what is the rate of change/slope

(Area of 1) + (Area of 2) = (Area of 3) this statement about the squares must be true.

What is Right angle traingle?

A right-angled triangle is a particular kind of triangle in which one of the angles is 90 degrees. The combined angles of the other two are 90 degrees. The triangle's base and perpendicular sides both include the right angle. The longest of the three sides, known as the hypotenuse, is the third side.

we know that;

By applying the Pythagorean Theorem;

[tex]c^2 = a^2 + b^2[/tex]                                                                 .............................(1)

Area of the square says A1;

A1 = a^2 unit^2                                                           ...............................(2)

Area of the square says A2;

A2 = b^2 unit^2                                                         .................................(3)

Area of the square says A1;

A3 = c^2 unit^2                                                         ..................................(4)

Replace the A1, A2, and A3 values in the equation 1 ;

A3 = A1 + A2

therefore;

(Area of 1) + (Area of 2) = (Area of 3).

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Answer:

All real numbers

Step-by-step explanation:

The mean will decrease when the rent decrease.

The median will stay the same.

It's important to note that a mean simply means the average of a set of numbers that are given. The mean is the average of the given numbers and is calculated by dividing the total number of numbers by the sum of the given numbers. A data set's mean (average) is calculated by adding all of the numbers in the set and then dividing by the number of values in the set.

Mean = (sum of all observations divided by the total number of observations)

In this case, the rents are 735, 935, 960, 995, 1005, 1050, 1065, 1075, 1100, 1120 and one of the people moves, and his rent changes from $735 to $535.

In this case, changing 735 to 535 will make the average lower.

On the other hand, the median isn't affected as it's still 1057.50.

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Answer:

1/2

Step-by-step explanation:

Slope is rise over run. If we look at the points (0,0) and (2,1) and plug it into the slope formula...

m = y2 - y1 / x2 - x1

m = 1-0 / 2-0

m = 1/2

we see that the slope is 1/2.

Answer:

1/2

Step-by-step explanation:

The ROC=1/2 because of the rise over run.

Sorry about the bad handwriting. It's hard to write with a mouse.

To solve a proof question, firstly you have to identify the question and visualize it and then try to connect the given conditions.

Mathematical proofs can be difficult, but can be conquered with the proper background knowledge of both mathematics and the format of a proof.

To solve a proof question you have to remember following steps:

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Newton and Descartes eat the same amount based on the fraction calculated.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Newton and Descartes

each buy identical pastillas. Newton cuts his into twelfths and eats 8 slices. This will be 1/12 each. Since there are 4 parts left, this will be:

= 1/12 × 4

= 4/12

= 1/3

Descartes cuts his into sixths, eats some, and has 2 slices left. This will be:

= 2 × 1/6

= 1/3

Therefore, Newton and Descartes eat the same amount.

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Answer:

Oh god, I don't really know much about this, but I am going to assume that the 25 represents the mn so maybe you have to put 25mn + 6600 on the first box?

Step-by-step explanation:

I just looked up how to do this. I think the form has to be a C=mn+b format. For the third box, I think you need to solve 54100=25mn+6600. On the second box I think you just need to solve C(3600)=25(3600)+6600. idrk

Answer: Horizontal Translation

Step-by-step explanation:

The rational root theorem, as its name suggests, is used to find the rational solutions of a polynomial equation (or zeros or roots of a polynomial function). The solutions derived at the end of any polynomial equation are known as roots or zeros of polynomials. A polynomial doesn't need to have rational zeros.

Rational root theorem, also called rational root test, in algebra, theorem that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.

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Answer:

136

Step-by-step explanation:

solve the inside of the parentheses and you get -17, then multiply by -8

ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

Two triangles are said to be congruent if their all corresponding sides are equal and all corresponding angles are equal in measure.

For the given question,

We know that the sum of all angles of a triangle is 180°.

