1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Advocard [28]
2 years ago
8

Simplify. 1: if y>02: if y<0

%5Csqrt%7B16y%5E2%7D" id="TexFormula1" title="1): -15\sqrt{y^2}\\2): -\sqrt{16y^2}" alt="1): -15\sqrt{y^2}\\2): -\sqrt{16y^2}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Kruka [31]2 years ago
7 0

In general, √(y²) = |y|, since y can be positive or negative and y² would have the same value either way.

So,

1) if y > 0, then |y| = y, and

-15√(y²) = -15 |y| = -15y

2) if y < 0, then |y| = -y, and

-√(16y²) = -|4y| = -|4| |y| = -4 (-y) = 4y

You might be interested in
Select all the correct answers.
fenix001 [56]

The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>

In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.

Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:

f'(x) = - 2 · cos (x - 1 + 4) + 3

f'(x) = - 2 · cos (x + 3) + 3     (1)

Now we apply a reflection over the x-axis:

g(x) = - [- 2 · cos (x + 3) + 3]

g(x) = 2 · cos (x + 3) - 3

Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

To learn more on rigid transformations: brainly.com/question/1761538

#SPJ1

4 0
2 years ago
Please help!! ALgebra 2 <br> I will be h=giving out extra points the the brainiest answers
Arte-miy333 [17]

Answer:

B

Step by Step Explanation

4 0
3 years ago
7. What is the force of tension in a rope that spins a 250 g object in a vertical circle with a radius of 50 cm if the
Phantasy [73]
Subtract 250-50 which equals 200 and then multiply it by 3 which is 600
4 0
3 years ago
-10k+1=40-7k<br><br><br> Please show work
luda_lava [24]
Hope this help :-) in the picture u going to see the steps. The answer is 13

6 0
3 years ago
In a direct variation, y = 12 when x = 3. Write a direct variation equation
lbvjy [14]

Answer:

fourth one

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Write an algebraic expression To Represent the Pay in dollars For Working "x" hours at a rate of eight dollars and seventy-Five
    6·1 answer
  • How do you graph 1/3 on a number line
    13·1 answer
  • What launch song must a deposit at a 10% annually interest rate compounded annually in order to have $60,000 in the fund at the
    5·2 answers
  • Y = 6x − 4
    7·1 answer
  • 2cm 4cm 3.5cm volume of triangular prisms
    11·1 answer
  • Dan bought nineposters a week later half of the posters were destroyed in a fire there are now only 14 posters left how many did
    13·1 answer
  • A class of 30 swim team members took a lifesaving test. Eighteen of the members had an average score of 92 points. The remaining
    10·2 answers
  • What is the surface area of the following prism?
    10·1 answer
  • A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Chris chooses a marble at random, and without putting it back,
    5·1 answer
  • Image is(-6,-4) what is the pre image
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!