What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.

Answer:

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Step-by-step explanation:

Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :

The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:

[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]

[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]

4x = 3yz²

Next, divide both sides by 3y:

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]

[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]

Lastly, take the square root of both sides to isolate the variable, z :

[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]

[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Therefore, the equation for z is:   [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

Step-by-step explanation:

Average speed = distance/time

Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour

Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]

What problem. You didn't attach anything or put it in the question.

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

Step-by-step explanation:

As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].

A linear expression is an expression where the variable has the highest power of 1.

Given  liner expression is:

[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]

Therefore, the required sum is  [tex]\frac{2(a+4b)}{15}[/tex].

Learn more about a linear equation here: https://brainly.com/question/1722892

SPJ2

Answer:

Let the income of husband be X

The income of wife will be = X+2000

Combined income of couple will be= (X+2000) + X

                                                   = 2X+2000

It is given that combined income of couple is = 58000

Therefore  2X+2000= 58000

                 2X = 58000-2000

                 2X = 56000

                 X= 56000/2 = 28000

Therefore Income of husband is 28,000

and Income of wife = 28000+2000= 30,000

Step-by-step explanation:

the answer is 5 hope this helps lol

Answer:

The slope is -2

Step-by-step explanation:

Answer:

sorry, I cant help... i am not able to see the picture

Step-by-step explanation:

Answer:

B is my answer si no sorry

Answer:

[tex]$-4x$[/tex]

Step-by-step explanation:

First, let us write this equation into an easier one. We have:

[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]

The exponents cancel out with the square root, so we have:

[tex]-4x[/tex]

as our answer.

HOPE IT HELPS :D

Answer:

the answer is B. x=75 y=68

Answer:

B. x = 75, y = 68

Step-by-step explanation:

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

The following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Recall:

Thus, the following are deductive reasoning for each statement in the algebraic proof given:

1. CD + DE = CE (Segment Addition Postulate)

2. 8 + (3x + 7) = 6x (Substitution)

3. 3x + 15 = 6x (Combining like terms)

4. 15 = 3x (Subtraction Property of Equality)

5. x = 5 (Division Property of Equality)

6. CE = 6(5) (Substitution)

Learn more about Segment Addition Postulate on:

https://brainly.com/question/2134445

Answer:

$480

Step-by-step explanation:

400 × .20 = 80

the retailer got an extra 20% or $80 for the machine.

$400 + $80 = $480

The customer paid $480 for the washing machine.

Answer:

y=1/3x+5 hope it helps you

Answer:

x = [tex]\frac{y+c}{m}[/tex]

Step-by-step explanation:

Making it the subject means "setting the equation equal to it"

y = mx – C

y + c = mx

[tex]\frac{y+c}{m}[/tex] = x

x = [tex]\frac{y+c}{m}[/tex]

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

Step-by-step explanation:

Answer:

C. (2,7)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)

Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation

For instance, for A (-1, 5) we would plug in 5 for x and -1 for y

Now we have -1 = 3(5) + 1

Multiply 3 and 5

-1 = 15 +1

Add

-1 = 16

The numbers on each side are not equal so this is not the answer

Now for B (10,3)

We do the same thing, plug in the numbers

3 = 3(10) + 1

Multiply

3 = 30+1

3 = 31

This choice is false as well

Option C (2, 7)

Plug in the numbers

7 = 3(2) + 1

Multiply

7 = 6+1

Add

7 =  7

Thus C is the answer as it is the same number on both sides~!

Hope this helpsss! :D

Answer:

Seven million two thousand five hundred in standard form is 7002500

Answer:

Step-by-step explanation:

In words=7,002,500

In standard form:

7.0025×[tex]10^{6}[/tex]

Answer:

in the forth qadritic ( iv) please mark me

Answer:

4th quadrant

Step-by-step explanation:

As point F has coordinates x positive and y negative

it lies in 4th quadrant

Iterative is used when the equations cannot be solved simply.

The given value is put in the equation to solve.

Walter estimation is incorrect.

No, both 3. 61^2 and 3. 62^2 are greater than 13.

First he checks that is 13 between 3.61 and 3.62.

But suppose he cannot because he wants to use iteration.

Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.

3.61² = 13.0321  and

3.62² =13.1044

We see that when both the numbers are squared then the answer in each case is greater than 13.

Therefore 13 cannot lie as both numbers are greater than 13.

Hence 13 does not lie between 3.61 and 3.62

From the given choices the best choice is  No, both 3. 61^2 and 3. 62^2 are greater than 13.

The iterative can also be understood by the following links.

https://brainly.com/question/5236989

https://brainly.com/question/20275487

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

Learn more about median of a triangle here

https://brainly.com/question/2272632

#SPJ2

Answer:

(2,1)

Step-by-step explanation:

Divide by 3

(6,3)/3 = (2,1)

Answer:

150%

Step-by-step explanation:

I hope this helps

Anser

(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation

Step-by-step explanation:

Answer:

Step-by-step explanation:

When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)

-7/12 divided by 1/7 =

-7/12 multiplied by 7/1=

-49/12

Simplify.

Answer:

7

Step-by-step explanation:

7^2 =49

49 -21 =28

28÷7 = 4

Answer:

x ≈ 54.5°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )