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andreev551 [17]
3 years ago
7

Brainliest for whoever gets this right!

Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

Answer:

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

Step-by-step explanation:

So we want to make x the subject of the formula:

a(x-b)=a^2+bx

First, distribute the left side:

a(x)-a(b)=a^2+bx\\ax-ab=a^2+bx

Combine all the terms with x with it on one side. To do this, first subtract bx from both sides. The right side cancels:

(ax-ab)-bx=(a^2+bx)-bx\\ax-ab-bx=a^2

Remove the -ab from the left. Add ab to both sides. The left side cancels:

(ax-ab-bx)+ab=a^2+ab\\ax-bx=a^2+ab

Now, distribute out the x from the left side:

ax-bx=a^2+ab\\x(a-b)=a^2+ab

Divide both sides by (a-b). The left side cancels:

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

Therefore:

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

Alex17521 [72]3 years ago
5 0

Answer:

Step-by-step explanation:

ax -ab = + bx

collect like terms

ax-bx= +ab

factorise

x(a-b)=a(a+b)

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

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Answer:

169π

Step-by-step explanation:

3 0
2 years ago
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In the expansion (ax+by)^7, the coefficients of the first two terms are 128 and -224, respectively. Find the values of a and b
madam [21]

Answer:

a = 2, b = 3.5

Step-by-step explanation:

Expanding (ax+by)^7 using Binomial expansion, we have that:

(ax+by)^7 =

(ax)^7(by)^0 + (ax)^6(by)^1 + (ax)^5(by)^2 + (ax)^4(by)^3 + (ax)^3(by)^4 + (ax)^2(by)^5 + (ax)^1(by)^6 + (ax)^0(by)^7

= (a)^7(x)^7+ (a)^6(x)^6(b)(y) + (a)^5(x)^5(b)^2(y)^2 + (a)^4(x)^4(b)^3(y)^3 + (a)^3(x)^3(b)^4(y)^4 + (a)^2(x)^2(b)^5(y)^5 + (a)(x)(b)^6(y)^6 + (b)^7(y)^7\\\\\\= (a)^7(x)^7+ (a)^6(b)(x)^6(y) + (a)^5(b)^2(x)^5(y)^2 + (a)^4(b)^3(x)^4(y)^3 + (a)^3(b)^4(x)^3(y)^4 + (a)^2(b)^5(x)^2(y)^5 + (a)(b)^6(x)(y)^6 + (b)^7(y)^7

We have that the coefficients of the first two terms are 128 and -224.

For the first term:

=> a^7 = 128

=> a = \sqrt[7]{128}\\ \\\\a = 2

For the second term:

a^6b = -224

b = \frac{-224}{a^6}

b = \frac{-224}{2^6} \\\\\\b = \frac{-224}{64} \\\\\\b = 3.5

Therefore, a = 2, b = 3.5

5 0
3 years ago
Anyone please help please
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I would say A,C,and D
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Gregory predicts that 310 people will attend the spring play. And there was an actual total of 220 people who attended the sprin
rodikova [14]
310 - 220 = 90
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9000 = 310x
9000/310 = x
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3 years ago
The perimeter of a rectangular garden is 338 m.
Natasha_Volkova [10]

Answer:

l=95

Step-by-step explanation:

Perimeter is all the sides add up. So the equation if you know two of the sides, it should be: 338=(2*74)+(2*l)

5 0
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