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3 years ago

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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4 years ago

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Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?

valina [46]

Answer:

No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)

Step-by-step explanation:

The circle centered at the origin that contains the point (0,-4) has equation:

${x}^{2} + {y}^{2} = 16$

If the point (273,2) lies on this circle , then it must satisfy this equation:

${273}^{2} + {2}^{2} = 74533$

Since

$16 \ne74533$

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3 years ago

Factor x square + 10x+25

AysviL [449]

Answer:

(x+5) (x+5)

Step-by-step explanation:

1) You need to find two numbers that multiply to give you 25 but add up to 10.

2) This would be 5 and 5 as 5 times 5 gives you 25. Also, 5 plus 5 gives you 10.

3) to get x square you do x times x.

4) So: (x+5) (x+5)

4 0

3 years ago

11 less than three times a number is the same as 75 less than the product of-1 and the number

algol13

Answer:

Step-by-step explanation:

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3 years ago

Suppose you are a new employee. You notice that each payment option describes a sequence and decide to use rules to help determi

Stella [2.4K]

The iterative rule for each sequence in the table will be to use the slope-intercept form of the equation of a line y=mx+b.

<h3>How to depict the information?</h3>

In this situation, x is the week, and y is the amount paid. Basically, you need to find the slope, represented by m, which is the amount the amount paid increases by each week, and the y-intercept, b, which is the "amount paid" at week 0.

The x-coordinate is the week, and the y coordinate is the amount paid. Because the weeks are incrementing by 1, x2-x1=1.

After that, to complete the rule, you need to find the y-intercept. If the amount paid is 200 on week 1, and the amount paid increases by 50 each week.

Another way to think about it is by plugging your points into the incomplete rule. Let b represent the y-intercept. Plug in the values for week 1 and solve for b.

The calculations to convince your friend that both your rules work are:

m=(y2-y1)/(x2-x1)

(x1,y1)=(1,200)

(x2,y2)=(2,250)

m=(250-200)/(2-1)

=50/1 =50

y=50x+b

200=50(1)+b

200=50+b

b=200-50

b=150

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brainly.com/question/3632175

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2 years ago