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patriot [66]
3 years ago
15

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

Mathematics
1 answer:
Dmitry [639]3 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) . . . . . . . <em>parentheses are required</em> 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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Which of the following equations is equivalent to 2/3 x - 1/2 y = 6? 2x - y = 6 2x - y = 36 4x - 3y = 36
boyakko [2]

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

\frac{2}{3}x-\frac{1}{2}y=6

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

\frac{2*6}{3}x-\frac{1*6}{2}y=6*6

\frac{12}{3}x-\frac{6}{2}y=36

3. When you simplify the equation, you obtain the following equivalent equation:

4x-3y=36

5 0
3 years ago
Can someone please help me figure this out, thanks!
AURORKA [14]

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

4 0
3 years ago
Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
What is the slope of the line through the points (1,5) and (-2,-4)?
olasank [31]

Answer:

slope = 3

Step-by-step explanation:

Use the coordinates of the points to determine the slope.

3 0
2 years ago
The sum of two numbers is 11. Their difference is 3. Find the numbers
Mademuasel [1]
The answer is 7 and 4/ 7+4+11 and 7-4=3!
8 0
3 years ago
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