For ΔABC,

∠A + ∠B + ∠C = 180°

42° + 53° + ∠C = 180°

95° + ∠C = 180

∠C = 85°

For ΔABC and ΔRQM,

∠A = ∠R

∠C = ∠Q

AB = RM

So, by the AAS postulate, ΔABC and ΔRQM are congruent triangles.

For ΔRQM,

∠R + ∠Q + ∠M = 180°

42° + 85° + ∠M = 180°

∠M = 53°

For ΔABC and ΔRQM,

∠A = ∠R

∠B = ∠M

AB = RM

So, by the ASA postulate, ΔABC and ΔRQM are congruent triangles.

Therefore, ΔABC and ΔRQM are congruent triangles. They are congruent by either ASA or AAS.

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The complete question is -

Are the triangles congruent Why or why not triangle congruence ASA and AAS?

Answer:    y=-1/2x+4

Step-by-step explanation:

The ways to select the candidates from the total is (c) 142,506

From the question, we have

Total number of members, n = 30

Numbers to selection, r = 5

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 30 and r = 5

Substitute the known values in the above equation

Total = ³⁰C₅

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 30!/25!5!

Evaluate

Total = 142,506

Hence, the number of ways is 142,506

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Answer: The answer is 17,100,720 different ways, or D.

Step-by-step explanation: I took the FLVS test. This situation is a permutation because order DOES matter. If got 142,506, you used the combination formula which is incorrect for this situation.

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]5x-1=3x+5[/tex]

Get the x's on one side.

Add 1:

[tex]5x-1=3x+5\\\box \ \ +1) \ \ (\ \ \ \ +1)[/tex]

[tex]5x=3x+6[/tex]

Subtract 3x from both sides.

[tex]\ \ \ 5x=\ \: 3x+6\\\underline{-3x} \ \ \ \ \underline{-3x}\\[/tex]

[tex]2x = 6[/tex]

Finally, divide both sides by 2.

[tex]2x / 2 = 6/2[/tex]

[tex]x = 3[/tex]

Answer:3

Step-by-step explanation:

since 7 is a number and b is to u should just put 3 windows cause u need to add them all up i think, not sure but just do that, why not,

The length and width of the rectangle can be 30 and 2 inches, 1 inches and 60 inches and 12 inches and 5 inches.

A rectangle is a quadrilateral with opposite sides equal to each other. Opposite sides of a rectangle is equal to each other.

A rectangle has the area of 60 in².

The dimension of the rectangle can be as follows:

area of a rectangle = lw

where

Therefore,

60 = 30 × 2

60 = 1 × 60

60 = 12 × 5

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Answer: $250. Step-by-step explanation: let the amount she need is $x. now. given that. 30℅ of x = $75. so. 30/100 × X = $75.

Answer:

y = -x + 3; could also be y + 1 = -(x - 4)  or  y = -(x - 4) - 1  or x + y = 3

Step-by-step explanation:

No options given, so I hope this helps.

1. Identify any of the equations that have the same slope as your given equation (-1). If there's only one, stop here.

2. Find the y-intercept by replacing (x,y)=(4,-1) in the equation y = -x + b and solve for b: -1 = -(4) + b  ==> 3 = b

3. Replace b in the equation y = -x + b with 3.

The question can be:

"From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

What is the probability of randomly selecting a multiple of 3?"

The answer is that the probability is 3/2, as expected.

We want to find a question about probability, such that the answer is 3/10.

So we will have a set of 10 numbers, and 3 of them make a given event true, the probability of selecting one of these 3 numbers out of the whole set is:

P = 3/10

So, for example:

From the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

What is the probability of randomly selecting a multiple of 3?

There are 3 multiples of 3 on that set of 10 numbers, then the probability is P = 3/10.

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Using doubles plus one fact the sum of 8 + 8 + 1is equal to 17 it is done by simply adding 1 to the given number.

Doubles plus one fact is used to add numbers which are next to each other.

Doubles plus one fact is simply done by doubling the number and adding one to it.

The sum of 8 + 8 can be determined by using doubles plus one fact as:

Simply add 1 in 8 + 8 + 1 to get the result required.

