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damaskus [11]
2 years ago
7

Make x the subject of the formula where x is positive b= x -6 / x + 2

Mathematics
1 answer:
Anna007 [38]2 years ago
8 0

Answer:

b =  \frac{x - 6}{x + 2}  \\ b(x + 2) = x - 6 \\ bx + 2b = x - 6 \\ bx - x =  - 6 - 2b \\ x(b - 1) =  - 2(3 + b) \\ x =  \frac{ - 2(3 + b)}{b - 1}

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Solve for x..........................
Lelechka [254]

Answer:

3

Step-by-step explanation:

If your talking about the x where it says 3x in, then

3x = 9

x = 3

4 0
2 years ago
One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
anzhelika [568]

Answer:

10 cm.

Step-by-step explanation:

We'll begin by calculating the area of the small bubble. This can be obtained as follow:

Radius (r) = 5 cm

Area (A) =?

Since the bubble is circular in nature, we shall use the formula for area of circle to determine the area of the bubble. This is illustrated below:

A = πr²

A = π × 5²

A = 25π cm²

Next, we shall determine the total area of the small bubbles. This can be obtained as follow:

Area of 1 bubble = 25π cm²

Therefore,

Area of 4 bubbles = 4 × 25π cm²

Area of 4 bubbles = 100π cm²

Finally, we shall determine the radius of the large bubble. This can be obtained as follow:

Area of large bubble = total area of small bubbles = 100π cm²

Radius (r) =?

A = πr²

100π = πr²

100 = r²

Take the square root of both side

r = √100

r = 10 cm

Thus, the radius of the large bubble is 10 cm

5 0
2 years ago
What can you say about the marked angles?
Ivahew [28]

the marked angles are complementary → B

All 3 triangles are right with one angle = 90°

the sum of the angles in a triangle = 180°

thus the remaining 2 marked angles sum to 90°, thus are complementary


4 0
2 years ago
Ya'll help me w/slope, please
uranmaximum [27]

I got ECHA... hope it's right:)

4 0
2 years ago
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is t
Basile [38]

Answer:

The yield to maturity is 6.3974%

Step-by-step explanation:

The computation of the yield to maturity is as follows

Given that

NPER = 18 × 2 = 36

PMT = $1,035.25 × 6.50% ÷ 2 = $33.65

PV = $1,035.25

FV = $1,000

The formula is shown below:

=RATE(NPER;PMT;-PV;FV;TYPE)

The present value comes in negative

AFter applying the above formula, the yield to maturity is

= 3.1987% × 2

= 6.3974%

Hence, the yield to maturity is 6.3974%

7 0
2 years ago
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