Shayna enlarged a square photo by adding 10 inches to each side so it could be seen on a large poster. The area of the enlarged photo is 256 square inches. In the equation (x + 10)2 = 256, x represents the side measure of the original square photo.

What were the dimensions of the original photo?
pls hurry

4 inches by 4 inches
6 inches by 6 inches
10 inches by 10 inches
12 inches by 12 inches

Evaluando la expresión:

b^2*(c + d) - a^2*(m + n) + 2x

En los corresopondientes valores obtendremos:

b^2*(c + d) - a^2*(m + n) + 2x = 161/6

Veamos la segunda expresión en la imagen, está es:

b^2*(c + d) - a^2*(m + n) + 2x

Uso está por que es la unica que puedo leer bien en la imagen.

Queremos evaluar está expresion, se nos dan los valores:

a = 1               d = 4

b = 2             m = 1/2

c = 3              n = 2/3

p = 1/4           x = 0

Solo hay que reemplazar las variables por los números correspondientes. Si reemplazamos x por 0 obtendremos:

b^2*(c + d) - a^2*(m + n) + 2*0 = b^2*(c + d) - a^2*(m + n)

Ahora reemplacemos c = 3 y d = 4:

b^2*(3+ 4) - a^2*(m + n) = b^2*7 - a^2*(m + n)

Ahora remplazamos m y n, asi obtendremos:

b^2*7 - a^2*(1/2 + 2/3) = 7*b^2 - (3/6 + 4/6)*a^2 = 7b^2 - (7/6)*a^2

Finalmente reemplazamos b y a, asi obtendremos:

7*(2)^2 - (7/6)*1^2 = 7*4 - 7/6 = 28 - 7/6 = 161/6

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Answer:

E

Step-by-step explanation:

You already know that TS = AB and TU = BC because it shows that in the images using the tick marks. SSS Triangle Congruence Postulate is when two triangles are congruent to each other because all the corresponding side lengths are equal to each other. So we already have two side lengths that are equal to each other, and, in order for SSS to be true, we need all 3 side lengths to be equal to each other. The only two side lengths not equal to each other yet are US and CA so if those were to be equal to each other, all corresponding side lengths would be equal to each other.

Let me know if you have any questions.

yes proper subset  is different from a regular subset. The empty set is a proper subset of every set except for the empty set

A proper subset of a set A is a subset of A that cannot be equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B.

Subset: If A and B are sets and every element of A is also an element of B, then:

A is a subset of B, denoted by A ⊆ B.

or equivalently, B is a superset of A, denoted by B ⊇ A.

Any set is considered to be a subset of itself. No set is a proper subset of itself. The empty set is a subset of every set. The empty set is a proper subset of every set except for the empty set.

For example, A = {1, 2, 3, 4, 5} and B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.

A = {1, 2, 3} and B = {1, 2, 3}

Here, A is a subset of B, or we can say that B is the superset of A.

Proper Subset: If A is a subset of B, but A is not equal to B (that is, there exists at least one element of B which is not an element of A), then

A is also a proper (or strict) subset of B; this is written as A ⊊ B.

For example A = {1, 2, 3} and B = {1, 2, 3, 4}.

Clearly, A is not equal to B and element {4} belongs to set B but is absent in set A, so we have one element in set B which is not an element of set A. Thus, A can be called a proper subset of B.

Hence, a proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in A but A contains at least one element that is not in B, thus the proper subset may or may not be the same.

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Answer:

x = 20/3

you will need 20/3 of the 60% solution

Step-by-step explanation:

0.25(40) + 0.60x = 0.30(x + 40)

10 + 0.60x = 0.30x + 12

0.30x = 2

Not sure if it's right

Using proportions, it is found that they traveled a total of 3066 miles around the lake.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships.

One example of application of proportions is for unit rate problems, in which we find the unit rate for a single person, and then the total amount for a number n of people is given by n multiplied by the unit rate.

For this problem, we have that:

Hence the total distance traveled by all these people is given as follows:

200 x 15.33 = 3066 miles.

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Based on the graph which displays the total cost C, in dollars, of renting a boat for h hours, the c-intercept represents A. The initial cost of renting the boat.

The y-intercept is a value that represents the point on a chart where the line intersects with the y-axis. In the above chart, the y-intercept is 5 dollars.

The purpose of the y-intercept is to tell us the initial cost of renting the boat in this instance, before the boat has been used for any number of hours. This is because at the y-intercept, x would be 0 which means that the number of hours would be zero.

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Yes , if we double the no. of fluid ounces then , the amount of cups will double also.

