Answers for 5,6,7 please I need help

a. Yes, it is possible for a line (y = mx + b) that passes through the origin (0, 0) to pass through no other rational points. An example of such a line is y = sqrt(2)x. This line passes through the origin (0,0), but the y-coordinate will only be a rational number if the x-coordinate is also a rational number and a perfect square.

b. Yes, it is possible for a line to pass through no rational points. An example of such a line is y = sqrt(2)x + sqrt(3). This line will never pass through any rational points because the y-coordinate will only be a rational number if both x and b are rational numbers and perfect squares, which is not possible in this case.

Answer:

[tex]A = 125 \textrm{ yd}^2[/tex]

Step-by-step explanation:

The area of a triangle can be solved for using the formula:

[tex]A_\triangle = \dfrac{1}{2}b h[/tex]

where [tex]b[/tex] is the length of the triangle's base and [tex]h[/tex] is the length of its height (altitude).

Both [tex]b[/tex] and [tex]h[/tex] are given to us for the shown triangle, so all we have to do is plug the given values into the triangle area formula above.

[tex]A = \dfrac{1}{2} \cdot 10 \cdot 25[/tex]

[tex]A = 5 \cdot 25[/tex]

[tex]A = 125 \textrm{ yd}^2[/tex]

Note that the height of the triangle is given on the outline of an auxiliary (dotted) right triangle. This is just to show that the height is in fact an altitude, meaning it is perpendicular to the base, not at the angle of the triangle's other sides.

A polygon will map to itself after a rotation of a 60° would be a regular hexagon.

What is a polygon?

A polygon is a closed, two-dimensional geometric shape that is defined by a set of straight lines, called its sides, that are connected end-to-end. The number of sides in a polygon is referred to as its "order" or "degree"

A polygon that maps to itself after a rotation of 60 degrees is called a regular hexagon. A regular hexagon is a polygon with six sides of equal length and six angles of equal measure (120 degrees each).

To sketch a regular hexagon, you can start by drawing a dot in the middle of a piece of paper. From there, use a compass or a straightedge to draw a circle around the dot. Then, use the compass to draw six lines from the center of the circle to the edge of the circle, each line being 60 degrees apart from the other. Finally, connect the endpoints of each line to form a six-sided polygon.

Hence, a polygon will map to itself after a rotation of a 60° would be a regular hexagon.

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Answer:

I disagree

Step-by-step explanation:

[tex] \frac{ {2a}^{2} {b}^{2} \times ( - 3 {a}^{2} {b}^{2}) }{6ab \times {9a}^{2} {b}^{2} } \\ \frac{ {2a}^{2} {b}^{2} \times {9a}^{4} {b}^{4} }{6ab \times 9 {a}^{2} {b}^{2} } \\ \frac{18 {a}^{2 + 4} {b}^{2 + 4} }{54 {a}^{2 + 1} {b}^{2 + 1} } \\ \frac{18 {a}^{6} {b}^{6} }{54 {a}^{3} {b}^{3} } \\ \frac{1}{3} {a}^{6 - 3} {b}^{6 - 3} \\ \frac{1}{3} {a}^{3} {b}^{3} [/tex]

Hope this helps

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

directly varying You have the function y = mx (commonly written y = kx), which is known as a direct variation, in the equation y = mx + b if m is a  Variation Theory is a general theory of learning that is mostly utilized in the pedagogy and teaching of mathematics. By emphasizing what remains the same and what changes, it draws attention to a concept's key components and provides the chance to draw connections that are significant.

given

basic salary = 20000

sello notch = basic salary * 12

20000 * 12 = $ 240000

When your base wage is $20,000, your notch equals your basic salary times twelve, or $240000.

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Yes, the statement is a tautology

Tautology is a compound proposition that is always true for all possible truth values of its variable. A tautology has only T in the last column of its truth table.

Truth table for p v ~p

p  ..... ~p  ..... p v ~p

T         F         T

T         F         T

F         T         T

F         T         T

Since the last column of the truth contains only T, the statement is a tautology

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Answer:

[tex]x=\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]x+\frac{21}{4}=6\\4x+21=24\\4x=3\\x=\frac{3}{4}[/tex]

Answer:

18 sattelites

Step-by-step explanation:

Let's make an equation

n is number of sattelites on Saturn

n-2 is number of sattelites on Jupiter

n-16 is number of sattelites on Mars

Equation would be like:

n+(n-2)+(n-16)=36

3n-18=36

3n=54

n=18

The equation of the line in slope intercept form is y = 1 / 2 x - 3 / 2.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Let's find the slope of the line using the coordinates.

