The perimeter of a rectangle is 75 cm. Its
3
length is 2 – times its breadth. Find the
4.
length and breadth of the rectangle.

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

Suppose the equation be [tex]a = b\\[/tex]

Let there is a symbol [tex]c[/tex] such that we have [tex]a = b = c[/tex]

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

[tex]a = c\\b = c[/tex]

in addition to  [tex]a = b\\[/tex]

Since the given equation is [tex]log_{0.5}(x) = log_2(2+x)[/tex]

The 2d graphs are usually expressed as [tex]y = f(x)[/tex] on X-Y plane.

Taking the equation's expressions equal to y, we get

[tex]log_{0.5}(x) = log_2(2+x) = y[/tex]

or, we get system of equations as

[tex]y = log_{0.5}(x)\\\\y = log_3{(2 + x)}[/tex]

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

Learn more about solutions to system of equations here:

https://brainly.com/question/14550337

Answer:

x = -6

y = -16

Step-by-step explanation:

if you subtract the two equations from each other then the 'y' terms will be eliminated:

 2x = -12

 x = -6

solve for 'y':

4(-6) - 3y = 24

-24 - 3y = 24

-3y = 48

y = -16

Answer:

to find y use the 3,4,5 method:

to get 9 as the base the 3 is multiplied by 3 there multiply 4×3to get twelve as the height then multiply 5 by three to get 15 as the hypotenuse so to that point the answer is definitely choice D

let's firstly convert the mixed fractions to improper fractions and then add them up.

[tex]\stackrel{mixed}{2\frac{10}{20}}\implies \cfrac{2\cdot 20+10}{20}\implies \stackrel{improper}{\cfrac{50}{20}} ~\hfill \stackrel{mixed}{3\frac{15}{20}}\implies \cfrac{3\cdot 20+15}{20}\implies \stackrel{improper}{\cfrac{75}{20}} \\\\\\ \stackrel{mixed}{5\frac{8}{20}}\implies \cfrac{5\cdot 20+8}{20}\implies \stackrel{improper}{\cfrac{108}{20}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]2\frac{10}{20}-3\frac{15}{20}+5\frac{8}{20}\implies \cfrac{50}{20}-\cfrac{75}{20}+\cfrac{108}{20}\implies \cfrac{50-75+108}{20} \\\\\\ \cfrac{83}{20}\implies 4\frac{3}{20}[/tex]

Congruent triangles have equal corresponding sides and angles

Angles RAT and QAS are congruent

Given that:

AR= AQ and RT=QS

Subtract QS from both sides of the second equation

RT-ST=QS-ST

The above equation means that:

RS = QT or

RS = TQ

In triangle ARQ,

Angles R and Q are congruent because the base angles of an isosceles triangle are congruent.

So, we have:

Angle R = Angle Q

Also,

Angle ARS is congruent to ATQ.

The above means that:

Side lengths AT and AS are congruent

So, we have:

AT=AS ---- The base angles of an isosceles triangle ATS

Because of the above highlights,

Angle 1 = Angle 3

Add angle 2 to both sides

Angle 1 + Angle 2 = Angle 3 + Angle 2

So, we have:

Angle RAT = Angle QAS

Hence, angles RAT and QAS are congruent

Read more about congruent triangles at:

https://brainly.com/question/1675117

[tex]~~~~~~ \textit{Union Members Earned Amount}\\\\A=P(1+rt)\qquad\begin{cases}A=\textit{accumulated amount}\\P=\textit{original amount}\dotfill & 240\\r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\t=years\dotfill &4\end{cases}\\\\\\A=240[1+(0.05)(4)]\implies A=240(1.2)\implies A=288[/tex]

Answer:

did this as multiplication

=49

Step-by-step explanation:

-35/3 * -21/5 = 735/15  =49

Answer:

so Mila swam 0.0344 kilometers per min=2.064 kilos per hour

Step-by-step explanation:

Answer:

(x+3)(x+1)

Step-by-step explanation:

Think of using FOIL

First Outer Inner Last

What can you multiply to get to 3 and add up to 4

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3[/tex]

To solve the problem we must know about the Remainder Theorem.

According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.

The roots of the function are 2, 1, and -2.

Given to us

We know (x-2) is the factor of the function, f(x) = [tex]4x^3-4x^2-16x+16[/tex],

therefore,

[tex]f(x) =4x^3-4x^2-16x+16 = [(x-2) \times quotient] + Remainder[/tex]

As (x-2) is the factor of the function, therefore, the remainder will be zero for the equation,

[tex]\rm quotient=\dfrac{4x^3-4x^2-16x+16}{(x-2)}[/tex]

[tex]\rm quotient=4x^2+4x-8[/tex]

Solving the quadratic equation,

[tex]4x^2+4x-8=0\\\text{Dividing botht the sides of the equation by 4}\\4x^2+4x-8=0\\(x-1)(x+2)=0\\[/tex]

Hence, the roots of the function are 2, 1, and -2.

Learn more about Remainder theorem:

https://brainly.com/question/4515216

Answer:

B

just took the test. trust me :)

Answer:

1:5

Step-by-step explanation:

To write 4: 20 in simplest form we have to find the GCF (Greatest common factor)

The GCF of 4 and 20 is 4.

we need to factor each number

(factors of 4 = 1, 2, 4)

(factors of 20 = 1, 2, 4, 5, 10, 20)

and choose the greatest factor that exactly divides both 4 and 20, i.e., 4.

Now we can divide

4: 4 = 1

20 : 4 = 5

Thus, 4: 20 in simplest form is 1:5

[RevyBreeze]

Answer:

1:5

Step-by-step explanation:

4:20 also can be express as 4/20 {fraction}

Find GCF : 4

Thus,

4/4 = 1

20/4 = 5

we can also see that if we cross multiply:

4 × 5 = 20

20 × 1 = 20

[tex]\frac{4}{20}=\frac{1}{5}[/tex]

Therefore, 4:20 in the simplest form is 1:5 or 1/5

~lenvy~

Answer:

a b c and 6

Step-by-step explanation:

Answer:

it's B,C and E

Step-by-step explanation

do you people go to flvs?

Answer:

°

3/2x + 20°+2× =90°

3×\2 + 2× + 20 =90°

5×\2 +20_20 =90°_20

2x5×/2. = 70x2

5×\5=140/5

X =28°

Answer:

7:56 A.M.

Step-by-step explanation:

1 hour and 59 mins = 119 mins

119+18 = 137

137/60 = 2 r 17

(10 - 2 = 8) - 17/60

Therefore they left at 7:56 A.M.

Answer:

A right triangle

Step-by-step explanation:

It follows the 321 rule

Answer:

1600

Step-by-step explanation:

1600 is the answer because

321×5 = 1605 so estimation = 1605

Answer:

3:4

Step-by-step explanation:

3:4 because that's 15/20 reduced

Answer:

6.8 x 0.85

Step-by-step explanation:

it says times in the equation which shows that you must use multiplication

Answer:

any luck bro with this question

Step-by-step explanation:

Answer: 2mp

Step-by-step explanation: Let "b" represent the speed of the boat in still water

Let "c" represent the speed of the current

Let "t" represent time

Downstream(same direction) =(b+c)*t

Upstream(against current)=(b-c)*t

(b+c)*3=24

(b-c)*4=16

3b+3c=24....all sides can be divided by 3 =b+c=8

4b-4c=16.....all sides can be divided by 4 =b-c=4

Use Elimination method

b+c=8

b-c= 4 Subtracting

=====

2c=4

find c by dividing both sides by 2. c=2

if c=2, substitute to get b

b+2=8

 -2=-2

======

b=6

Speed of boat in still water =6mph

rate of current=2mp

Answer:

y= 2x +6

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{6 - ( - 2)}{0 - ( - 4)} [/tex]

[tex] = \frac{6 + 2}{0 + 4} [/tex]

[tex] = \frac{8}{4} [/tex]

= 2

y= 2x +c

y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.

Thus, the equation of the line is y= 2x +6.

Answer:

[tex]x^2 + 12x +36 = (x+6)^2[/tex]

Step-by-step explanation:

[tex]x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)[/tex]

                          [tex]= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2[/tex]

Answer:

Step-by-step explanation:

a²+ 2ab + b² = (a +b)²

x² + 12x + 36  = x² + 2 * x * 6 + 6²        {Here a = x and b = 6}

                         = (x + 6)²

Answer:

$360

Step-by-step explanation:

El sueldo de la persona es igual a un monto de $360

Si tenemos un número y queremos determinar una fracción de este entonces debemos multiplicar la fracción por el número recordando que en la multiplicación de fracciones se obtiene una fracción con numerador la multiplicación de los numeradores y con denominador la multiplicación de los denominadores (si es solo un número entero su numerador es el entero y su denominador es 1), luego se simplifica de manera de obtener una fracción irreductible (fracción donde el numerador y el denominador no tengan términos en común)

Los 7/9 del sueldo es $280, entonces si el sueldo es "x" tenemos que:

7/9*x = $280

x = $280*9/7 = $2520/7

x = $360

Answer:

Step-by-step explanation:

y=4 times 1/2 to the power of x can be written symbolically as

                                                             4                  4

y = 4(1/2)^x.  This is the same as y = ------- or y = -------- * 2^(-x)

                                                             2^x                1

This function is a "decaying exponential."

A suitable table follows:

x      4(2^[-x])         x    y

0      4(2^0)           (0, 4)

1        4(2^1)            (1, 8)

2       4(2^2)           (2, 16)

and so on.