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chubhunter [2.5K]
3 years ago
15

Make x the subject of the formula a(x-b)=a^2+bx

Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

x = \frac{a(a + b)}{a-b}

Step-by-step explanation:

Step 1: Write out formula

a(x - b) = a² + bx

Step 2: Distribute

ax - ab = a² + bx

Step 3: Add <em>ab</em> to both sides

ax = a² + bx + ab

Step 4: Subtract <em>bx</em> on both sides

ax - bx = a² + ab

Step 5: Factor

x(a - b) = a² + ab

Step 6: Divide (a - b) on both sides

x = \frac{a^{2} + ab}{a-b}

Step 7: Factor

x = \frac{a(a + b)}{a-b}

And we have our final answer!

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What is the next item in the sequence −10,−3,4,11
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▹ Answer

<em>18</em>

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▹ Step-by-Step Explanation

- 10 + 7 = -3

-3 + 7 =4

4 + 7 = 11

11 + 7 = 18

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6 0
3 years ago
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The radius of a circle is 9 M what is the circle's circumference use 3.14 for pi​
MissTica

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

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2 years ago
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HELP ME WITH MATHHH!!!
tatiyna

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Which phrase should be inserted on the line to make a true statement? Use the models to help.
nlexa [21]

Answer:

2/3 = 8/12

Step-by-step explanation:

2/3    vs 8/12

Multiply the left by 4/4 to get common denominators

2/3 *4/4 = 8/12

They are equal

3 0
2 years ago
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Answer with work pls
viktelen [127]

Answer:

50 students

Step-by-step explanation:

Hello!  

To solve this question, we would first need to look at the data. In this data, there are people who chose their favorite sport, and the number of people who chose that response. In order to solve the problem, we would have to find the ratio of how many people choose baseball over the other sports.

By this, we can add the number of students together. 30+10+5+15=60. Out of those 60 students, only 5 people chose baseball.

Since the ratio of the people who chose baseball is 5/60 (meaning that it is a 5/60 % chance someone would pick this sport), we would need to find the amount of people assumed to pick baseball in 600 student survey.

We can make a relationship with these two numbers.

\frac{5}{60} =\frac{x}{600}, since the ratio of the students who chose baseball remain the same.

You can see that the ratio on the denominators just add a zero on the bottom, so the top should add 0 as well, to get 50 for x, what we needed.

You can also solve that relationship by cross multiplication.

5(600)=x(60

3000=60x

50=x

Regardless, the answer is 50 students who would choose baseball in a 600 persons survey.

5 0
2 years ago
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