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Rashid [163]
4 years ago
7

What is a number expression that equals 68​

Mathematics
1 answer:
icang [17]4 years ago
6 0

4+5

134_75

56.4+6

68/8.7_2+1

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4x+12=0 what is xequal too
Stells [14]

Answer:

3

Step-by-step explanation:

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3 years ago
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Can anyone help solve algebra 2?<br> (4x)^(4/3)
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See picture for solution steps and answer.

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What is the value of x?<br>enter your answer in the box.<br><br>x = _____
DiKsa [7]
Triangle = Equilateral Triangle

Therefore, all sides are equivalent to each other.

WORKING OUT:

5x - 22 = 4x - 10
5x - 4x = - 10 + 22
x = 12

CHECKING USING OTHER EQUATION COMBINATIONS:

4x - 10 = 3x + 2
4x - 3x = 2 + 10
x = 12

5x - 22 = 3x + 2
5x - 3x = 2 + 22
2x = 24
x = 24 / 2
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ANSWER:
x = 12
7 0
3 years ago
Let A be the point (0,a), and B be the point (0,a+b) on the xy-plane. Let P denote a variable point (x,0), where x &gt; 0. Find
olga_2 [115]

Answer:

  x = √(a(a+b))

Step-by-step explanation:

We can also assume a > 0 and b > 0 without loss of generality. (If a and a+b have opposite signs, the maximum angle is 180° at x=0.)

We choose to define tan(α) = -(b+a)/x and tan(β) = -a/x. Then the tangent of ∠APB is ...

  tan(∠APB) = (tan(α) -tan(β))/(1 +tan(α)tan(β))

  = ((-(a+b)/x) -(-a/x))/(1 +(-(a+b)/x)(-a/x))

  = (-bx)/(x^2 +ab +a^2)

This will be maximized when its derivative is zero.

  d(tan(∠APB))/dx = ((x^2 +ab +a^2)(-b) -(-bx)(2x))/(x^2 +ab +a^2)^2

The derivative will be zero when the numerator is zero, so we want ...

  bx^2 -ab^2 -a^2b = 0

  b(x^2 -(a(a+b))) = 0

This has solutions ...

  b = 0

  x = √(a(a+b))

The former case is the degenerate case where ∠APB is 0, and the value of x can be anything.

The latter case is the one of interest:

  x = √(a(a+b)) . . . . . . the geometric mean of A and B rotated to the x-axis.

_____

<em>Comment on the result</em>

This result is validated by experiments using a geometry program. The location of P can be constructed in a few simple steps: Construct a semicircle through the origin and B. Find the intersection point of that semicircle with a line through A parallel to the x-axis. The distance from the origin to that intersection point is x.

3 0
4 years ago
Joan needs to estimate the size of her bedroom so that she can buy enough paint to cover the walls. Two of the walls measure 2.8
labwork [276]

The total area of the room is 37.6376 and the no. of cans required to paint the wall is 3 cans.

The measurement of two of the walls is 2.86 metres and 3.16 metre

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The measurement of the other two walls is 2.86 metres and 3.42 metres

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Area = 2(2.86 × 3.42) = 19.5624 m²

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If one can of paint can cover 15 m², the no. of cans required to paint the bedroom will be

No. of cans = Total area/Area covered by one can of paint

No. of cans = 37.6376/15 = 2.5091 = 3 cans (approx.)

3 0
1 year ago
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