Therefore, using (-1, -2) and (-5, -4)

Hence, the slope of a line is the change in the dependent variable with respect to the change in the independent variable.

Therefore,

m = -4 + 2 / -5 + 1

m = - 2 / -4

m = 1 / 2

Therefore, let's find the y-intercept using (-1, -2)

y = 1 / 2 x + b

-2 = 1 / 2 (-1) + b

-2 + 1 / 2 = b

- 3 / 2 = b

Therefore, the equation of the line is y = 1 / 2 x - 3 / 2.

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Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

Since a triangle has number of sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker assigned to a triangle that has edges A, B, and C. So when three components are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and triple corners. The points where the three parts meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Here,

Given : 7 inch , 25 inch and 24 inch.

To find the area of the triangle :

vertices are 7inch , 25inch and 24inch

Since from given vertices we can see it is an right angle triangle:

thus,

=> Area = 1/2 * base * height

=> Area = 1/2 * 24 * 7

=> Area = 12*7

=> Area = 84 inch square

Therefore ,the solution of the given problem of triangle comes out to be

area is 84 inch square.

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Answer:

for perimeter add 8 17 15 together that probably not helpful lol

Answer:

2 times the cost

Step-by-step explanation:

1 persona 1 costs

2 persons, double the cost

The measure of the tan of the angle T is 3.4286

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

Opposite = RS

Hypotenuse = 50

Adjacent = 14

The opposite of the angle T can be calculated as

Hypotenuse² = Opposite² + Adjacent²

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

50² = RS² + 14²

Evaluate the like terms

RS² = 2304

Take the square root of both sides

RS² = 48

The measure of the tan of the angle T is then calculated as

tan(T) = RS/Adjacent

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

tan(T) = 48/14

Evaluate

tan(T) = 3.4286

Hence, the value is 3.4286

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The statement that complete the proof that quadrilateral EFGH is a square is; A) Line EF, FG, GH, and EH are congruent

The four sides of a square are always congruent to each other which means that they are equal to each other.

Now, we see that;

EF = 3√2

GH = 3√2

FH =3√2

EH = 3√2

Thus, all four sides are equal.

We also see that the slopes that form 90 degrees with each other are perpendicular and as such that is also a requirement for the quadrilateral to be a square.

Thus, we can conclude that all four sides are congruent to each other from the evidence above.

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Answer:

Statement 4 of the proof should be:

segment EH is parallel to segment FG

Step-by-step explanation:

They have the same slope which is -1.

If Loretta accidentally recorded a deposit of $47.88 as a debit in her register, her check register will differ from the bank statement by $0.

A deposit amount is debited to the check register as an asset, increasing the amount the account holder has in the bank.

It is the bank's responsibility to credit the deposit since it is a liability to them, not an asset.

Under accounting principles, assets are debited while liabilities are credited.  Loretta's debit entry in her register does not constitute an accounting error under the generally-accepted accounting principles.

Thus, Loretta has not committed an accounting error by recording a deposit of $47.88 as a debit in her register, and her register will not differ from the bank statement for this reason.

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It is a scale factor of 2.

You could see that the JKL triangle has only 4 grids on one side and J'K'L' has 8. So 8/4=2, so, therefore, it is a scale factor of 2. Please correct me if I am wrong.

Answer:

the answer is 54 to the question 5 17 18 -2 23

The value of a is 3√3/2 and value of b is 3/2. The solution has obtained using the trigonometry formulas.

What is trigonometry?

The study of the right-angle triangle's sides, angles, and connection is the main focus of the field of mathematics known as "trigonometry." Therefore, it helps to find the unknown or missing angles or sides of a right triangle using the trigonometric formulas, functions, or trigonometric identities. The angles in trigonometry can either be expressed in degrees or radians. The most used trigonometric angles for computations include 0, 30, 45, 60, and 90 degrees.

In the figure, we are given that one angle measures 30° and the other measures 90° and the hypotenuse is 3.

