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kari74 [83]
3 years ago
7

7B1%7D%7Bb%7D" id="TexFormula1" title="make x the subject of formula in the equation 4a\sqrt{x} =\frac{1}{b}" alt="make x the subject of formula in the equation 4a\sqrt{x} =\frac{1}{b}" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
grigory [225]3 years ago
8 0

Step-by-step explanation:

4a\sqrt{x} = \frac{1}{b} \\\\\sqrt{x} = \frac{1}{4ab}\\\\x=  (\frac{1}{4ab})^{2} \\\\x= \frac{1}{16a^{2}b^{2}  }

kipiarov [429]3 years ago
3 0

Answer: x = (\frac{1}{4ab})^{2}

Step-by-step explanation:

Given:

4a\sqrt{x} = \frac{1}{b}

To make x the subject of the formula means that we want to make x to stand alone , the first thing to do is to multiply through by 1/4a , that is

\sqrt{x} = \frac{1}{4ab}

take the square  of both sides:

x = (\frac{1}{4ab})^{2}

You might be interested in
Write the polynomial equation for -1/5,-1/2,-4​
ycow [4]

Answer:

(5x+1)(2x+1)(x+4)

Step-by-step explanation:

The factored from of a polynomial can be found from the zeros or x-intercepts of the graph.

The x-intercepts here are x= -1/5, x=-1/2 and x= -4. You can find the factors by finding the expression which solves for each value.

Since x = -1/5 then the factor is 5x+1.

Since x = -1/2 then the factor is 2x+1.

Since x = -4 then the factor is x+4.

So the factored form is (5x+1)(2x+1)(x+4).

5 0
3 years ago
Karl cuts a piece of paper into an isosceles right triangle with a perimeter of 27 inches. If the longest side measures 11 inche
Sphinxa [80]

Answer:

Area = 32 square inches

Step-by-step explanation:

It  is given that ,

1). an isosceles right triangle with a perimeter of 27 inches

Then the base and height are equal

2). the longest side measures 11 inches

<u>To find the smaller side</u>

Then sum of other 2 sides = 27 - 11 = 16

Base = height = 16/2 = 8 inches

<u>To find the are of triangle</u>

Area = 1/2 * Base*Height

Base = 8 inches and Height = 8 inches

Area = 1/2 * 8* 8 = 32 square inches


5 0
3 years ago
The triangle shown below has an area of 22 units squared. The height is 4 units. Find the base of the triangle.
Papessa [141]

Answer:

11 units

Step-by-step explanation:

the formula is (1/2)bh

here we have(1/2)b(4)

the area is 22, so (1/2)b(4)=22

plug in 11 and its correct

6 0
3 years ago
Read 2 more answers
I need help solving this expression 8(6b+3)
Tanya [424]
Given ,
8(6b+3) =0
=> 48b+24=0
=> b= -24/48
=> b = -3/4
4 0
3 years ago
Read 2 more answers
The height of a triangle is 8ft greater than the base. The area of the triangle is 136.5 square ft. Find the length of the base
mixer [17]

Answer:

the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

Step-by-step explanation:

Note that the formula for the area of a triangle is A = (1/2)(base)(height).  Let's abbreviate that to A = (1/2)(b)(h).   We are told that h = b + 8.

Then A = 136.5 = (1/2)(b)(b + 8), or

               (after multiplying both sides by 2)

          A = 273 = b^2 + 8b

                which, when put into standard quadratic form, becomes:

b^2 + 8b - 273 = 0

The coefficients of this quadratic are a = 1, b = 8 and c = -273.

Thus, the discriminant is b^2 - 4ac, or 64 - 4(1)(-273) = 1156 = 17^2.

The roots are then

      -8 ± √1156            -8 ± 17

x = --------------------  =  ------------ = 9/2 and -25/2

              2                          2

Only the root 9/2 makes sense here, because measurements of length are positive.

Thus, the base is 9/2 ft and the height is 9/2 + 8, or 25/8, ft.

3 0
4 years ago
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