This rectangle has side lengths r and s.
For each expression, say whether it gives the perimeter of the rectangle, the area of the
rectangle, or neither.
1. rts
2. r.s
3. 2r + 2s
4.72 +82

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Let m = Malcom's maximum speed

Let r = Ravi's maximum speed

Average of their maximum speed would be represented as [tex] \frac{m + r}{2} = 260 [/tex]

[tex] m + r = 520 [/tex].

Make m the subject of the formula by subtracting r from both sides:

[tex] m = 520 - r [/tex]. Let this be equation 1.

Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as: [tex] 2m = r + 80 [/tex]. This is equation 2.

Plug in (520 - r) into equation 2 to replace m:

[tex] 2(520 - r) = r + 80 [/tex]

[tex] 1040 - 2r = r + 80 [/tex]

Solve for r. Subtract 1040 from both sides:

[tex] 1040 - 2r - 1040 = r + 80 - 1040 [/tex]

[tex] - 2r = r - 960 [/tex]

Subtract r from both sides

[tex] - 2r - r = r - 960 - r [/tex]

[tex] - 3r = - 960 [/tex]

Divide both sides by -3

[tex] \frac{-3r}{-3} = \frac{-960}{-3} [/tex]

[tex] r = 320 [/tex]

To find m, plug in the value of r into equation 1.

[tex] m = 520 - r [/tex]. =>Equation 1

[tex] m = 520 - 320 [/tex]

[tex] m = 200 [/tex].

Malcom's maximum speed = m = 200 km/h

Ravi's maximum speed = r = 320 km/h

Answer:

[tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

Step 1: Put this into an equation

[tex]-\frac{5}{3} - x = \frac{5}{6}[/tex]

Step 2: Solve for x

[tex]-x = \frac{5}{6} + \frac{5}{3}[/tex]

[tex]-x = \frac{5}{2}[/tex]

[tex]x =- \frac{5}{2}[/tex]

Therefore you need to subtract [tex]-\frac{5}{2}[/tex] from [tex]-\frac{5}{3}[/tex] to get [tex]\frac{5}{6}[/tex]

Answer:i don’t know

Step-by-step explanation:I’m sorry dude I have no idea I tried doing it in the browser and I could not find an answer sorry

Answer:

AC = 4.5 units

Step-by-step explanation:

In the given triangle ABC,

Segment AD is the angle bisector of ∠BAC.

m∠CAD = m∠BAD = θ

By applying angle bisector theorem in ΔABC,

An angle bisector of the interior angle in a triangle divides the opposite side into segments that are proportional to the other two sides.

[tex]\frac{\text{AB}}{\text{BD}}=\frac{\text{AC}}{\text{CD}}[/tex]

By substituting measures of the given sides,

[tex]\frac{6.8}{3.8}=\frac{\text{AC}}{2.5}[/tex]

AC = [tex]\frac{6.8\times 2.5}{3.8}[/tex]

AC = 4.473

AC ≈ 4.5 units

Therefore, measure of the missing side AC will be 4.5 units.

Answer:

The expression in factored form is (3x - 7)(3x + 7)

Step-by-step explanation:

Here in this question, we are interested in using the difference of two squares to factor the given expression.

Mathematically, supposed we have two squares a^2 and b^2, and we are told to factorize a^2-b^2.

By using the difference of two squares;

a^2-b^2 can thus be written as;

(a-b)(a + b)

Now, we can apply same approach to the problem at hand.

9x^2 - 49

kindly note that 9x^2 can be written as ((3x)^2 and 49 can be written as 7^2

So applying what we have said earlier about difference of two squares;

9x^2 - 49 will be ;

(3x-7)(3x + 7)

Answer:

The answer is (3x - 7) (3x +7)

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Option c or "SSS"

Answer:

True

Step-by-step explanation:

For one-to-one function, we have for all x₁ and x₂, where x₁ ≠ x₂, then, f(x₁) ≠ f(x₂)

Which gives;

f

Where f(x₁) = y₁, the result of the inverse of the f⁻¹(y₁) = x₁

By definition the inverse of a one-to-one function, f⁻¹ is a distinctive function whose domain is given by f⁻¹(f⁻¹(x)) = x for the values of x in f

Therefore, for one-to-one functions, f⁻¹(f⁻¹(x₁)) = x₁

Where f⁻¹(x₁) = y₁, is the inverse or reverse of a function f(x₁), therefore, we have;

f⁻¹(y₁) = x₁

Which proves the statement that y = f(x) then x= f⁻¹(y).

Answer:

Step-by-step explanation:

Sum of measures of an interior angle of a polygon is given by

( n - 2) × 180

where n is the number of sides

From the question the number of sides is 8 so n = 8

The sum of it's interior angles is

(8 - 2) × 180

6 × 180

Hope this helps you

Answer:

....the answer is 682.5

Answer:

The answer is 702. Hope it helped! :D

Step-by-step explanation:

Answer:

the horizontal distance is the x-intercept, and the vertical distance is the y-intercept

1) x-int=1, y-int=1

2) x-int=6, y-int=5

Answer:

Option a. Y=3x

Step-by-step explanation:

Let us use cross multiplication method.

Let the cost of 1 magazine be x.

No. of copies                               Cost

1)50                                                $150

2)1                                                      x

50x=150 x 1               equation(1)

x=150/50

x=$3

Now see equation (1),

150=50x

150=50 x 3

Here let us represent the cost as y and no. of copies as x.

Y=3x

Therefore, a. Y=3x is the right answer.

Thank you!

Answer:

D) 11 13 15 19 23 23 24 26.5 28 33​

Step-by-step explanation:

The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:

Minimum value = 11

Q1 = 15

Median = 23

Q3 = 26

Maximum value = 33

From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.

The data set in option D has a minimum value of 11, and a maximum value of 33.

Answer:

10800

Step-by-step explanation:

1 trimesters cost = 1450 + 350  $

2 year -> 6 trimester

1800$ x 6 = 10800 $

Answer:

C-D/A=B

C minus D all of that over A = B

Answer:

122

Step-by-step explanation:

5!=5 x 4 x 3 x 2 x 1 = 120

2!=2 x 1 = 2

120+2=122

The answer is 4.05

Step-by-step explanation:

20^2 is 20•20 which is 400 || +5=405 || /100=4.05

Answer:

The x-axis!

Step-by-step explanation:

Answer:

[tex]\large \boxed{\sf \bf \ \ a^2+b^2=20 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a^b=b^a\\\\\text{ We can replace a by 2b.}\\\\(2b)^b=2^b\cdot b^b=b^{2a}=b^2\cdot b^b\\\\\text{ Let's assume that b is different from 0 and we can divide by }b^b \\ \\ \text{ both sides of the equation, and it come.}\\\\2^b=b^2\\\\\text{ We find b = 2 and then a = 4, So}\\\\a^2+b^2=4^2+2^2=16+4=20[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

Dimensions of the product matrix = (3 × 3)

Step-by-step explanation:

If matrix P having dimensions (m × n) and matrix Q having dimensions (n × r) are multiplied,

Dimensions of the product matrix PQ will have the dimensions as (m × r).

That means product of the two matrices are defined when columns of first matrix P is equal to the rows of the second matrix Q.

Following this rule,

Dimensions of matrix A = (2 × 3)

[ Rows × Columns]

Dimensions of matrix B = (3 × 3)  [Rows of B = 3, columns of B = 3]

Dimensions of matrix C = (3 × 2) [Rows of C = 3, columns of C = 2]

Since columns of C and rows of A are equal.

Therefore, product of C and A is defined.

Product of the matrices C & A will have the dimensions as (3 × 3).

2x+10=14

x=2

Area: 14.4= 56

3x+16=25

3x=9

x=3

17x-1,7=37,4

17x=39,1

x=2,3

Step-by-step explanation:

Here,

radius (r)= 2cm

height(h)=5cm

now,

according to the question we must find the surface area of cylinder so,

by formulae ,

a= 2.pi.r(r+h)

now,

a= 2×3.14×2(2+5)

by simplifying it we get,

The surface area of cylinder is 87.92 cm^2.

Hope it helps

Answer:

  4/5

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Surface area of a cuboid:

2 ( lw + wh + hl)

L = Length

W = Width

H = Height

Area of the base = 30 = lw; So we could take the length as 15 cm and width as 2 cm.

Volume = lwh; 15 x 2 x (4); So 4 is the height

So, 2 ( lw + wh + hl)

= 2 (15 x 2 + 2 x 4 + 4 x 15)

= 2 (30 + 8 + 60)

= 2 (98)

= 196 is the surface area of cuboid

Answer:

Step-by-step explanation:

Given one side and diagonal of rectangle we can use Pythagorean theorem to calculate the other side of it.

[tex]L=40\, cm\\D=41\,cm\\W=\ ?\\\\W^2+L^2=D^2\\\\W^2+40^2=41^2\\\\W^2+1600=1681\\\\W^2=81\\\\W=9[/tex]

Perimeter:

P = 2W + 2L = 2•40 + 2•9 = 80 + 18 = 98

Answer:

The systems of equation satisfying the problem are

Y= 4x+9

Y= -3x-5

Y= 2x+5.

Y= 5x+11

Y= 3x+7

Y= -x-1

Step-by-step explanation:

From the graph in the figure

The point A ; x= -2,y=1

So the equations that will interest at point A are the equations that both pass through the point A.

To know the equations that pass through the point A we solve them simultaneously.

For

Y = 10x-1

Y= -3x-5

0= 13x +4

X= -4/13..... definitely not this one

For

Y= 4x+9

Y= -3x-5

0= 7x +14

-14= 7x

-2= x

Substituting the value of x into Y= 4x+9

Y= 4x+9

Y= 4(-2)+9

Y = -8+9

Y= 1

So it's definitely this one

Let's check to know if there is any more

Y = 2x+5

Y= x-1

0= x +6

Definitely not this one

For

Y= 2x+5.

Y= 5x+11

0 = 3x+6

-6= 3x

-2= x

Y= 2x+5.

Y=2(-2)+5

Y= 1

Definitely this one

For

Y= 3x+7

Y= -x-1

0 = 4x +8

-8= 4x

-2= x

Y= -x-1

Y= -(-2)-1

Y= +2-1

Y= 1

Definitely this one too

The correct options are system of equations shown by options (B)[tex]Y= 4x+9 \ and \ y = -3x-5[/tex]

(D) [tex]y= 2x+5 and \ y= 5x+11[/tex]

and (E) [tex]y= 3x+7 \ and\ y= -x-1[/tex].

Given, Coordinates of point A is (-2,1).

We have to find which systems of equations intersect at point A in this graph.

The system of equation which satisfy the point A(-2,1) will intersect at point A.

On putting the value of x=-2 and y= 1, in 1st pair

the equation doesn't satisfy.

similarly checking all the options, we find that the below system equations intersect at point A.

[tex]Y= 4x+9 \ and y = -3x-5 \\y= 2x+5 and \ y= 5x+11\\y= 3x+7 \ and y= -x-1[/tex]

Hence the correct options are system of equations shown by options (B), (D) and (E).

For more details follow the link:

https://brainly.com/question/1680887

Answer:

(-3,6) (1,8) (2,10) and so on.

Step-by-step explanation:

Hi, there!!

Here according to the question we must find the cost of 1 kg sugar.

Given that:

17/4 kg of sugar cost £68.

then 1 kg sugar costs,

=[tex] \frac{68}{ \frac{17}{4} } [/tex]

after reciprocal we get,

= £68×4/17

=£16

The answer would come £16.

Therefore, The cost of 1 kg sugar is £. 16.

Hope it helps....

Answer:

£ 16

Step-by-step explanation:

Cost of 4 1/4 kg sugar = £ 68

4 1/4 = 17/4

Cost of 17/4 kg of sugar = 68

Cost of 1 kg of sugar =68 ÷ (17/4)

                                  [tex]= 68* \frac{4}{17}\\\\=4*4\\[/tex]

                                  = £ 16​

Answer:

DI = 38

Step-by-step explanation:

Δ EHC and Δ DIC are similar and ratios of corresponding sides are equal, that is

[tex]\frac{DI}{EH}[/tex] = [tex]\frac{DC}{EC}[/tex] , substitute values

[tex]\frac{DI}{76}[/tex] = [tex]\frac{1}{2}[/tex]  ( cross- multiply )

2DI = 76 ( divide both sides by 2 )

DI = 38

Answer:

-x^2 - 3

Step-by-step explanation:

SO we know f(x); x^2

when you place a (-), it flips teh image across the x-axis.

Finally, we see that the line is at (0,-3). To get it there, we need to go down 3, which gives us the -3 in the equation.

So we have -x^2-3

(rember the - sign is to flip it across the x-axis, and the -3 is to move the line 3 down the y-axis)        

I checked my answer on a calculator btw lol.

Answer:

population parameter

Step-by-step explanation:

A population  is said to be category of individuals under study.

A population parameter is a numerical value which provides a summary to a measure of an average or percentage which describes the entire population under a study.

In a Normal Curve, the population parameter can be a population mean or population standard deviation , population proportion which represent the population.

∴

The average SAT score of  1356 in the given study  is a population parameter