I need this answered please

Answer:

22.8 blocks

Step-by-step explanation:

We can think of your path as traveling on a coordinate plane. You start by walking 6 units in the positive y direction, then 22 units in the negative x direction, then walking from this point (-22, 6) back to (0, 0)

This path draws a right triangle. The shorter leg is 6 units long, and the longer end is 22 units long. You want to find the hypotenuse of this triangle.

The hypotenuse is found using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

A and B represent the sides of the triangle, and c represents the hypotenuse!

Before plugging in the functions, isolate c, since that's the answer we're looking for:

[tex]a^2+b^2=c^2\\c=\sqrt{a^2+b^2}[/tex]

Now, plug in the side lengths of the triangle:

[tex]c=\sqrt{6^2+22^2}[/tex]

Now simplify!

[tex]c=\sqrt{36+484} \\x=\sqrt{520} x=22.8[/tex]

It is 22.8 blocks back to your house! Hope this helps!

Answer:

0.7/2=0.35

Step-by-step explanation:

The pattern exists described as a sequence of repeating objects, shapes, or numbers. Patterns can also occasionally be referred to as a series.

The pattern follows the rule = Σn+(n+1)

The next three numbers in the pattern be 3, 6, 10, 15, 21, 28, 36.

A recurring arrangement of numbers, forms, colors, and other elements constitutes a pattern in mathematics. The pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series.

Let the numbers in the pattern be 3,6,10,15, . . .

t1 = 1 + 2 = 3

t2 = 3 + 3 = 6

t3 = 6 + 4 = 10

t4 = 10 + 5 = 15

t5 = 15 + 6 = 21

t6 = 21 + 7 = 28

t7 = 28 + 8 = 36

The pattern follows the rule = Σn+(n+1)

Therefore, the next three numbers is 21, 28, 36.

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Answer: 1/3

Step-by-step explanation:

Answer:

19

I first do plus 2and 7 and 10=z

Answer:

1

Step-by-step explanation:

It is a linear equation, so it has 0 or 1 solution (or infinitely many).

You could view this one as the intersection of line y=3(x-7)+4 and the line y=x-1. There is one intersection, and it is at x=8.

y = x² , y = 2 x are  the region enclosed by the given equations is revolved about the y -axis.

What exactly is a closed area?

All space between a floor and ceiling that is enclosed on all sides by solid walls or windows, except doors that stretch from the floor to the ceiling, is referred to as an enclosed area.

What do you mean by the region that a closed curve encloses?

The sum of all infinitely thin rectangles with height f(x), enclosed by the curve y=f(x), and the x-axis between x=a and x=b, is what we mean when we write baf(x)dx.

Whether contained or not?

The graph is attached in equation y = x² , y = 2 x

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The coordinate of the point L is such that ΔL K L is an isosceles triangle that will be either (0,y) or (2a,y).

It is given that in ΔL K L , J has coordinates (0,0) and K has coordinates (2 a, 2 b) .

We have to find the coordinates of point L so that , ΔL K L is an isosceles triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The ΔL K L is an isosceles triangle,

J has coordinates (0,0)

K has coordinates (2 a, 2 b) .

The possible coordinate of the point L will be (0,y) or (2a,y).

Let's check it.

Using the distance formula ;

JK = [tex]\sqrt{(2a-0)^2 + (2b -0)^2}[/tex]

JK = [tex]\sqrt{(4a^2 + 4b^2)}[/tex]

JK = [tex]2\sqrt{a^2 + b^2}[/tex]

Similarly ;

JL = [tex]\sqrt{0^2 + y^2}[/tex]

JL = y

And

KL = [tex]\sqrt{4a^2 + (2b - y)^2}[/tex]

Let's say two sides JK and KL are equal at any value of a , b and y.

Then ;

The two sides are of equal length , so , we can conclude that this is an isosceles triangle.

Thus , the coordinate of the point L is such that ΔL K L is an isosceles triangle that will be either (0,y) or (2a,y).

