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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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A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solvi
Nikitich [7]

Answer:

Rewrite the first equation as x = 36 – 3y.

Step-by-step explanation:

x + 3y = 36 (1)

4x + 5y = 9 (2)

Using substitution method

From (1)

x = 36 - 3y

Substitute x = 36 - 3y into (2)

4x + 5y = 9

4(36 - 3y) + 5y = 9

144 - 12y + 5y = 9

- 12y + 5y = 9 - 144

-7y = -135

y = -135 / -7

y = 19.3

There is an error with the second equation, 4x + 5y can not be equal to 9

Nevertheless, the first step when solving by substitution is:

Rewrite the first equation as

x = 36 – 3y.

4 0
3 years ago
the sum of three consecutive integers is 78. What is the value of the smallest of the three integers?
CaHeK987 [17]

Answer:

Step-by-step explanation:

Consecutive integers just means like one after another.

This means that:

First number = x

Second number = x + 1

Third number = x + 2

They've told us that the sum of 3 consecutive integers is 78.

First number + second number + third number = 78

Sub the equations we wrote into the formula above and we get:

x + x + 1 + x + 2 = 78

Gather the like terms.

3x + 3 = 78

Subtract 3 from both sides.

3x = 78-3 = 75

Divide both sides by 3 to solve for x.

x = 75/3 = 25

If you look at the very beginning we said that the first number = x.

Therefore it is 25.

Second number = x + 1 = 26

Third number = x + 2 = 27

8 0
3 years ago
Lorena runs a landscape company. A customer wants her to plant 10 trees, but the trees have to be planted in rows with 4 trees i
alekssr [168]

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5 0
2 years ago
What is the equation of the line that passes through the point (7,-3) and has an undefined slope?
jeka94

Answer:

x=7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Given m|n, find the value of x and y.
galben [10]

We know that m ║ n.

Let's first find the value 'x'.

When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.

This means that (5x + 16)° and (7x + 4)° are equivalent.

Equating them,

5x + 16 = 7x + 4

16 - 4 = 7x - 5x

12 = 2x

x = 12/2

x = 6°

Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.

5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.

7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.

Now let's find the value of 'y'.

If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.

This means that both those angles should add upto 180°.

Using that theory, the following equation can be framed:

(y + 6)°+ (7x + 4)° = 180°

Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.

(y + 6)° + 46° = 180°

y + 6 + 46° = 180

y + 52° = 180°

y = 180° - 52°

y = 128°

Therefore, the values of 'x' and 'y' are 46° and 128° respectively.

Hope it helps. :)

5 0
2 years ago
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