It is given that there are 8 fluid ounces in 1 cup.

We have to check does the amount of cups gets doubled  , if we double the amount of fluid ounces.

What do you mean by unitary methods ?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

As per the question ;

In 1 cup , no. of fluid ounces = 8

So ;

If we double , the no. of fluid ounces , i.e.,

= 8 × 2

= 16

Then ;

The no. of cup will be equal to

= 16 ÷ 8

= 2 cups

Thus , if we double the no. of fluid ounces then , the amount of cups will double also.

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Answer:The space between the circle and the outside circle

Step-by-step explanation:

The space between the circle and the outside circle

The projected attendance for 2014 in the form of linear equation is written as y = 2x.

A linear equation in two variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.

Now, for the given question;

Let us consider that the total attendance in 2012 be 'x'.

And the total attendance in 2014 be 'y'.

Then,  the total attendance for 2014 will be twice the attendance in 2012.

Thus,

y = 2x.

Therefore, the linear equation which shows the condition that the total attendance for 2014 will be twice the attendance in 2012 is y = 2x.

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p=3.5

use the sine law

sin 90/7 = sin 30/p

then cross multiply to solve

The expression [tex]-2\vec C+6\vec D[/tex] in the ordered pair notation is (16,-16).

The vector components of a vector are represented as the ordered pair of its x and y components.

For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is [tex]a \vec i+b \vec j[/tex].

Now the vector C has its x- component = -2

y- component of C = -1

Therefore, ordered pair notation of C = (-2, -1)

x- component of D = 2

y-component of D = -3

Therefore, ordered pair notation of D = (2,-3)

So the expression  [tex]-2\vec C+6\vec D[/tex] = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)

= (16, -16)  in the ordered pair notation.

That is, the vector [tex]\bold {-2\vec C+6\vec D}[/tex] is a vector with x-component 16 and y-component -16.

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Answer:

I think it's, Y = 2x + 5

Step-by-step explanation:

* You move the -4x to the right side.

* Divide 2 from both sides

And you will end up with this answer.

F(x) means the equation

and we are solving for Y here.

Answer:

I would say it would be a translation transformation.

Step-by-step explanation:

Why would I say it would translation? Well, for starters; translation is the only one that would make sense (though, reflection could be the second best answer; but not the correct answer [explanation later]). Dilation doesn't make sense because it's not scaling from either bigger to smaller; from the picture. Translation makes sense because it goes from a different location, keeping its original state. As I said at the beginning, reflection could be the second best answer if it weren't for its mirroring action (it's reversed); making it not an available option for this question. Lastly, rotation definitely could not be correct because it's not rotating at all.

Therefore, translation would be the most viable option in this question.

The value of the given expression is equivalent to [tex]y^{-5} x^{-2}[/tex], that is, option 5.

An exponent is a number or variable that is placed above and to the right of the expression to which it applies. It tells us the number of times the expression is used as a factor.

Here, we are given an expression as follows-

To simplify this expression we can use the following property of exponentials-

[tex]a^{l} a^{k} = a^{k+l}[/tex]

This holds true for all real values of a, k and l.

Thus, we can write the given expression as-

[tex]y^{-8} y^{3} x^{0} x^{-2} = y^{-8+3} x^{0-2}[/tex]

= [tex]y^{-5} x^{-2}[/tex]

Thus, the value of the given expression is equivalent to [tex]y^{-5} x^{-2}[/tex].

From the given options, thus, option number 5, is the correct answer.

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The rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

The number that we have been given is  1.28 bar over 28 that is 28 is repeating.

Now we have to convert it into simple fraction.

For we will first denote,

                  X = 1.28 bar over 28

Multiplying both side by 100 as two digits are being repeated we get,

                   100X = 128.2828…

               Now subtracting it from X on both side s and putting the value of X we get

        100X – X = 128.28… - 1.2828….

           99X = 127

              X =127/99

              X = 1 28/99

Hence the rational number equivalent to 1.28 bar over 28 is 1and 28 over 99 that is option 2) is correct

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The function F(g(9))= 179

Given ,Function F (n) = 3n-1

g(n) = n² - 2n-3

g(9)= 9²-2(9)-3

= 81-18-3

g(9) = 60

F(g(9))=F(60)

= 3(60)-1

 = 179

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x.

In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain.

The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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If two shapes can be mapped onto one another using rigid transformations, then yes, they can be said to be congruent.The preimage of right angle triangle and a right angle triangle are the example of congruent shapes.

Two shapes are considered to be congruent if they can be mapped onto one another using rigid transformations (a sequence of one or more rotations, translations, and reflections). A congruent triangle is produced by any series of rigid transformations applied to a triangle.

