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
Nastasia [14]
3 years ago
10

The potential solutions to the radical equation are a = −4 and a = −1. Which statement is true about these solutions? The soluti

on a = −4 is an extraneous solution. The solution a = −1 is an extraneous solution. Both a = −4 and a = −1 are true solutions. Neither a = −4 nor a = −1 are true solutions.
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

Both a = −4 and a = −1 are true solutions

Step-by-step explanation:

Given

\sqrt{a + 5} = a + 3

a = -4; a = -1

Required

The true statement about the solutions

We have:

\sqrt{a + 5} = a + 3

Square both sides

a + 5 = (a + 3)^2

a + 5 =a^2 + 6a + 9

Collect like terms

a^2 + 6a - a + 9 - 5 = 0

a^2 + 5a + 4 = 0

Expand

a^2 + 4a + a + 4 = 0

Factorize

a(a + 4) + 1(a + 4) = 0

Factor out a + 4

(a + 1)(a + 4) = 0

Split:

a + 1 = 0; a + 4 = 0

Solve:

a =-1; a = -4

You might be interested in
Please help me! i really need help​
deff fn [24]

Answer:

24.3

Step-by-step explanation:

because each side is the same. one has 12 inch and the other is 9. So you subtract 9 from 12 and get 3. Then you have to find out what the other mesurment is for the bigger shape, which is 2.7 because 32/12=2.66666, so u round and get 2.7 . so theen you multiply 9 and 2.7 and get 24.3! Hope this helps.

7 0
3 years ago
Help: Scientists think the _____ is a solid iron with a layer of liquid iron surrounding it.
Alex_Xolod [135]
<span>The inner core is made of solid iron, and it is surrounded by the liquid iron of the outer core. It is solid because the extreme pressure at the center of the earth prevents it from melting, despite the unimaginable temperatures.</span>
3 0
3 years ago
(2n + 3)(n – 4) = 0<br> need help asap!!!
Anastaziya [24]
Set each binomial equal to zero to solve. 

2n + 3 = 0
2n = - 3
n = - 3 / 2

n - 4 = 0
n = 4

So n = -3/2, 4


6 0
4 years ago
At Supply World, 4 pens cost $10.00. How much do 3 pens cost if the price per pen is the same?
Romashka-Z-Leto [24]

Answer:

$7.50

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can you guys please help me. i don’t need the explanation i just need the answer
Fittoniya [83]

Answer:

36

Step-by-step explanation:

AOB + BOC = AOC

AOC = 90 since  the lines are perpendicular

6x-12 + 3x+30 = 90

Combine like terms

9x + 18 = 90

Subtract 18 from each side

9x+18-18 = 90-18

9x = 72

divide by 9

9x/9 = 72/9

x = 8

AOB = 6x - 12

         = 6*8 - 12

          = 48 -12

        = 36

5 0
3 years ago
Read 2 more answers
Other questions:
  • This is hard... who knows it?
    7·2 answers
  • What is the explicit rule for the geometric sequence?<br> 500, 100, 20, 4, ...
    13·1 answer
  • I need help on this exercise
    11·1 answer
  • Choose all the numbers that are part of Integers.
    7·2 answers
  • Point D is a fixed point on line PQ such that PD is =DQ, the cordinate of P and Q are (2,3) and (4,7)
    10·1 answer
  • Mowing lawns earns $10.00 for 1 hour and $42.00 for 5 hours. what is the slope
    5·1 answer
  • What is the area of this please
    12·1 answer
  • Hey could anyone help me out it's currently 3:40 am where I am and I am making Ramen and don't know what I'm doing so could you
    12·1 answer
  • Let f(x) = −x2 + ax + b. Determine the constants a and b such that f has a relative maximum at x = 3 and the relative maximum va
    7·1 answer
  • On the most recent math test, Ashley
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!