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4 years ago

What is the value of q in equation √4q-2=√3q+8

Mathematics

1 answer:

Dmitry [639]4 years ago

6 0

Answer:

q = 10

Step-by-step explanation:

As your equation is written, the radical sign only appies to 4 or 3, so you have ...

(√4)q -2 = (√3)q +8

(2 -√3)q = 10 . . . . . . . . . . . . . . . add 2-(√3)q

q = 10/(2 -√3) ≈ 37.3205... . . . . (an irrational number)

___

We suspect you intend

√(4q -2) = √(3q +8) . . . . . . . parentheses are required for grouping

Square both sides, then add 2-3q.

4q -2 = 3q +8

q = 10

The value of q in the equation √(4q-2) = √(3q+8) is 10.

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Use the following steps to prove that log b(xy)- log bx+ log by.

borishaifa [10]

Answer with Step-by-step explanation:

a. $x=b^p$

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Taking both sides log

$log x=plog b$

Using identity: $logx^y=ylogx$

$p=\frac{logx}{log b}=log_b x$

Using identity: $log_x y=\frac{log y}{log x}$

$log y=qlog b$

$q=\frac{log y}{log b}=log_b y$

b. $xy=b^pb^q$

We know that

$x^a\cdot x^b=x^{a+b}$

Using identity

$xy=b^{p+q}$

c. $log_b(xy)=log_b(b^{p+q})$

$log_b(xy)=(p+q)log_b b$

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$log_b(xy)=(log_b x+log_b y)$

By using $log_b b=1$

Hence, $log_b(xy)=log_b x+log_b y$

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3 years ago

15/23 - 5/23 lets see who can solve

seraphim [82]

Answer:

10/23

Step-by-step explanation:

15/23 - 5/23 = 10/23(Ans)

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3 years ago

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What is the additive inverse of 3? a. -3 b. a+(-a)=0 c. 0 d. -a

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Answer:

A. -3

Step-by-step explanation:

3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

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The following proof shows an equivalent system of equations created from another system of equations. Fill in the missing reason

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Answer:

<h2>A.Multiplication Property of Equality</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+2y=14\\-x+y=5&\text{\underline{multiply both sides by 2}}\end{array}\right\\\\\boxed{\underline{+\left\{\begin{array}{ccc}2x+2y=14\\-2x+2y=10\end{array}\right}}\qquad\text{add both sides of the equations}\\.\qquad\qquad4y=24\qquad\text{divide both sides by 4}\\.\qquad\qquad y=6\\\\\text{put the value of y to the second equation:}\\\\-x+6=5\qquad\text{subtract 6 from both sides}\\-x=-1\qquad\text{change the signs}\\x=1$

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3 years ago

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Brainest for best answer only 5 mins left show your work

Kamila [148]

Answer:

Step-by-step explanation:

Problem One

Perimeter is in meters not square meters. The equation is

2*(6.8+x) + 2*12.5= 47 Remove the brackets. Combine like terms

13.6 + 2x + 25 = 47

38.6 + 2x = 47 Subtract 38.5 from both sides

2x = 47 - 38.6

2x = 8.4 Divide by 2

x = 4.2

Answer D

Problem 2

This problem is asking that you calculate the perimeter of a swimming pool.

The two semicircles on the ends make a whole circle.

The diameter of the semicircles is obtained from the difference of the two given lengths.

The rectangle has a length of 12. The length of the rectangle and the 2 semicircles is 16. The difference is 4. You could divide this by 2 to get the radius. I would just leave it as the diameter.

So the perimeter is pi*d + 2 * 12 [there are 2 lengths]

Perimeter = 4*pi + 24

Perimeter = 12.56 + 24

Perimeter = 36.56

Answer A

Problem 3

This is the circle inside the square.

The radius of the circle = 9

The diameter of the circle and the length of square's side = 2*9 = 18

The area of the square = s^2 where s = 18

The area of the square = 18^2 = 324

The area of the circle = pi * 9^2 = 3.24 * 81 = 251.34

The area of the Shaded area = 324 - 251.34 = 69.66

Answer C

Problem 4

b1 = 5

b2 = 11.5

h = 4.5

Formula

Area = (b1 + b2 ) * 4.5/2

Area = (5 + 11.5) * 4.5 /2

Area = 16.5 * 4.5 / 2

Area = 74.25/2

Area = 37.125

Answer D

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