can someone explain to me how to get 338 root 2 as the answer​

Given:

Multiply: \((3x-5)(-x+4)\).

To find:

The simplified product in standard form.

Solution:

We have,

\((3x-5)(-x+4)\)

Applying the distributive property, the expression becomes

\(=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)\)

\(=(-3x^2)+12x+5x+(-20)\)

On combining like terms, we get

\(=-3x^2+(12x+5x)-20\)

\(=-3x^2+17x-20\)

Therefore, the simplified product in standard form is \(-3x^2+17x-20\).

Answer:

8

Step-by-step explanation:

Answer: the answer is 8

Step-by-step explanation: hope this helps :)

Answer:

A (x,y) becomes A'(y,-x)

Step-by-step explanation:

this means we switch x and y to make x a negative

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

To learn more about sorting algorithm, refer:

https://brainly.com/question/14698104

#SPJ4

Answer:759

Step-by-step explanation:

The expression   -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴ with no negative exponents is -a⁵b⁶/3

The given expression is -2³a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

a and b are the variable in the expression

We have to find the expression without negative exponents

\(\frac{a^m}{a^n}=a^m^-^n\)

-8a⁴b⁻⁵/ 24a⁷b³ × b¹⁰/a⁻²b⁻⁴

-a³/3b⁸  × a²b¹⁴

-a⁵b⁶/3

Hence, the expression with no negative exponents is -a⁵b⁶/3

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

Answer:

3√2

Step-by-step explanation:

The congruent length of the triangle are the lengths with equal lengths. For an isosceles triangle, two of its sides are equal. In order to know the length of one of the congruent legs of JLK, we will find the distance between the adjacent point of the triangle.

Given triangle J L K has points J(2, 4), K(5, 1) andL (2, -2).

Using the formula to calculating distance between two points

D = √(x2-x1)²+(y2-y1)²

For side JK,

J(2, 4), K(5, 1)

JK = √(5-2)²+(1-4)²

JK = √3²+-3²

JK = √18

JK = 3√2

For side KL,

K(5,1), L(2, -2)

KL = √(2-5)²+(-2-1)²

KL = √-3²+-3²

KL = √18

KL = 3√2

For side JL

J(2, 4), L(2, -2)

JL= √(2-2)²+(-2-4)²

JL = √0²+-6²

JL = √36

JL = 6

SINCE JK = KL = 3√2, the length of one of the congruent legs is 3√2

Answer: it is B, or the square roooooot of 18

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

always look at the number after point

Answer:

No

Step-by-step explanation:

Answer:

\(\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0\)

Step-by-step explanation:

Step-by-step explanation:

because the circle arcs are equal, it also means that the lengths of the chords (WV and XY) are equal.

9x - 34 = 4x + 1

5x - 34 = 1

5x = 35

x = 35/5 = 7

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

Learn more about box-and-whisker plots on:

brainly.com/question/27849170

#SPJ1

Answer:

We cannot agree with Andre because x = 3.

Step-by-step explanation:

Assuming the diagram is a weighing scale which can also be represented as an equation having two sides that is balanced. We can express the situation as follows using equation:

x + 2 = 5

Solve for x

x + 2 - 2 = 5 - 2 (subtraction property of equality)

x = 3

If you plug in the value of x on the diagram given, the scale becomes balance on each side.

Therefore, x = 3. Andre is wrong and we cannot agree with Andre.

Answer:

0.5 gallons paints 1/6of the wall..

0.5+0.5+0.5+0.5+0.5+0.5=> 3 gallons paint the wall

Answer:

7(7x²-9x +1)

Step-by-step explanation:

49x²-63x+7

7(7x²-9x +1)

The value of the function f(-2) is 0.

What is a Function?

The characteristic that every input is associated with exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets. Functions may also be defined as a relation "f" in which every element of set "A" is transferred to just one element of set "B." Additionally, there cannot be two pairs in a function that have the same initial element. Sets A and B must not be empty. Specific input is supplied to a function in order to produce a specific result. Therefore, f is a function from A to B, where A is a domain and B is a co-domain, as shown by the notation A function f: A->B.

There is an individual element b, b B for an element a, which belongs to A, such that (a,b) f. The specific element b to which f links is indicated by the symbol f(a), also known as the value of f at an or the representation of an under f. Dimensions of f (image of an under f). It is the collection of all of f(values.)

In the given question,

The function is

f(x) = -x² - 2x;

Now, we will substitute the value of x as -2; as we want the value of f(-2).

So,

substituting x as -2. we get:

\(f(x)=-x^2-2 x\)

\(f(-2)=-(-2)^2-2 \times (-2)\)

\(f(-2)=-4 + 4;\)

\(f(-2)=0\)

Hence, The value of f(-2) is 0.

To learn more about function, visit:

https://brainly.com/question/32813328

#SPJ13

we have

f(x)=8x+6

we know that

The rule for a vertical compresion of f(x) is equal to

(x,y) -------> (x, ay)

where a is the factor

so

(x,f(x)) -------> (x,1/4f(x))

thet means

g(x)=1/4{8x+6}

g(x)=2x+1.5

Answer:

find the perimeter of the pool and multiply it wih the area of the tiles

Step-by-step explanation:

The equation of the conic represents a circle with an area of 36π square units.

In this problem we find the equation of the conic in general form, on which we need to determine what kind of conic it represents. This can be done by finding the standard form of the equation by means of algebra properties, using a strategy known as completing the square. The quadratic equation in general form is described by the quadratic equations of the form:

A · x² + B · y² + C · x + D · y + E · x · y + F = 0

Now we proceed to find the standard form of the equation. First, write the equation in standard form:

x² + y² - 3 · x + 6 · y = 7 · x + 2

x² + y² - 10 · x + 6 · y - 2 = 0

Second, complete the square:

(x² - 10 · x + 25) + (y² + 6 · y + 9) = 2 + 25 + 9

(x - 5)² + (y + 3)² = 36

The standard form of the quadratic equation indicates the equation of a circle with a diameter of 12 units and a center at (h, k) = (5, - 3). The area of the circle is calculated below:

A = 0.25π · D²

Where D is the diameter of the circle, in units.

A = 0.25π · 12²

A = 36π

To learn more on conics: https://brainly.com/question/29757055

#SPJ1

f(10) is a multiple of 12 because f(x) has a linear factor of x+2 and x+2 = 12, when x = 10

f(10) multiple of 12 is given as:

The first-degree equations that make up a polynomial's linear factors serve as the foundation stone for higher-order and more complicated polynomials. The formula for a linear factor is ax + b, and it cannot be factored further. When paired with other linear factors, each linear factor represents a separate line, resulting in several sorts of functions with progressively more intricate graphical representations.

f(10) = (10+2)(100+20+2)

= (12)(122)

= 1220+244

= 1464

Hence, f(10) is a multiple of 12

Learn more about linear factors:

https://brainly.com/question/2510777

#SPJ1

well, is simply $400 plus 5% of $5000

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 5000}}{\left( \cfrac{5}{100} \right)5000}\implies 250\hspace{5em}\underset{ \textit{total earnings} }{\stackrel{400~~ + ~~250 }{\text{\LARGE 650}}}\)

Answer:

$650

Step-by-step explanation:

5% of 5000 is 250. 250 + 400 = 650.

You would have earned $650 last week.

The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.

Algebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.

From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.

the word difference in mathematics implies Subtraction (-)

Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.

Know more about algebraic expression here: https://brainly.com/question/4344214

#SPJ1

A dilation by a scale factor of 5 centered at the  origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)

Answer:

14, 15, 16

Step-by-step explanation:

45-2 The difference in integers, that way they're all the same number

43/3=14

14, 15, 16

Answer:

7

Step-by-step explanation:

The measures (in degrees) of the other angles include the following:

m∠1 = 150°.

m∠2 = 30°.

m∠4 = 150°.

m∠5 = 82°.

m∠6 = 98°.

m∠8 = 82°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

By applying the vertical angles theorem to the geometric figure, we have the following:

m∠2 =  m∠3

m∠1 =  m∠4

m∠5 =  m∠8

m∠6 =  m∠7

Read more on vertical angles theorem here: brainly.com/question/17876852

#SPJ1