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Polygon Q is a scaled replica of Polygon P with a factor of half. The area of Polygon Q is a proportion of the area of Polygon P= 1/4

A polygon is a plane figure characterized by a fixed amount of straight-line segments joined to form a closed polygonal chain. A polygon is a bounded plane region, a bounding circuit, or both. The segments of such a polygonal circuit are referred to as its edges or sides.

Polygons are made up of triangles, hexagons, pentagons, and quadrilaterals. The name indicates how many sides the form has. A triangle, for example, has three sides, whereas a quadrilateral has four.

We are aware of this.

If the areas of two figures were similar, the ratio of their areas equals the scale factor squared.

Let

z → the scale factor

x → polygon q’s area

y → polygon p’s area

So,

Z² = x/y

Z is given as  = 1/2

Putting value we get:

(1/2)² = x/y

(1/4) = x/y

x = 1/4(y)

The  fraction of Polygon P's area = 1/4

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Answer:

Parallelogram S: b = 7, h = 6

Parallelogram T: b = 3, h = 6

Area of Parallelogram S = 42

Area of Parallelogram T = 18

Step-by-step explanation:

The bases and heights of each parallelogram are given by the arrows, just count the number of boxes you see.

Area = base × height, so you just multiply these numbers. Area of parallelograms is found the same way as area for squares/rectangles.

7 × 6 = 42 and 3 × 6 = 18

Line segment FG is not tangent to circle E.

What is Tangent:

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.

What is Line Segment:

A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Now, According to the problem

The tangent line to a circle makes an angle of 90 degrees with the radius.

If |FG| is tangent to circle E.

then,

30^2 = 26^2 + 17^2

which is not true.

Therefore, line segment FG is not tangent to circle E.

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The order of the sides from smallest to largest is: WX, XY, YW

Given: [tex]\angle[/tex] X = 90° (right angle) and [tex]\angle[/tex] W = 51°

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

[tex]\angle[/tex] W + [tex]\angle[/tex] X + [tex]\angle[/tex] Y = 180°

Replacing the given values then we get

51° + 90°+ [tex]\angle[/tex] Y = 180°

141° + [tex]\angle[/tex] Y = 180°

Solving for  [tex]\angle[/tex] Y

Subtracting 141° both sides of the equation:

141° + [tex]\angle[/tex] Y - 141°=180° - 141°

[tex]\angle[/tex] Y = 39°

The order of the angles from smallest to largest is:

[tex]\angle[/tex] Y = 39°, [tex]\angle[/tex]  W = 51°, [tex]\angle[/tex] X = 90°

The opposite sides to these angles must be ordered in the same way:

Opposite side to  [tex]\angle[/tex] Y: WX

Opposite side to  [tex]\angle[/tex] W: XY

Opposite side to  [tex]\angle[/tex] X: YW

The order of the sides from smallest to largest is: WX, XY, YW

Therefore, the correct answer is option C. WX, XY, YW

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Answer:22.05

hope it help

and have a good day

Answer:

45

Explanation

35% is 63

so 5% is 9

so 100% is 180 cuz 5 multiplied by 20 is 100

so 25 % is 25 divided by 100 is 0.25×180 which is 45

hope that helps

Answer:

Image result for what is a voronoi diagram in SIMPLE terms please help!

In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators)

Step-by-step explanation:yes

Given set of numbers 7, 24, 25 represent a right triangle.

By the  triangle inequality theorem , the sum of the lengths of any two sides should be greater than the length of the third side.

Since the sum of the lengths of any two sides is greater than that of the third side, the set of numbers are the measures of a triangle.

Now we find the type of triangle.

We find the sum of the squares of the two smaller sides, and compare the sum to the square of the largest side.

the sum of the squares of the two smaller sides is,

= 7² + 24²

= 49 + 576

= 625

= 25²

Since the sum of the squares of the two smaller sides is equal to the square of the largest side, by Pythagoras theorem the triangle must be right triangle.

Therefore, given set of numbers 7, 24, 25 represent a right triangle.

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A consistent system of equations has at least one solution.

