The shaded area below is 79 m².
Work out the area of the smaller rectangle.
If your answer is a decimal, give it to 2 d.p.
x+4 m
x + 3 m
x+2m
2x+5 m
Not drawn accurately

Answer:

a)A=4B

b)A=20

c)B=9

If it is directly proportional it means that A=kB.

you can substitute the numbers to find k.

12=k3

k=4

so the formula is A=kB.

For part b and c it is just substitution

Answer:

31-6/1-1

=25/0

=undefined

(Excuse me if this doesn't make sense).

Your formula would be (4,1)

Your zero is (0,0)

To graph it:

If your y is 1, your x is 4

If your y is 2, your x is 8.

There's a video for this if my explanation and photo doesn't help

z = 134 (number of mezzanine units sold)

b = 834 (number of balconies sold)

m = 1120 (number of main floor sales)

Equations:

60m + 42b + 40z = 107,588

m = b + z + 152

b = 3z + 432

Substitute for "b" to get m = 4z + 584

------

Substitute for m and b and solve for "z"::

60(4z+584) + 42(3z+432) + 40z = 107588

240z + 35040 + 126z + 18144 + 40z = 107588

406z + 53184 = 107588

406z = 54404

z = 134 (# of mezzanine sold)

Solve for "b" and for "m" using z = 134

b = 3(134) + 432

b = 834 (# of balcony sold)

m = 834 + 134 + 152

m = 1120 (# of main floor sold)

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ANSWER :

[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]

= (2ab^5)^4

= 2ab^5×2ab^5×2ab^5×2ab^5

= 16a^4b^9

= 16a^4b^9/ab^3

= 16a^3b^17

[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]

= (x^3y^5)^2

= (x^6y^10)

= (ab^7)^2

= (ab^14)

= (x^6y^10)/ab^14

[tex] \rm3.)4mn {}^{7} [/tex]

= 5mn^7 - 1

= 4mn^7

Answer:

3.6

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

The height of the rectangular vessel into which the volume of water that completely fills the cylindrical bucket is poured is approximately 25 centimeters

What is the relation between height and volume of a cylinder?

The volume of a cylinder is the product of the base area of the cylinder and the height of the cylinder.

Height of the cylindrical bucket, h = 50 cm

Radius of the bucket, r = 21 cm

The level of water in the cylindrical container = The container is filled completely with water

The shape of the vessel into which the water is poured = Rectangular vessel

Length of the rectangular vessel into which the water in the cylinder is poured, L = 63 cm

Breadth of the rectangular  vessel, B = 44 cm

Level to which the water fills the rectangular vessel = The rectangular vessel is completely filled with the water poured in from the cylinder

Volume of water in the cylinder, V = Volume of the cylinder = π·r²×h

Therefore;

V = π × 21² × 50 = 22050·π

The volume of water transferred from the cylinder = 22050·π cm³

Volume of the rectangular vessel, [tex]V_s[/tex] = L × B × H

[tex]V_s[/tex] = V = 22050·π cm³

Therefore;

The height of the rectangular vessel, H = [tex]V_s[/tex]/(L × B)

H = 22050·π/(63 × 44) = 24.9899415626 ≈ 25

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By solving the linear equations we get the final values of x = 4 & y = 4.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order  term are included.

We have,

               2x + 7y = -20           ----------(i)

                x - 3y = 16               ----------(ii)

By multiplying equation (ii) with 2 we get,

               2x + 7y = -20 ---------(III)

               2x - 6y = 32 -----------(IV)

taking subtraction of equations (III) and (IV), we get

               y = 4

by putting value of y in equation (ii) we get,

               x = 4

Hence by solving the linear equations we get the values of x = 4 & y = 4.  

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Which one of the following is NOT equivalent to 3/4?

16/24 = 2/3

15/20 = 3/4

6/8 = 2/3

24/32 = 3/4

Answer: 16/24 and 24/32 are not equivalent to 3/4

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different.

Here, when we convert every fraction to its simplest form, we can verify if they are equal.

(16/24) ÷ (8/8) = 2/3

(15/20) ÷ (5/5) = 3/4

(6/8) ÷ (2/2) = 3/4

(24/32) ÷ (4/4) = 6/7

As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.

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The slope of the line passing through the point (2,1) and (7,8) is 7/5

What is a slope?

Slope is the inclination of the line with x-axis. measure of how steep a curve or line is. There are various way to calculate the slope of a line. One of the basic way is from coordinates. It is the ratio of difference of y coordinate to the corresponding x- coordinate. it is also known as slope formula

We are given the coordinates as

(2, 1) and (7, 8).

We use the slope formula to find the slope

Slope = (8-1)/(7-2)

Slope = 7/5

Hence the slope of the passing through the given point is 7/5

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Answer:

Step-by-step explanation:

Find an equation to represent x or y

2x + 2y = -22

     -2y

2x = -22 - 2y

Divide by 2

x = -11 -y

Plug in the found equation

5 (-11 - y) +6y = - 63

- 55 -5y + 6y = - 63

-55 + y = - 63

+55

y = - 8

Plug in the y to find x

2x + 2(- 8) = - 22

2x - 16 = - 22

    + 16

2x = - 6

Divide by 2

x = - 3

The largest area that may be surrounded by fencing is 61776.13 m².

A building's side will have a rectangular storage room built into it. The remaining three corners of the space need security fencing.

The maximum area is enclosed within 703ft of fencing.

Let x = width

     L = length

The perimeter with 3 sides;

L + 2x = 703

L = (703 - 2x)

Let, Area = x * L

Now, replace L with (703 - 2x);

A = x * (703 - 2x)

A = 703x - 2x²

To get the max area by finding the axis of symmetry;

x = -b/2a

In this equation a = -2; b = 703

x = -703 / (2*-2)

x = 175.75m, ( width for the max area )

To get the max area, x=175.75;

A = -2(175.75²) + 703(175.75)

A = -61776.12 + 123552.25

A = 61776.13 m² is a max area

Hence, The maximum area that can be enclosed with 703ft of fencing is 61776.13 m².

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1.92%   is the probability .

Describe probability using an example?

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

  P = x/y

Find out the probability that the first student selected will be left-handed

we have

 x = 6

 y = 40

substitute

 P = 6/40

Simplify

P = 3/20

the probability that the second student selected will be left-handed

we have

    x = 6 - 1  = 4

y = 40 -1 = 39

substitute

 P = 5/39

the probability that the 2 students selected will both be left-handed

Multiply the probabilities

   P = 3/20(5/39)  = 15/780

Convert to percentage

Multiply by 100

15/780 * 100 = 1.92%

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pizzeria will not deliver to mikayla as distance is out of radius.

According to question, as the reference with the origin of the circle, it can deliver pizzeria in the radius of 6 miles

mikayla lives 4 miles north and 6 miles west,

So, distance of mikayla from company,

By using Pythagoras theorem

Distance = √(4)^2 + (6)^2 = √52 miles

As distance is greater than radius, pizzeria will not deliver to mikayla.

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Answer:  would be y=9x+10

Step-by-step explanation: Use the point slope form

Answer:

[tex]\lim_{x \to -\infty} f(x) = \infty[/tex] and [tex]\lim_{x \to \infty} f(x) = \infty[/tex]

Hope this helps!

Step-by-step explanation:

Answer:

  Isiah is correct. The slope is about 0.344.

Step-by-step explanation:

Lyra and Isiah want the slope of the hypotenuse in a triangle with an angle of elevation of 19°.

The slope is the ratio of "rise" to "run". In a right triangle, that is the ratio "opposite"/"adjacent". This ratio is the tangent of the angle of elevation.

  tan(19°) ≈ 0.344

The slope is about 0.344. Isiah is correct.

Isiah knows Lyra is not correct because the slope in a triangle with a 45° angle is 1. Lyra' value of 2.675 is about right for an angle of 69.5°, much greater than either 45° or the given angle of 19°.

__

Additional comment

Unfortunately, the diagram is not drawn to scale. This is often the case with diagrams in geometry problems. The diagram here is misleading in that it seems to show a slope greater than 1 for a 19° angle.

Answer:

not positive or negative

Step-by-step explanation:

It is 0 but i would say it is positive nor negative :)

0, It not really postive or negative

37 + -37 = 0 =

Neither negative nor positive

:/

Answer:

y= -20/9

Step-by-step explanation:

4y+5/3=y-5

3y= -(5+5/3)

3y= -20/3

y= -20/9

Answer:

Collect like terms

4y-y=-10/2-5/3

3y=-5-5/3

5-5/3

LCM=3

3/1=3×5=15

3/3=1×5=5

15-5÷3

10/3

3y=10/3÷3

3y=30/3

y=10

I would break a ten when I subtract 282-47.

What is a ten?

This is the number after nine. it is a two-digit number. it is written as 10.

What is a hundred?

It is a number after 99. It is a three-digit number. It is written as 100.

What is subtraction?

This simply means taking away a number from another. its mathematical symbol is ( - ).

To subtract 282-47;

   282

-     47

=   235

we need to break a ten i.e ( eight- tens) to get a ten to add to two making it 12. then subtract (12 -7) = 5.

7 is now remaining in the tens column i.e( seven- tens). Then subtract (7-4) =3.

Then bring down the two in the hundreds column.

Therefore, 282-47 =235

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Answer:

A. [tex]y=-3x+16[/tex]

B. [tex]y=3x+5[/tex]

C. [tex]y=\frac{1}{3}x+1[/tex]

Step-by-step explanation:

A.

[tex]y-10=-3(x-2)[/tex]

[tex]y-10=-3x+6[/tex]

[tex]y=-3x+16[/tex]

B.

[tex]y-2=3(x+1)[/tex]

[tex]y-2=3x+3[/tex]

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

C.

[tex]y-2=\frac{1}{3}(x-3)[/tex]

[tex]y-2=\frac{1}{3}x-1[/tex]

[tex]y=\frac{1}{3}x+1[/tex]

Answer:

23

Step-by-step explanation:

3+4x

3+4(5)

3+20

23

Hopes this helps please mark brainliest

After rotation, the coordinates of the vertex of the rhombus become:

We know ,  when a point (x,y) rotates 270° counterclockwise about the origin, our point (x,y) becomes (y,-x)

From the graph the coordinates of the vertex of the rhombus are:

Therefore after rotation, the coordinates of the vertex of the rhombus become:

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The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.

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The difference in average speed between two cars is  4 kilometers per hour . Average speed of cars are 32 kilometers per hour and 28 kilometers per hour. The average speed is the total distance traveled by the object in a particular time interval.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.

Both can be measured and quantified since they are physical quantities. Both phrases refer to moving bodies alone; they do not refer to static bodies.

Average speed of first car = total distance / total time

                                            =  160/ 5 = 32

Average speed of second car = total distance / total time  

                                                   = 140/ 5 = 28

The difference in average speed between two cars = 32 -28= 4

4 kilometers per hour is the  difference

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Answer:

For x = -2, y would equal -3.

For x = -1, y would equal -2.

For x = 0, y would equal -1.

For x = 1, y would equal 0.

For x = 2, y would equal 1.

Step-by-step explanation:

So what we have to do is plug in the x-values from the table into the equation.

1) y = -2 -1 => y = -3

2) y = -1 - 1 => y = -2

3) y = 0 - 1 => y = -1

4) y = 1 - 1 => y = 0

5) y = 2 - 1 => y = 1

Answer:

answer for 17 is 5+5+8which is 200 cm

Answer:

1 - 9p

2 - 4y

Step-by-step explanation:

1: 3p+2p+4p Since there all common terms you can just add them together! So it would be 9p!

2: 3y + (-y) + 2y

Lets make this easier to understand.

3y -1y + 2y (I added the one because the y technically is a 1.)

Since they are all like terms because they all have y it is pretty easy to solve now! So it would be 4y!

(WILL DO MORE LATER)

\Step-by-step explanation:

convert to math form:

[tex]\frac{x}{2} \le5[/tex]

simplify:

[tex]x \le 10[/tex]

convert to word form(optional):

x is less than or equal to 5.