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Keith_Richards [23]
3 years ago
8

Fill in the blank 8(? +3) =48+24

Mathematics
2 answers:
dem82 [27]3 years ago
5 0

Answer:

6

Step-by-step explanation:

8(6 + 3) =48+24

8(9) = 48+24

72 = 48 + 24

72 = 72

Triss [41]3 years ago
3 0

Answer:

6

Step-by-step explanation:

treat the ? as an x. you need to get it by itself. but first you should distribute the 8.

8x + 24 = 48 +24

8x+24 = 72

take the 24 and subtract it from 72

8x= 48

now divide both sides by 8

x= 6

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Question
Gnoma [55]

Given parameters:

     y varies directly as w;

   This interpreted implies that as y increases, we increases by a certain factor or amount;

    So,  y ∝  w

           y  = kw

   where k is the constant of proportionality

Now, given that y  = 8 and w = 2

Input in the equation to solve for k;

               8 = k x 2

     Solving k gives, k = 4

Now to the second part,

          if v is directly proportional to w;

                v  = k w

        So   v  = 4w

The equation that relates v to w is v = 4w

3 0
3 years ago
R = sec(θ) − 2cos(θ), where -π/2 < θ < π/2
Alex

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

  x = r·cos(θ)

  y = r·sin(θ)

  x² +y² = r²

__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

  r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

  x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor

  y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

  \boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}

__

The attached graph shows the equivalence of the polar and rectangular forms.

4 0
3 years ago
Use the distributive property to create an equivalent expression.<br><br> 7(8j + 4 + 9j)
Scorpion4ik [409]

Answer:

119j+28

Step-by-step explanation:

7(17j+4) Remove the parentheis

distribute 7 through the parentheis  

4 0
3 years ago
4. Add one set of parentheses to make the expression equal
Sauron [17]

The expression that is equal to 2022 by adding a set of parentheses is 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12).

<h3>How to solve a long-expression problem?</h3>

In mathematics, parentheses are used to group a set of mathematical terms. In  a long-expression, like the one presented, using parenthesis implies:

  • The terms in the parentheses are solved separately from those outside the parentheses.
  • The terms in the parentheses are solved before solving those outside.
  • Moving the parentheses will affect the result of the whole expression.

Based on this, the expression that equals 2022 is:

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

<h3>Let's solve it to prove this result</h3><h3 />
  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (12 /12 + 12 / 12)

First, solve the parenthesis first by dividing and then by adding.

  • 12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / (1 + 1)12 x 12 x 12+ 12 x 12+ 12 x 12 + 12 / 2

Now, let's solve this expression, the first step is to solve the multiplications.

  • 1728 + 144 + 144 + 12/2

Now, solve the division.

  • 1728 + 144 + 144 + 6

Finally, add everything.

  • 1728 + 144 + 144 + 6 = 2022

Learn more about mathematics in: brainly.com/question/12083755

7 0
2 years ago
PLEASE HELP ME WITH THIS!!!
I am Lyosha [343]

Answer:

all are showing that y is a function of x

7 0
3 years ago
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