Now, let's learn about Rigid transformation

A rigid transformation of the plane, also known as an isometry, keeps length intact. "Rigid transformations" include reflections, translations, rotations, and combinations of these three transformations.

Example: The preimage of right angle triangle and a right angle triangle are the example of congruent shapes.

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Answer:

.....................

Answer:

h=3.6cm

Step-by-step explanation:

v=1/3πr^2h

input your values

98=1/3×22/7×5.13×5.13×h

98=(22*5.13*5.13*h)/21

cross multiply

98*21=22*5.13*5.13*h

2058=22*5.13*5.13*h/22*5.13*5.13

3.6cm=h

please mark brainliest, hope it helps

Using the addition of all the exercise, Javier runs on the treadmill on Monday is 0.40 hours.

Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Given that Javier completed 3 repetitions of each exercise. thus by multiplication time taken by Javier to complete each exercise is as follows;

Squats = 0.8 x 3= 0.24 hour

Crunches = 0.03 x 3 = 0.09 hour

Lunges = 0.04 x 3 = 0.12 hour

curls = 0.05 x 3 = 0.15 hour

we can calculate the total time taken to complete all exercises as;

0.24 + 0.09 + 0.12 + 0.15

= 0.60 hour

Now the time took on treadmill by Javier;

1 hour - 0.60 hour

0.40 hour

Hence,  If he completed 3 repetitions of each exercise, then he run 0.40 hours on the treadmill on Monday.

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0 belongs to the set of rational numbers and also belongs to the set of whole numbers and a set of integers.

A rational number is a number that can be written in the form of P/Q where Q is not equal to zero.

We have,

0 belongs only to the set of rational numbers.

We see that 0 belongs to the set of rational numbers since,

0 / n = 0 where n can be any number.

But,

0 belongs to the set of integers.

0 belongs to the set of whole numbers.

Thus 0 belongs to the set of rational numbers and also belongs to the set of whole numbers and set of integers.

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Answer: £1342.5

Step-by-step explanation:

y = a(1 + R)^n

y = 1290(1 + 0.005)^8

y ≈ 1342.51

∴ £1342.5

The value of third consecutive odd is 23

• In Mathematics, algebra is a branch which only deals with symbols and the rule for  the manipulation of these symbols. Algebra is divided into different sub branches such as advanced algebra, linear algebra, elementary algebra, abstract algebra etc.

• The basics of algebra contains numbers, variables, constants, expressions and equations. The basic four operations of algebra are addition, subtraction, multiplication, division.

Let the first consecutive odd integer be x

Second consecutive integer = x+2

Third consecutive integer = x+4

We are given that

First + third = 5(Second) – 63

x + x + 4 = 5 (x+2) -63

2x + 4 = 5x +10 -63

-3x = -57

3x = 57

x = 19

First Consecutive odd = 19

Second Consecutive odd = 21

Third Consecutive odd = 23

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[tex] \large{ \star \boxed{ \tt \: Answer : \boxed{ \tt{4}}}}[/tex]

Please see the attached picture for full solution !

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Proportionality constant of p is = 14 t

The constant proportional relationship between two variables. The proportionality constant, k, is defined as k = y/x. This is equivalent to the equation for the slope of a line through the origin, m = y/x. The value of m, which will be the same as the value of k, or the constant or proportionality, can be discovered using the equation for the slope of the line.

y = kx

The rate k = 210 ÷ 15 = 14 gel pens per minute

"p" is number of pens, "t" is number of minutes

p = 14t

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The scientific method  consists  of the following steps: conceptualize a process or problem to be studied, collect research data, analyze the data, and draw conclusions.

Which of the following study design categories focuses on observing and documenting behavior?

What are some examples of biological processes that have an impact on development?

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Answer:

-78x² - 4x^-7 + 7

Step-by-step explanation:

we compute using mathematical rules

-2x^2- 2x^-7 -2x^2-2x^-7 - (2x^2 +72x^2+7)

-4x^2-4x^-7-2x^2-72x^2-7

= -78x² - 4x^-7 + 7

The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expressions are given below.

- 2x² - 2x - 7 and 2x² + 7

Subtract - 2x² - 2x - 7 from 2x² + 7, then we have

⇒ (2x² + 7) - (- 2x² - 2x - 7)

⇒ 2x² + 7 + 2x² + 2x + 7

⇒ 4x² + 2x + 14

The subtraction of the polynomial - 2x² - 2x - 7 from 2x² + 7 will be 4x² + 2x + 14.

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