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4 years ago

Single variable linear equation that has one solution

Mathematics

1 answer:

Tcecarenko [31]4 years ago

3 0

Is the variable segment negative or positive determining for the answer

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1. a triangle has the base of 5/3x and the height of x how do i work this equation

sashaice [31]

Answer:

Area = 5/6 * x^2

Step-by-step explanation:

If you are given the base and height of a certain triangle, you will most likely be asked to find the area

The area of any triangle can be found by

Area = base*height * (1/2)

In your case

Area = (5/3)*x*x* (1/2) = 5/6 * x^2

In your case, x should be a known parameter of your triangle, so if you have the value of the height, you should be able to find the area. Or conversely, if you have the area, you can find the length and height of your triangle.

3 0

4 years ago

Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

The sum of 13 and twice a number

Setler79 [48]

This would be 13+2x because if x is the number, then 2 times it would be 2x and the sum means addition so it would be 13+2x

7 0

4 years ago

$280 is what percent of $3500?

professor190 [17]

Divide then multiply by 100:

280 / 3500 = 0.08

0.08 x 100 = 8%

Answer: 8%

6 0

3 years ago

Read 2 more answers

Which value of X makes the quotient of (5x^5+90x^2-135x)/(x+3) undefined

faust18 [17]

Answer:

b) - 3

Step-by-step explanation:

If x = -3 , then

x + 3 = -3 + 3 = 0

So, denominator would become 0. So , anything divided by 0 is undefined

3 0

3 years ago