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1 year ago

Can you help me solve this equation?

Mathematics

1 answer:

dem82 [27]1 year ago

7 0

Sure

Answer:

x = -2

If the steps aren't belong to the lesson that you want, just tell me the lesson title so I can get the answer for you !!!!

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The steps

Multiply all terms by (x-3)(x+3) and cancel:

x(x+3)+2x(x−3)=18

3x2−3x=18(Simplify both sides of the equation)

3x2−3x−18=18−18(Subtract 18 from both sides)

3x2−3x−18=0

3(x+2)(x−3)=0(Factor left side of equation)

x+2=0 or x−3=0(Set factors equal to 0)

x=−2 or x=3

Check answers. (Plug them in to make sure they work.)

x=−2 (Works in original equation)

x=3 (Doesn't work in original equation)

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I need to solve for x

Andrei [34K]

Answer:

x = 10

Step-by-step explanation:

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. The two non-adjacent interior angles opposite the exterior angle are sometimes referred to as remote interior angles.

In the given problem, the exterior angle is < JUV, and its corresponding remote interior angles are < V and < W.

Establish the following equation according to the exterior angle theorem:

< V + < W = < JUV

88° + (5x + 1)° = (14x - 1)°

Solve for x algebraically:

88° + 5x + 1 = 14x - 1

89 + 5x = 14x - 1

89 + 1 + 5x = 14x - 1 + 1

90 + 5x = 14x

90 + 5x - 5x = 14x - 5x

90 = 9x

90/9 = 9x/9

10 = x

Therefore, the value of x = 10.

7 0

2 years ago

The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the expect

Liula [17]

Answer:

After 25 years the population will be:

Australia: 22271200
China: 1580220878
Mexico: 157380127
Zaire: 112794819

Step-by-step explanation:

Growth rate problem that has a growth rate proportional to the population size can be solved using the equation:

P(t) = P₀eʳᵗ

t is your unit of time. It could be days, or hours, or minutes. It changes depending on each problem. In this problem, t is measured in years because you're jumping from 2000 to 2025. Years just makes the most sense to measure that leap in time.

P(t) is the population at time t. An example in this problem could be P(20) would be the population 20 years after the initial count. or maybe P(12) would be the population 12 years after the initial count. or P(0) would be the initial count of the population.