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LUCKY_DIMON [66]
3 years ago
11

Solve for x x/6 = 12

Mathematics
1 answer:
Delvig [45]3 years ago
4 0

The answer fam is................. x=72

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Consider the following equation. 9x2 − y2 = 6 (a) Find y' by implicit differentiation. y' = (b) Solve the equation explicitly fo
qaws [65]

Answer:

Step-by-step explanation:

Given is an equation in x and y as

9x^2 - y^2 = 6

We use implicit method to differentiate the above equation

18x-2yy'=0

y' = 9x/y

b) to solve the equation explicitly for y and differentiate to get y' in terms of x. y' = ±

We separate the variables as

yy' =9x\\\frac{y^2}{2} =\frac{9x^2}{2} +C\\y^2 =9x^2+2C

Take square root

y=\sqrt{9x^2+2C} \\y=-\sqrt{9x^2+2C}

6 0
3 years ago
Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
What is the length of segment TR?
Anton [14]

Answer:

8 units

Step-by-step explanation:

4 0
3 years ago
Find the ratios of 8 and 3 of the perimeters and of the areas ? please some one help me
vagabundo [1.1K]
I don't get what you are asking, please elaborate?
6 0
3 years ago
Which table represents a linear function?
zloy xaker [14]

Answer: 4th table

Step-by-step explanation:

Each time x increases by 1, y increases by 2. Since there is a constant increase in y for each time x increases by 1, the table represents a linear function.

4 0
2 years ago
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