Solve for the missing side length for the triangle below

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

Answer:

the desired line is y = 3x - 4

Step-by-step explanation:

The slope formula is not needed here.  If the given line is y = 3x - 2, we can see immediately that the slope is 3, in both cases.

Find the y-intercept as follows:

y = mx + b => 5 = 3(3) + b, or b = -4

Then the desired line is y = 3x - 4

Answer: x = 28

Please give Brainliest if this helped you

Step-by-step explanation:

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

Answer:

[tex]\huge\boxed{\sf x = 26}[/tex]

Step-by-step explanation:

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

x=26

The acute angles of a right-angled triangle other than the right angle always add up to 90 degrees.

So, we get:

(48 - x) + (3x - 10) = 90

48 - x + 3x - 10 = 90

-x + 3x - 10 + 48 = 90

2x + 38 = 90

2x = 90 - 38

2x = 52

Divide both sides by 2

x = 52 / 2

x = 26

Hope this helped!

An object at point A moving to point B is displaced in the direction of

r = (5i - 2j) m - (2i + j) m = (3i - 3j) m

(I assume distance is measured in meters)

If the force is F = (10 N) (3i - 4j), then the work performed by F in the direction of r is

F • r = (10 N) (3i - 4j) • (3i - 3j) m = (10 N) (9 + 12) m = 210 J

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

Answer:

4.5 × 10^46

Step-by-step explanation:

(4.8 × 10^19) · (9.47 × 10^26) = 4.5 × 10^46

Step-by-step explanation:

I think the answer is like this

Answer: 325 dollars

Step-by-step explanation:

In order to find out a percentage of somethin, you can simply multiply and divide

[tex]500*65=32500[/tex]

32500÷100= 325

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

Answer:

I believe the answer is 16    Don't get mad if incorrect just trying my best

Answer:

A. 16

Step-by-step explanation:

If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.

Hello there for this problem we can make a proportion

[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is

cross multiply and we get that [tex]8x=144[/tex]

divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars

Answer:

1 drink = 12 ÷ 8

= 1.5

So 12 drink = 12 × 1.5

= 8 dollars

Answer:

Distance (d) = 15

Step-by-step explanation:

The given requires the distance between the point of origin, (0, 0), and (-12, 9). We can use the following distance formula for this problem:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

Let (x₁, y₁) = (0, 0)

     (x₂, y₂) = (-12, 9)

Substitute these values into the distance formula.

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(x_2-x_1)^2\:+\:(y_2-y_1)^2}}[/tex]

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12\:-\:0)^2\:+\:(9-0)^2}}[/tex]

Perform the required subtraction within each parenthesis:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{(-12)^2\:+\:(9)^2}}[/tex]

Next, take the squared values of -12 and 9 under the radical:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{144\:+\:81}}[/tex]

Add 144 and 81:

[tex]\displaystyle\mathsf{Distance(d)=\:\sqrt{225}}[/tex]

Distance (d) = 15

Therefore, the distance between the point of origin and (-12, 9) is 15.

Answer:

Step-by-step explanation:

Slope form: y=mx+b

given slope and x intercept:

y=3x+b

let y=0

0=3(7)+b

b=-21

so:

ANSWER: y=3x-21

Answer:

  36

Step-by-step explanation:

Usually, when we talk about an n-digit number, we mean one that has no leading zeros. If we use all 9 non-zero digits, the single number having increasing digits is ...

  123456789

We cannot swap any digits and have the digits remain in increasing order. The only thing we can do to create different numbers is remove different pairs of digits.

There are 9C2 = 9·8/(2·1) = 36 different ways to choose 2 digits from 9. Thus, there are 36 possible 7-digit numbers with the digits in increasing order.

__

Additional comment

The first few are 1234567, 1234568, 1234569, 1234578, 1234579, 1234589, ...

The number of pennies is an illustration of pattern and sequence.

The number of pennies in the nth square is [tex]2^{n-1[/tex]

From the complete question, we have the following parameters

[tex]f(1) =1[/tex]

[tex]f(2) =2[/tex]

[tex]f(3) =4[/tex]

[tex]f(4) =8[/tex]

Rewrite the functions as follows:

[tex]f(1) = 2^0[/tex]

[tex]f(2) = 2^1[/tex]

[tex]f(3) = 2^2[/tex]

[tex]f(4) = 2^3[/tex]

Express 3 as 4 - 1

[tex]f(4) = 2^{4-1[/tex]

Replace 4 with n

[tex]f(n) = 2^{n-1[/tex]

Hence, the number of pennies in the nth square is [tex]2^{n-1[/tex]

Read more about pattern and sequence at:

https://brainly.com/question/24655254

Answer:

2x+6

Step-by-step explanation:

Perimeter of a rectangle= 2(length + width)

12x+ 4= 2(length + 4x-4)

2(6x+2)= 2(length + 4x-4)

divide both sides by 2

6x+2= length+4x-4

length = 2x +6

Answer:

y = 5x+7

Step-by-step explanation:

Parallel lines have the same slope so y = 5x+9 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 5

The new line will have a slope of 5

y = 5x+b

We know a point on the line (-2,-3)

Substitute this point into the equation

-3 = 5(-2)+b

-3 = -10+b

-3+10 = b

7 = b

y = 5x+7

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

The line parallel to y = 5x + 9 is given in the form of y = mx + c. Here,

The new line will have a y-intercept and a slope of line which is given by y = 5x + b. The point on line is (-2, -3).

Placing this point in the upper equation,

[tex]:\implies\rm{ - 3 = 5( - 2) + b}[/tex]

[tex]:\implies\rm{ - 3 = - 10 + b}[/tex]

[tex]:\implies\rm{ - 3 + 10 = b}[/tex]

[tex]:\implies\rm{7 = b}[/tex]

Placing b = 7 in equation we get,

[tex]:\implies\rm{y = 5x + b}[/tex]

[tex]:\implies\rm{y = 5x + 7}[/tex]

Answer:

its an exponent of 2

Step-by-step explanation:

2

3. = 3 ×2 or 3+3

Answer: we need to know what the equation is

Step-by-step explanation:

Yes it's an account of a person on brainly- they're rank is "expert".

Hope this helped you-have a good day bro cya)

Answer:

There it gose

Step-by-step explanation:

The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

[tex]T_n=ar^{n-1}[/tex]

Substitute the given parameters into the formula:

[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]

Hence the missing number in the table is 1296

Learn more on geometric sequence here; https://brainly.com/question/1509142

Answer:

1296

Step-by-step explanation:

Answer:

A) x=4

B)x=[tex]\sqrt{2}[/tex]+3 or 7.24

Step-by-step explanation:

Answer:

ellipse? x = â’4. 25 and x = 8. 25 x = â’3. 25 and x = 9. 25 y = â’4. 25 and y = 8. 25 y = â’3. 25 and y = 9. 25.

Answer:

it will be 1974

Step-by-step explanation:

2100*6/100

=126

Answer:

1997.08 pounds at the beginning of 6 years.

Step-by-step explanation:

If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.

1st year - 2100*.01 = 21  

2100-21 = 2079

2nd year - 2079*.01 = 20.79

2079 - 20.79 = 2058.21

3rd year - 2058.21*.01 = 20.58

2058.21-20.58 = 2037.63

4th year - 2037.63*.01 = 20.38

2037.63-20.38 = 2017.25

5th year - 2017.25*.01 = 20.17

2017.25 - 20.17 = 1997.08

6th year - at the beginning of the 6th year, it would be worth 1997.08.

At the end of the 6th year, it would be: 1997.08*.01 = 19.97.  1997.08-19.97 = 1977.11