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gayaneshka [121]
3 years ago
14

If 9/a = 7/a², then a=?

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer:

x = 7/9

Step-by-step explanation:

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Someone help me out please
uysha [10]

1 step (B): raise both sides of the equation to the power of 2.

(\sqrt{x+3}-\sqrt{2x-1})^2=(-2)^2,\\   (x+3)-2\sqrt{x+3}\cdot \sqrt{2x-1}+(2x-1)=4,\\ 3x+2-2\sqrt{x+3}\cdot \sqrt{2x-1}=4.

2 step (A): simplify to obtain the final radical term on one side of the equation.

-2\sqrt{x+3}\cdot \sqrt{2x-1}=4-3x-2,\\ -2\sqrt{x+3}\cdot \sqrt{2x-1}=2-3x,\\ 2\sqrt{x+3}\cdot \sqrt{2x-1}=3x-2.

3 step (F): raise both sides of the equation to the power of 2 again.

(2\sqrt{x+3}\cdot \sqrt{2x-1})^2=(3x-2)^2,\\ 4(x+3)(2x-1)=(3x-2)^2.

4 step (E): simplify to get a quadratic equation.

4(2x^2-x+6x-3)=(3x)^2-2\cdot 3x\cdot 2+2^2,\\ 8x^2+20x-12=9x^2-12x+4,\\ x^2-32x+16=0.

5 step (D): use the quadratic formula to find the values of x.

D=(-32)^2-4\cdot 16=1024-64=960, \\ \sqrt{D} =8\sqrt{5} ,\\ x_{1,2}=\dfrac{32\pm 8\sqrt{5}}{2} =16\pm 4\sqrt{5}.

6 step (C): apply the zero product rule.

x^2-32x+16=(x-16-4\sqrt{5}) (x-16+4\sqrt{5}) ,\\ (x-16-4\sqrt{5}) (x-16+4\sqrt{5}) =0,\\ x_1=16+4\sqrt{5} ,x_2=16-4\sqrt{5}.

Additional 7 step: check these solutions, substituting into the initial equation.

3 0
3 years ago
The two triangles are similar. What is the value of x? Enter your answer in the box.
ra1l [238]

Just took the test and got the the correct answer *\(♡°▽°♡)/*

Look at the image down below!!


5 0
2 years ago
Read 2 more answers
You have the numbers 1–24 written on slips of paper.If you choose one slip at random, what is the probability that you will not
ollegr [7]
The numbers that are divisible by 3 are:

3, 6, 9, 12, 15, 18, 21, 24
that is 8 numbers divisible by 3

24-8=16 numbers NOT divisible by 3

so the probability of not picking a number divisible by 3 is 16/24


hope this helps and is right :)
3 0
3 years ago
Read 2 more answers
What is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Paul [167]

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

6 0
2 years ago
A caterer prepared a turkey that weighed 22 1/2 pounds.Each serving of the turkey will be 1/3 pound.How many whole servings will
AlladinOne [14]
1/2 1/2 1/2 1/3
1 \times 2 = 3
8 0
3 years ago
Read 2 more answers
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