So, using trigonometry, we know that

Cos theta = adjacent side/hypotenuse

And, Cos 30° is √3/2

So,

⇒√3/2 = a/3

⇒a= 3√3/2

Sin theta = opposite side/hypotenuse

And, Sin 30° is 1/2

So,

⇒1/2 = b/3

⇒b= 3/2

Hence, the value of a is 3√3/2 and value of b is 3/2.

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Answer: Roger should pick Printer B because it prints 2 more pages per minute.

Step-by-step explanation: We are given that printer A prints 33 pages per minute. We have to figure out how many pages printer B prints in a minute.

As shown in the table, in 2 minutes, printer B prints 70 pages, and in 3 minutes it prints 105 pages. We can create a function to model the rate at which printer A prints pages. This is a linear function since for each increase in x, there is a proportional increase in y. This means that if we were to back one minute the printer would print 35 pages since the common difference per minute is 35 pages. The function would therefore be p=35m where m=minutes and p=pages. This means that printer B produces 2 more pages than printer A per minute since 33+2=35.

linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x) is x .

The simplest function in a family of functions that yet retains the definition (or form) of the entire family is known as a parent function in mathematics.

The most basic form of an equation in a family of functions is a parent function. There are several types of parent functions, including: linear operations When the function's degree is 1 and it depicts a straight line, the expression is f(x)=x f (x) = x.

y(x) = x is the linear parent function to keep in mind. This is the function's simplest, most fundamental version.

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Part (a)

[tex](CG)(CE)=(CH)(CD)[/tex]

Part (b)

It is possible to find the length of [tex]\overline{DH}[/tex].

[tex](CG)(CG+GE)=(CH)(CH+DH) \\ \\ (3)(3+5)=(2)(2+DH) \\ \\ 24=2(2+DH) \\ \\ 12=2+DH \\ \\ DH=\boxed{10}[/tex]

The width of the flower bed is 3m.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangular lawn = 8m x 4m

The flower bed dimensions are:

Length = (8m + x)

Width = x

The combined area of lawn and flower bed area = 140 m²

(8 + 2x) x (4 + 2x) = 140

32 + 16x + 8x + 4x² = 140

4x² + 24x + 32 - 140 = 0

4x² + 24x - 108 = 0

4 (x² + 6x - 27) = 0

x² + 6x - 27 = 0

x² + (9 - 3) - 27 = 0

x² + 9x - 3x - 27 = 0

x(x + 9) - 3(x + 9) = 0

(x + 9) (x - 3) = 0

x + 9 = 0

x = -9 (rejected)

x - 3 = 0

x = 3

Thus,

The width of the flower is 3m.

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Answer:

y = 3x - 6

y = -x+2

Step-by-step explanation:

The numeric values for the piece-wise function in this problem are given as follows:

A piece-wise function is a function that has different definitions, depending on the intervals of the input x of the function.

From the image given at the end of the answer, the function has four definitions, depending on the range of x, hence for each numeric value, we have to first identify the range of x for which the input belongs, and then apply the rule.

Hence the numeric values are given as follows:

The problem is given by the image presented at the end of the answer.

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Answer:

y = 5/6x - 1/12

Step-by-step explanation:

The slope-intercept form is y = mx + b

10x - 12y = 1

We subtracted 10x from both sides

-12y = -10x + 1

Divided by -12 both sides

y = -10/-12x - 1/12

To simplify we can get

y = 5/6x - 1/12

Answer: To solve 604 times 33, you can use the basic method of multiplication.

You can start by multiplying the ones digit of 604 (4) by the ones digit of 33 (3) to get 12.

Then, you can multiply the tens digit of 604 (0) by the ones digit of 33 (3) to get 0.

Finally, you can multiply the hundreds digit of 604 (6) by the ones digit of 33 (3) to get 18.

To get the final answer, you need to add these three intermediate values (0+12+18) and carry over if necessary:

604 * 33 = 20,012

You can also use long multiplication method, which is breaking down the multiplication problem into simpler problems.

Or use a calculator or computer.

Step-by-step explanation:

Answer: 12207032501220703250122070325012207032501220703250122070325012207032501220703250

Step-by-step explanation:

1220703250122070325012207032501220703250

Answer:

  B, C

Step-by-step explanation:

You want to graph the inequalities y≤1/4x+3 and y≥-x+2 and identify points that are solutions to the system.

The graph is attached. It matches selection B of the graphs you are shown. The points that lie in the solution area are B(2, 1) and C(3, 3).