8 + 8 + 1 = 17

Therefore by using doubles plus one fact the sum of 8 + 8 + 1 is equal to 17.

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The exponential function showing the relationship between t and y is y = 310000(1.048)⁺

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

Initial population = 310000

Rate of growth = 4.8%

These parameters can be represeted as

a = 310000 and r = 4.8%

An exponential function is represented as

y = a(1 + r)⁺

Substitute the known values in the above equation, so, we have the following representation

y = 310000 (1 + 4.8%)⁺

Evaluate

y = 310000(1.048)⁺

Hence, the function is y = 310000(1.048)⁺

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Answer:

66 wolves

Step-by-step explanation:

Consider now as the initial point, with the intiial population ([tex]y_{0}[/tex]) being 58  at  t=0.

We are looking for the population (y) in five years, aka when t=5. So let's sub in what we know into our equation to get the answer:

[tex]y=y_{0}e^{0.027t}[/tex]

[tex]y=(58)}e^{0.027(5)}= 66.3831334924[/tex]

Answer:

It looks like it could be the first one

Step-by-step explanation:

How to solve problems like this:

KEY FORMULA: y=mx+b

The b respresents the Y-INTERSCEPT (The number that the line crosses on the y-axis. In this case, it is 1. In the first graph, the line is crossing the 1 on the y-side.)

Mx = Slope. In this case, it is 3/2.

How to graph this: First, plot (0, 1), because 1 is the y-interscept. Then, since the slope is a POSITIVE, after the 1, you go right two, then up three. Then you draw your line.

Answer:

20

Step-by-step explanation:

197 rounded to the nearest 10 is 200.

10.3 rounded to the nearest 10 is 10.

So, 200 ÷ 10 = 20

Answer:

20

Step-by-step explanation:

We are rounding to the nearest 10.

197≈200

10.3≈10

After you have rounded the numbers, The equation simplifies a whole bunch.

200/10=20

Any triple would still represent the sides of a right triangle if we multiplied it by a constant. Therefore, the sides of a right triangle would be represented by 6, 8, 10, 15, 20, and 25, among countless other numbers.

What is right triangle?

A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.

Input the Pythagorean Theorem with the given numbers:

c^2 = a^2 + b^2

25^2 = 15^2 + 20^2

625 = 225 + 400

625 = 625

Yes, the numbers 15, 20 and 25 form a right triangle and the Pythagorean triple.

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[tex]2w^2-2w+32=(w-5)(w-5)[/tex]

[tex]2w^2-2w+32=w^2-10w+25[/tex]

Subtract [tex]w^2[/tex] from each side:

[tex]w^2-2w+32=-10w+25[/tex]

Add [tex]10w[/tex] to each side:

[tex]w^2+8w+32=25[/tex]

Subtract 25 from each side:

[tex]w^2+8w+7=0[/tex]

Factor:

[tex](w+1)(w+7)[/tex] =0

Answer:

x less than or equal to -2

Step-by-step explanation:

I believe that's the answer

Answer:

  x < -2

Step-by-step explanation:

You want the domain of a function graphed as a curve with an open circle at x=-2, which is the right end of the curve.

The domain is the horizontal extent of the graph. It is the set of values for which the relation is defined.

The open circle at (x, y) = (-2, 0) means that point is not part of the graph. All x-values to the left of that point have corresponding y-values, so the extent of the graph can be said to be ...

  x < -2

The domain of the relation is x < -2.

The simplification of the expression 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ? gives -262108

Simplification is a way of determining an answer for a complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus, etc.

Given: the expression, 6 to the power of 2 - (8 - 4) to the power of 2 + 7 = ?

This can be written as 6² -  (8 - 4)²⁺⁷. Thus:

6² -  (8 - 4)²⁺⁷ = 6² -  4⁹

                      = (6×6) - (4×4×4×4×4×4×4×4×4)

                      = 36 - 262144

                      =  -262108

Therefore, the expression 6² -  (8 - 4)²⁺⁷ simplifies to -262108

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