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
Sauron [17]
3 years ago
10

Which point is part of the solution of the inequality y<=|x+4|-3

Mathematics
1 answer:
Whitepunk [10]3 years ago
3 0
<h2>Hello!</h2>

The answer is: The point (0,0) is part of the solution.

<h2>Why?</h2>

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

y\leq |x+4|-3

So, evaluating we have:

- First point (-2,1)

y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

You might be interested in
Is this figure a quadrilateral?
choli [55]

Answer:

Yes its a quadrilateral

Step-by-step explanation:

It has 4 sides

8 0
2 years ago
Read 2 more answers
I need help please.
Greeley [361]
Answer is C).

One way to find the answer is to multiply the $54 by .30 (which is 30%converted to a decimal). Doing this will give you what 30% of $54 is.
This gives you 16.2
Since the question is asking what 30% off the price is, subtract the 16.2 from the $54.
5 0
3 years ago
NEED HELP ASAP
Stels [109]
<span>9,    12,    19,    30,    ...

</span>formula for the nth term is;

<span>2n^2 + 3n - 10</span>
6 0
3 years ago
Find the midpoint of the line segment with the given endpoints<br> (4,-6), (9, 6)
kotegsom [21]

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

4 0
2 years ago
Points A B C D and E are collinear and in that order. Find AC if AE=x+50 and CE=x+32
Lana71 [14]

Answer:

18

Step-by-step explanation:

Points A B C D and E are collinear.

\therefore AE = AC + CE\\\therefore AC = AE - CE\\\therefore AC = x + 50 - (x + 32) \\\therefore AC = x + 50 - x - 32 \\\therefore AC =  50 - 32 \\ \huge \red{ \boxed{\therefore AC = 18}}

3 0
3 years ago
Other questions:
  • 2,000 pencils are being divided into packages of 15. How many pencils will be left over?
    11·2 answers
  • Which is a pair of vertical angles?
    7·2 answers
  • What is 3.56 x 10^-5 in standard form?
    10·1 answer
  • Need help solving for X
    7·1 answer
  • Which of the following statements is not​ true? A. If the probability of an event occurring is​ 0, then it is impossible for tha
    5·1 answer
  • According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume
    10·1 answer
  • HELP THIS IS THE LAST ONE I HOPE..​
    12·2 answers
  • Pls help me with this
    10·2 answers
  • Help me plsssss ajdasbvhaldjfghaldkjfgh
    11·1 answer
  • AB is a straight line workout the size of angle X
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!