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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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Can somebody help me please?!!
lesya692 [45]

Answer:

Step-by-step explanation:

7 0
3 years ago
Find the sum of 46 + 42 + 38 + ... + (-446) + (-450)46+42+38+...+(−446)+(−450)
JulijaS [17]

sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

<u>Step-by-step explanation:</u>

We need to find sum of sequence  : 46 + 42 + 38 + ... + (-446) + (-450)

Given sequence is an AP with following parameters as :

a=46\\d=42-46=-4

So , Let's calculate how many terms are there as :

⇒ a_n=a +(n-1)d

⇒ -450=46 +(n-1)(-4)

⇒ -496=(n-1)(-4)

⇒ \frac{-496}{-4}=n-1

⇒ 124=n-1

⇒ n=125

Sum of an AP is :

⇒ S_n = \frac{n}{2}(2a+(n-1)d)

⇒ S_1_2_5 = \frac{125}{2}(2(46)+(125-1)(-4))

⇒ S_1_2_5 = \frac{125}{2}(-404)

⇒ S_1_2_5 =-25,250

Therefore , sum of sequence Find the sum of 46 + 42 + 38 + ... + (-446) + (-450) is -25,250

3 0
3 years ago
Read 2 more answers
De las soluciones de la siguiente ecuación: x2 + 8x − 30 = 18? Cual es el numero de mayor valor Entre.
vekshin1

Answer:

The correct answer is "x = 4" and "x = -12".

Step-by-step explanation:

The given equation is:

⇒  x^2+8x-30=18

On subtracting "18" from both sides, we get

⇒  x^2+8x-30-18=18-18

⇒  x^2+8x-48=0

On applying factorization, we get

⇒  x^2+12x-4x-48=0

On taking common, we get

⇒  x(x+12)-4(x+12)=0  

⇒  (x-4)(x+12)=0

⇒                 x-4=0

                          x=4

or,

⇒               x+12=0

                         x=-12    

4 0
3 years ago
What is the value of d?
icang [17]

Answer:

d=5

Step-by-step explanation:

7 0
3 years ago
your uncle jim lives in england, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount
Talja [164]

Based on the amount of your monthly bill, if you lived in England, your bill to the nearest hundredth is $185.82

<h3>How to find your bill in pound sterling?</h3>

You have a monthly bill of $304.72. If this was also your bill in England id you stayed there, it would need to be converted to pounds. The way to do this is by using the exchange rate.

If each British Pound is $1.64 U.S. Dollar, then the value of your monthly bill if you lived in England is:

= Monthly bill in dollars / Conversion or exchange rate

= 304.72 / 1.64

= $185.82

Find out more on the exchange rate at brainly.com/question/20332320

#SPJ1

7 0
1 year ago
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