A consistent system is considered to be an independent system if it has a single solution, such as the example we just explored. The two lines have different slopes and intersect at one point in the plane.

A consistent system is considered to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide so the equations represent the same line. Every point on the line represents a coordinate pair that satisfies the system. Thus, there are an infinite number of solutions.

Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.

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Answer:

16.97

Step-by-step explanation:

[tex]BF=\sqrt{(-2-0)^2 + (1-3)^2}=2\sqrt{2} \\ \\ BC=\sqrt{(0-4)^2 + (3-(-1))^2}=4\sqrt{2}[/tex]

So, the perimeter is

[tex]2(4\sqrt{2}+2\sqrt{2})=12\sqrt{2} \approx 16.97[/tex]

Answer:

⬤ = 8

⬛ = 6

Step-by-step explanation:

⬤ = x

⬛ = y

x + y = 14

x - y = 2

add the numbers on top of each other together:

add x to x = 2x , y + -y = 0 , 14 + 2 = 16

2x = 16

divide both sides by 2

x = 8, plug this back into the equation

8 + y = 14

8 - y = 14

y = 6

The line l which is perpendicular to line k has an x intercept of -3.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

where m is the slope and b is the y intercept.

Line k passes through the points (-12, 10) and (6, 1), hence:

Slope = (1 - 10) / (6 - (-12)) = -1/2

Two lines are perpendicular if the product of their slopes is -1. Line L is perpendicular to line k, with y-intercept 6. hence:

Slope of line l = 2

Equation of line l is:

y = 2x + 6

At y = 0:

0 = 2x + 6

x = -3

The line l which is perpendicular to line k has an x intercept of -3.

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Answer:

B. 4:3

Step-by-step explanation:

Divide both by 3:

12/3 = 4

9/3 = 3

4:3

Answer:

A= Q/d +N

Step-by-step explanation:

First you want to move the d term over by dividing both sides

Next you can move the N over by adding it to both sides.

Step-by-step explanation:

adventures

Q

d and d will cancel and

it let d= A-N

Q

Associative Property Of Addition illustrated by each equation.

(2√7) . √3 = 2(√7 . √3)

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Answer:

109 x 3 = 327

Step-by-step explanation:

Answer:

y = -2  for  -2 < x ≤ -1

Step-by-step explanation:

Ceiling function

[tex]f(x) = \left\lceil x \right\rceil[/tex]

The least integer that is greater than or equal to x.

Given ceiling function:

[tex]f(x) =\left\lceil x-1 \right\rceil[/tex]

Evaluate values in the given intervals.

[tex]\boxed{-4 \leq x < -3}[/tex]

[tex]\implies f(-4) =\left\lceil -4-1 \right\rceil=\left\lceil -5 \right\rceil=-5[/tex]

[tex]\implies f(-3.1) =\left\lceil -3.1-1 \right\rceil=\left\lceil -4.1 \right\rceil=-4[/tex]

[tex]\boxed{-2 \leq x < -1}[/tex]

[tex]\implies f(-2) =\left\lceil -2-1 \right\rceil=\left\lceil -3 \right\rceil=-3[/tex]

[tex]\implies f(-1.1) =\left\lceil -1.1-1 \right\rceil=\left\lceil -2.1\right\rceil=-2[/tex]

[tex]\boxed{-2 < x \leq -1}[/tex]

[tex]\implies f(-1.9) =\left\lceil -1.9-1 \right\rceil=\left\lceil -2.9 \right\rceil=-2[/tex]

[tex]\implies f(-1) =\left\lceil -1-1 \right\rceil=\left\lceil -2 \right\rceil=-2[/tex]

[tex]\boxed{-4 < x \leq -3}[/tex]

[tex]\implies f(-3.9) =\left\lceil -3.9-1 \right\rceil=\left\lceil -4.9 \right\rceil=-4[/tex]

[tex]\implies f(-3) =\left\lceil -3-1 \right\rceil=\left\lceil -4\right\rceil=-4[/tex]

Therefore, the step that is included in the graph of the given ceiling function is:  y = -2  for  -2 < x ≤ -1.

Graph of the parent ceiling function f(x) = ⌈x⌉

The graph of the parent function has open dots at (x, x+1) and closed dots at (x, x). Each segment is joined with a horizontal line (step).

The open dot means the value is not included, whereas the closed dot means the value is included.

To graph the given ceiling function f(x) = ⌈x - 1⌉

(See attachment).

From inspection of the attached graph of the given ceiling function:

This proves that the only step that is included in the graph of the given ceiling function from the given answer options is:  

The First Amendment to the Constitution affect American society as D. The right to a free press allows Americans to have access to many independent sources of news and information.

It should be noted that Constitution simply refers to the rules and laws that guide a group of people especially a country.

In this case, the First Amendment to the Constitution affect American society as The right to a free press allows Americans to have access to many independent sources of news and information.

In conclusion, the correct option is D.

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The correct answer is "The right to a free press allows Americans" to have access to many independent sources of news and info

Explanation:

The First Amendment to the constitution was ratified in 1791, in this it was established government could not interfere in the right to exercise religion or assemble as well as the rights of freedom of speech and freedom of the press. This last aspect implies the government cannot interfere in the circulation of information, according to this, citizens have the right to create sources of news and information to report news or express opinions. Thus, the First Amendment affects American society because "the right to a free press allows Americans to have access to many independent sources of news and info".

How much would the commission be on a 650,000 house? $39,000

Given:

Rate of the house 1= $8,00,000

Commission for the house 1=$48,000

Rate of the house 2= $6,50,000

Commission for the house 2=x

What is the commission for the house 2?

8,00,000 ⇒48,000

6,50,000 ⇒ x (directly proportional)

On cross multiplication,

[tex]8,00,000 *x= 48,000*6,50,000\\\\x=\frac{48,000*6,50,000}{8,00,000} =39,000[/tex]

Commission for the house 2 = $39,000

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The average rate of change of the equation is 35

The equation is given as

y  = 35x^1

Evaluate the quotient x^1

So, we have

y  = 35x

The above equation is a proportional linear equation

A proportional linear equation is represented as

y = mx

Where

m represents the average rate of change

By comparison, we have

m = 35

Hence, the average rate of change of the equation is 35

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Complete question

Given the equation y = 35x^1 where x is distance and y is height, calculate the average rate of change

The center and radius of the circle given by the equation x^2 + 2x + 1 + y^2 = 4 is (-1 , 0) and 2, respectively.

The standard form of the equation of circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle in general form is x^2 + 2x + 1 + y^2 = 4, then the coefficients are:

D = 2

E = 0

F = 1 - 4 = -3

If D = -2h and D = 2, then

2 = -2h

h = -1

If E = -2k and E = 0, then

0 = -2k

k = 0

If F = h^2 + k^2 -r^2 and F = -3, then

-3 = (-1)^2 + 0^2 - r^2

r^2 = 1 + 0 + 3

r^2 = 4

r = 2

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Answer:

17.25 < 17.252

Step-by-step explanation:

17.25 means 17.250. So, 17.250 is less than 17.253, which is correct. The other answer choices are incorrect because the sign is pointed the wrong way. 29.60 is not greater than 29.65, so that's incorrect. 21.51 is greater than 21.49. That is not an answer choice though, so that answer choice is incorrect. 7.602 is not greater than 7.612, so that is incorrect.

Hope this helps! :)

The equation of the circle x^2 + y^2 - 6x - 2y + 4 = 0 has a radius of √6 and a center located at (3 , 1).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle in general form is x^2 + y^2 - 6x - 2y + 4 = 0, then the coefficients are:

D = -6

E = -2

F = 4

If D = -2h and D = -6, then

-6 = -2h

h = 3

If E = -2k and E = -2, then

-2 = -2k

k = 1

If F = h^2 + k^2 -r^2 and F = 4, then

4 = 3^2 + (1)^2 - r^2

r^2 = 9 + 1 - 4

r^2 = 6

r = √6

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