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
sergij07 [2.7K]
3 years ago
15

Solve the equation and justify each step:

20%3D%20%20-%2028" id="TexFormula1" title=" (x + 3)^{2} + 5 = - 28" alt=" (x + 3)^{2} + 5 = - 28" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

x=i√33−3,−i√33−3

hope this helps :)

Step-by-step explanation:

Subtract 5 from both sides of the equation.

(x+3)2=−28−

5 Subtract 5 from −28.

(x+3)2=−33

Take the square root of both sides of the equation to eliminate the exponent on the left side.

x+3=±√−33

Simplify the right side of the equation.

x+3=±i√33

The complete solution is the result of both the positive and negative portions of the solution.

x=i√33−3,− i√33 −3

You might be interested in
John is trying to drain a swimming pool. He has two pumps, but he can only use one at a time. He knows that the time a pump take
a_sh-v [17]
It would take 6 \frac{1}{4} hours or 6.25 hours if John uses the 100 watt pump.
8 0
3 years ago
Read 2 more answers
Anna is looking for a new part-time job. They respond to a classified ad for
Veronika [31]

Answer: $2,393.42

Step-by-step explanation:

I suppose that the salary is yearly.

So in one year, 365 days, the net pay would be $62,400.

Now, "by-weekly" refers to two weeks or 14 days.

If she gets paid $62,400 in 365 days.

Then in 14 she gets paid.

N = (14/365)*$62,400 = $2,393.42

3 0
3 years ago
Solve the simultaneous equations<br><br> 3x + 2y = 30<br> 3x - y = 21
Mrac [35]

Answer:

x = 8 , y = 3

Step-by-step explanation:

3x + 2y = 30

3x - y = 21      -> y = 3x - 21

3x + 2 (3x - 21) = 30

3x + 6x - 42 = 30

3x + 6x = 30 + 42

9x = 72

x = 72/9 = 8

y = 3*8 - 21 = 24 - 21 = 3

∴ x = 8 & y = 3

3 0
3 years ago
Ming plays video games online. When he signed up with the game site, Ming got 200200 points. Ming earns 2020 more points for eac
larisa86 [58]

It will take 148\frac{67}{101} hours (In decimal form its 148.66336633)


500500-200200=300300

300300÷2020=148.66336633

6 0
3 years ago
A rhombus has coordinates A(-6, 3), B(-4, 4), C(-2, 3), and D(-4, 2). What are the coordinates of rhombus A′B′C′D′ after a 90° c
Liula [17]

We are given that the coordinates of the vertices of the rhombus are:
<span><span>A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)

To solve this problem, we must plot this on a graphing paper or graphing calculator to clearly see the movement of the graph. If we transform this by doing a counterclockwise rotation, then the result would be:
</span>A(-6, -3)</span>
B(-4, -4)
C(-2, -3)
D(-4, -2)

 

And the final transformation is translation by 3 units left and 2 units down. This can still be clearly solved by actually graphing the plot. The result of this transformation would be:

<span>A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)</span>

7 0
3 years ago
Read 2 more answers
Other questions:
  • Fenton is building a model of a living room. The model sofa is 16 inches long and 7 inches deep. The real sofa's dimensions are
    10·1 answer
  • if a model airplane is built at a scale of 1 inch to 6 feet. If the plane is 8 inches long how many feet is the airplane?
    10·1 answer
  • gwen was cutting out some fabric for a friend she cut a piece yhat was 5 centimeters wide and 4 centimeters long what is the per
    10·2 answers
  • What is 2+2? im really stuck on this one and cant figure it out!
    8·1 answer
  • Write a sentence about different ways to show subtraction for a problem like 32-15
    8·2 answers
  • What is 688.26 rounded to the nearest tenth?
    8·1 answer
  • Todd orders pictures from a photographer. Each picture cost $7.50 a one time shipping fee of $3.25 is added to the cost of the o
    5·1 answer
  • PLZ HELP WILL GIVE BRAINLIST IF CORRECT: Mamadou answered 77 questions correctly on his multiple choice math final that had a to
    15·2 answers
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. PLEASE ANSWER THIS QUESTION RIGHT
    7·1 answer
  • Which president proposed the creation of the Environmental Protection Agency ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!