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pentagon [3]
3 years ago
13

Rearrange the formula y=

" title=" \frac{x + 2}{x - 4} " alt=" \frac{x + 2}{x - 4} " align="absmiddle" class="latex-formula">
to make X the subject
​
Mathematics
2 answers:
Sophie [7]3 years ago
5 0

Answer:

Step-by-step explanation:

y =\frac{x+2}{x-4}\\\\y*(x-4)=x+2\\\\yx-4y = x+ 2\\\\yx-4y-x = 2\\\\yx -x  = 2 +4y\\\\x(y-1)=2+4y\\\\x=\frac{2+4y}{y-1}

Soloha48 [4]3 years ago
5 0

Answer:

x = \frac{2+4y}{y-1}

Step-by-step explanation:

Given

y = \frac{x+2}{x-4} ( multiply both sides by x - 4 )

y(x - 4) = x + 2 ← distribute parenthesis on left side

xy - 4y = x + 2 ( add 4y to both sides )

xy = x + 2 + 4y ( subtract x from both sides )

xy - x = 2 + 4y ← factor out x from each term on the left side

x(y - 1) = 2 + 4y ( divide both sides by y - 1 )

x = \frac{2+4y}{y-1}

You might be interested in
A circle has An area of 36 pi square inches which best represents the circumference of the circle.
kkurt [141]

Answer: 12πins.

Step-by-step explanation:

Since the area if a circle = πr²

From the question

Area of the circle = 36πins²

To find the circumference of the circle, we need to find the common radius of the circle and this could be achieved from the area of the circle given above.

πr² = 36π, solving this gives. Divide through by π

r² = 36

r = +/-√36

= +/-6

Now to find the circumference of the circle, we substitute for r in the formula below.

Circumstances = 2πr

= 2 ×π × 6

= 12πins.

4 0
3 years ago
Antonio runs 5 3/4 miles a day. After 5 days, how many miles has he completed
soldi70 [24.7K]

Step-by-step explanation:

No of miles a day = 5.75 miles

No of miles after 5 days = 5.75 x 5 = 28.75 miles

4 0
3 years ago
Which number sentence shows the correct placement of the decimal point in the product based on the two factors A: 3.48 x 42.37 =
Rzqust [24]

Answer:

A

Step-by-step explanation:

Add the number of decimal places of the two numbers being multiplied to know the number of decimal places of the product.

A: 3.48 x 42.37 = 147.4476

2 decimal places + 2 decimal places = 4 decimal places

Only choice A is correct.

3 0
3 years ago
38. Joey paid for 5 hours of batting lessons in March.
Elodia [21]

Answer:

159.75

Step-by-step explanation:

23.50×5=117.5

117.5+42.25=159.75

3 0
3 years ago
Solve the triangle given two angles and one side.
Rasek [7]

Answer:

a = 102.05

b = 393.76

B = 93°

Step-by-step explanation:

The law of sines tells you ...

a/sin(A) = b/sin(B) = c/sin(C)

Since the sum of angles in a triangle is 180°, angle B must be ...

B = 180° -72° -15° = 93°

and the unknown sides must be ...

a = c/sin(C)·sin(A) = 375·sin(15°)/sin(72°) ≈ 102.05192

B = 93°

b = 375·sin(93°)/sin(72°) ≈ 393.75796

_____

The rounding requirement got cut out of your picture, so we can't help you with that.

3 0
3 years ago
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