefore, the answer is B. $20.54.

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Answer:

x = 150°

Step-by-step explanation:

Interior angle of a hexagon = 120° and interior angle of a square = 90°

so remaining angle, 360-120-90 = 150°

The triangle which could be drawn as per the given description is only option b. isosceles triangle with measure 20° and 80°.

An acute triangle with sides measuring 7, 4, and 2

In an acute triangle, the sum of the squares of the two shorter sides must be greater than the square of the longest side .

According to the Pythagorean Theorem.

Here, 7² is greater than (4² + 2²).

So this is not possible.

An isosceles triangle with angles measuring 20° and 80°

In an isosceles triangle, two angles are equal, so if two angle measures 20° and 80°,

Then the third angle measures is

180° - 20° - 80°= 80°

Two angles are congruent implies two sides are congruent.

It is possible to form isosceles triangle.

An obtuse triangle with sides measuring 5, 10, and 15

In an obtuse triangle, the longest side is opposite the largest angle.

Sum of squares of two shorter sides is less than square of longest side according to Pythagorean Theorem.

However, 15²is greater than (5²+ 10²),

so this is not possible.

A scalene triangle with angles measuring 110° and 35°

The sum of the angles of any triangle is 180°,

so the third angle must measure

180° - 110° - 35° = 35°.

Two angles are congruent so it is isosceles triangle.

It is not possible to form scalene triangle.

Therefore, the triangle possible to draw as per the given condition is only option b. isosceles triangle with measure 20° and 80°.

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The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

From the question, we have the following functions that can be used in our computation:

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

yes

Step-by-step explanation:

it's right i think i hel8

Answer:

I got -654,755

Step-by-step explanation:

456+789-656×1000

Answer:

Line l: y=4

Line m: y=-2x+4

Line n: y=x-1

Line p: x=-4

Hope this helps!

Answer:

x = 39°

y = 90°

Step-by-step explanation:

Answer:

x = 39°

y = 92°

Step-by-step explanation:

x = 39° because alternate (or z) angles are equal.

x = 92° because all angles in a triangle add up to 180°.

so

49+39=88

angles on a straight line are equal to 180°

180°-88° = 92

Hope this helps!

Answer:

$3,080 for each person

Step-by-step explanation:

9,240 / 3 = 3,080

Answer:

What are the Factors of 47? The factors of 47 are 1, 47 and its negative factors are -1, -47.

Step-by-step explanation

Answer:

63

Step-by-step explanation:

To find the area of a trapezoid you have to use the formula

a+b/2 h

So we would substitute them

3 + 15 / 2 x 7

Which would equal

63

Hope this helps :)

Answer:

c) 29

Step-by-step explanation:

a and c are given as 18 and 11, respectively.

\(a + c\\= 18 + 11\\=29\)

The graph that shows the new image after a translation of two units up is:

The fourth graph.

(which is the third graph if we consider that the first is the original image).

A translation is a movement to a graph or figure in which only the position of the figure changes, either left, right, up or down, keeping the inclination, orientation and congruence.

The translations are represented as follows:

For this problem, we have a translation two units up, meaning that the x-coordinates of the figure remain constant, while two is added to each of the y-coordinates.

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hi

because it lead to mathematical nonsense

3x-7  = 3x+5

3x-7 -3x-5 = 0

    -7-5 = 0

    -12 =0  

-12 = 0 is just not possible, so 3x-7 = 3x +5  has no solution.

Answer: x=3

Step-by-step explanation: you can rewrite -(3x-9) as -1*(3x-9). as the negative sign is the same as -1. Now if you distribute you get -3x+9. then set this equation equal to zero and subtract 9 from both sides and you'll get -3x=-9. next divide both sides by -3 and you should get the answer x=3.

-(3x-9)

-1*(3x-9)

-3x-9=0

-3x=-9

x=3

Answer:

2,78,10,7

Step-by-step explanation: