Find the x and y intercept for the equation: − = 4

Answer:

Given

Given

Transitive

Substitution

Subtraction

Addition

Substitution

Multiplication

Hard to see list of options. But this should help.

Given

Given

Transitive

substitution property of equality

Subtraction property of equality

Addition property of equality

multiplication property of equality

Simplify

simplify

Substitution means putting numbers in place of letters to calculate the value of an expression.

The transitive property states that “if two quantities are equal to the third quantity, then we can say that all the quantities are equal to each other”

The addition and subtraction property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

The multiplication property of equality states that when we multiply both sides of an equation by the same number, the two sides remain equal.

According to the given question.

AB = BC and BC = CD              ( Given)

AB = 3x - 1 and CD = 2x + 3      ( Given)

Since,

AB = BC and BC = CD

⇒ AB = CD  (transitive)

Substitute the value of AB and CD in AB = CD

⇒  [tex]3x - 1 = 2x + 3[/tex]  (substitution property of equality)

⇒  [tex]x -1= 3[/tex]               (subtraction property of equality)

⇒   [tex]x = 4[/tex]                     (Addition property of equality)

Since,

AB = BC

⇒ AB= 3x -1        

⇒ [tex]AB = 3(4) - 1[/tex]                   ( multiplication property of equality)

⇒ [tex]AB = 11[/tex]                          (simplify)                                  

Therefore,

BC = 11                               (simplify)

Find out more information about substitution, addition, subtraction and transitive property of equality  here:

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Answer:

3 or

C

Step-by-step explanation:

(45 - 3x)^1/2 = x - 9                     Square both sides

45 - 3x = x^2 - 18x + 81               Switch sides

x^2 - 18x + 81 = 45 - 3x               Add 3x to both sides

x^2 - 15x + 81 = 45                      Subtract 45 from both sides

x^2 - 15x + 36 = 0                       Factor

(x - 12)(x - 3) =0

The answers are

x = 12

x = 3

Now the question asks which is extraneous. The answer will be which ever number won't solve the original equation. Looking at it right now, both look OK.

(45 - 3*12)^1/2 = 12 - 9

(45 - 36)^1/2 = 3

(9)^1/2 = 3

So 12 is a proper solution.

What about 3?

(45 - 3*3)^1/2 = 12 - 3

(45 - 9)^1/2 = 9

36^1/2 = 9

6 does not = 9

The extraneous solution is x = 3

Respuesta:

$ 9666. 67

Explicación paso a paso:

Costo de TV = $ 76,000

Número de cuotas = 3

Monto ya pagado = $ 47000

Amontof cada cuota fija = Cantidad que queda por pagar / 3

Cantidad que queda por pagar = Costo de TV - Cantidad ya pagada

Cantidad que queda por pagar = $ (76000 - 47000) = $ 29000

Monto de cada cuota fija = $ 29000/3 = $ 9666. 67

Answer:

20 units

Step-by-step explanation:

Let the length be x. According to the question,

➝ Width = 15% of the length

➝ Width = 15/100x

➝ Width = 3/20x

We have the perimeter of the rectangle that is 46 units.

[tex]\longrightarrow \sf {Perimeter_{(Rec.)} = 2(L + W) } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup x + \dfrac{3}{20}x \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{20x + 3x}{20} \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {46= 2\Bigg \lgroup \dfrac{23x}{20} \Bigg \rgroup } \\ [/tex]

[tex]\longrightarrow \sf {\dfrac{46}{2}= \dfrac{23x}{20}} \\ [/tex]

[tex]\longrightarrow \sf {23= \dfrac{23x}{20}} \\ [/tex]

[tex]\longrightarrow \sf {23 \times 20 = 23x} \\ [/tex]

[tex]\longrightarrow \sf {460= 23x} \\ [/tex]

[tex]\longrightarrow \sf {\cancel{\dfrac{460}{23}} = x} \\ [/tex]

[tex]\longrightarrow \underline{\boxed{ \bf {20\; units = x}}} \\ [/tex]

Therefore, length of the rectangle is 20 units.

Answer:

Hey, could you please add the number line to the question too

Answer:

2.02

Step-by-step explanation:

Hello, I took the quiz. The correct answer is 2.02

Answer:

Are there certain options?

Step-by-step explanation:

2^5 is in other words 2x2x2x2x2

the answer to this is 32

Hope I helped?

Answer:

32

Step-by-step explanation:

Step-by-step explanation:

hope it helps thnak you

brainliest pls ❤

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given the question attached, using Pythagoras theorem:

18² = x² + 12²

324 = x² + 144

x² = 180

x = 13.42

Answer:

xy = 3y² - 4

Step-by-step explanation:

Hope it is helpful....

In the file i have attached, you will find the equation graphed, hope this helps.

Answer:

11.3

Step-by-step explanation:

first we find angle F.

remember, all angles in a triangle always sum up to 180 degrees.

so,

F = 180 - 90 - 61 = 29 degrees

now we use the law of sines.

EF/sin(D) = ED/sin(F) = DF/sin(E)

DF = x

sin(E) = sin(90) = 1

5.5/sin(29) = x/1 = x

x = 11.3

Given:

The interval is [2,9].

To find:

The average rate of change in f(x) over the interval [2,9].

Solution:

The average rate of change in f(x) over the interval [a,b] is defined as:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

In the interval [2,9], the value of a is 2 and the value of b is 9.

Using the above formula, the average rate of change in f(x) over the interval [2,9] is:

[tex]m=\dfrac{f(9)-f(2)}{9-2}[/tex]

[tex]m=\dfrac{f(9)-f(2)}{7}[/tex]

Therefore, the required expression for the average rate of change in f(x) over the interval [2,9] is [tex]\dfrac{f(9)-f(2)}{9-2}[/tex], it is also written is [tex]\dfrac{f(9)-f(2)}{7}[/tex].

Answer:

D

Step-by-step explanation:

right on edge

[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]

Answer:

The answer is 2:5

Step-by-step explanation:

The ratio of the variable a over b will be 5/2. Then the correct oprion is C.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

2a is five times bigger than b. Then the equation is given as,

2a = 5b

The ratio of the a: b is given as,

2a = 5b

a / b = 5 / 2

The ratio of the variable a over b will be 5/2. Then the correct option is C.

More about the solution of the equation link is given below.

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Answer:

y = -7/4 x + 5

Step-by-step explanation:

Answer: 99

Step-by-step explanation:

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

Answer:

<-28, -8>

Step-by-step explanation:

you multiply the values by 4 because that's what the question tells you to do.

if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)

Answer:

What are the statements?

Step-by-step explanation:

p(0)=2

p(1)=2+1+2-1=4

p(2)=2+2+8-8=4

Answer:

C

Step-by-step explanation:

Cause C met the rules of scientific notation which is:

Answer:

The first one is X=4

the second one is 5n - 300= 1,500

Step-by-step explanation:

Answer:

United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama

Step-by-step explanation:

Taking a look at a list of Major League Baseball most valuable players, the countries are:

United States(most players are US-born).

Canada(Joey Votto in 2010).

Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).

Cuba(last Jose Abreu in 2020)

Venezuela(last Jose Altuve in 2017)

Japan(Ichiro in 2001).

Panama(Rod Carew)

Answer:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Step-by-step explanation:

We have the two points (3a, 4) and (a, -3).

And we want to find the value of a such that the gradient of the line joining the two points is 1.

Recall that the gradient or slope of a line is given by the formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) is one point and (x₂, y₂) is the other.

Let (3a, 4) be (x₁, y₁) and (a, -3) be (x₂, y₂). Substitute:

[tex]\displaystyle m=\frac{-3-4}{a-3a}[/tex]

Simplify:

[tex]\displaystyle m=\frac{-7}{-2a}=\frac{7}{2a}[/tex]

We want to gradient to be one. Therefore, m = 1:

[tex]\displaystyle 1=\frac{7}{2a}[/tex]

Solve for a. Rewrite:

[tex]\displaystyle \frac{1}{1}=\frac{7}{2a}[/tex]

Cross-multiply:

[tex]2a=7[/tex]

Therefore:

[tex]\displaystyle a=\frac{7}{2}\text{ or } 3.5[/tex]

Answer:

[tex] \frac{7}{2} [/tex]

Step-by-step explanation:

Objective: Linear Equations and Advanced Thinking.

If a line connects two points (3a,4) and (a,-3) has a gradient of 1. This means that the slope formula has to be equal to 1

If we use the points to find the slope: we get

[tex] \frac{4 + 3}{3a - a} [/tex]

Notice how the numerator is 7, this means the denominator has to be 7. This means the denomiator must be 7.

[tex]3a - a = 7[/tex]

[tex]2a = 7[/tex]

[tex]a = \frac{7}{2} [/tex]

First, we need to set up our two equations. For the picture of this scenario, there is one length (L) and two widths (W) because the beach removes one of the lengths. We will have a perimeter equation and an area equation.

P = L + 2W

A = L * W

Now that we have our equations, we need to plug in what we know, which is the 40m of rope.

40 = L + 2W

A = L * W

Then, we need to solve for one of the variables in the perimeter equation. I will solve for L.

L = 40 - 2W

Now, we can substitute the value for L into L in the area equation and get a quadratic equation.

A = W(40 - 2W)

A = -2W^2 - 40W

The maximum area will occur where the derivative equals 0, or at the absolute value of the x-value of the vertex of the parabola.

V = -b/2a

V = 40/2(2) = 40/4 = 10

Derivative:

-4w - 40 = 0

-4w = 40

w = |-10| = 10

To find the other dimension, use the perimeter equation.

40 = L + 2(10)

40 = L + 20

L = 20m

Therefore, the dimensions of the area are 10m by 20m.

Hope this helps!

Answer:

Width: 10 m

Length: 20 m

Step-by-step explanation:

Hi there!

Let w be equal to the width of the enclosure.

Let l be equal to the length of the enclosure.

1) Construct equations

[tex]A=lw[/tex] ⇒ A represents the area of the enclosure.

[tex]40=2w+l[/tex] ⇒ This represents the perimeter of the enclosure. Normally, P=2w+2l, but because one side isn't going to use any rope (sandy beach), we remove one side from this equation.

2) Isolate one of the variables in the second equation

[tex]40=2w+l[/tex]

Let's isolate l. Subtract 2w from both sides.

[tex]40-2w=2w+l-2w\\40-2w=l[/tex]

3) Plug the second equation into the first

[tex]A=lw\\A=(40-2w)w\\A=40w-2w^2\\A=-2w^2+40w[/tex]

Great! Now that we have a quadratic equation, we can do the following:

4) Solve for w

[tex]A=-2w^2+40w[/tex]

Factor out -2w

[tex]A=-2w(w-20)[/tex]

For A to equal 0, w=0 or w=20.

The average of 0 and 20 is 10, so the width that will max the area is 10 m.

5) Solve for l

[tex]40=2w+l[/tex]

Plug in 10 as w

[tex]40=2(10)+l\\40=20+l\\l=20[/tex]

Therefore, the length of 20 m will max the area.

I hope this helps!

Answer:

Step-by-step explanation:

x²-4=0

(x+2)(x-2)=0

x=-2,2

solution is x∈{-2,2}

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

[tex]\triangle ABD\sim \triangle ECD[/tex]

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

Substitute the values

[tex]\frac{AB}{1.45}=\frac{31.65}{5.45}[/tex]

[tex]AB=\frac{31.65\times 1.45}{5.45}[/tex]

[tex]AB=8.42m[/tex]

Hence, the height of the tree=8.42 m

Answer:

false

Step-by-step explanation:

answer:ab-ac=ab-ac

Answer:

your answer is 8

Step-by-step explanation:

If you divide  322.4 by the speed 40.3 you would get 8 the amount of hours traveling the given distance.

If you dont think the answer is correct you can simply mutiply 40.3 by 8 to ensure that 322.4 miles is in fact how far you will go in that time

hope this help. Have a good day!

\

Bye

Answer:

The answer is C 100πcm^3