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
Anvisha [2.4K]
3 years ago
6

Which set is closed under subtraction?

Mathematics
2 answers:
ss7ja [257]3 years ago
8 0
The set of rational numbers.
Gemiola [76]3 years ago
7 0

the answer is the set of rational numbers

You might be interested in
LM=9, NR=16, SR=8. Find the perimeter of △SMP.
Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM,  NP = PR = <u>MS</u><u> = 8</u>

Also since LM = MN, MN = 9

From △SRP, SR = RP = <u>PS =  9</u>

Also SR =<u> MP = 8</u>

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

perimeter of △SMP = 25

5 0
3 years ago
HELP! Which triangles are congruent?
kati45 [8]

9514 1404 393

Answer:

  4.  A, B, C, and D

Step-by-step explanation:

Each right triangle has a short leg of 3 units and a long leg of 4 units. They are all congruent by the SAS congruence postulate.

8 0
3 years ago
A circle has the equation 2x²+12x+2y²−16y−150=0.
KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

(x-h)^{2} +(y-k)^{2}=r^{2} (1)

Where (h,k) are the coordinates of the center and r is the radius.

Now, we are given the equation of this circle as follows:

2x^{2}+12x+2y^{2}-16y-150=0 (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

2(x^{2}+6x+y^{2}-8y-75)=0 (3)

Rearranging the equation:

x^{2}+6x+y^{2}-8y=75 (4)

(x^{2}+6x)+(y^{2}-8y)=75 (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of (a\pm b)^{2}=a^{2}\pm+2ab+b^{2}:

<u>For the first parenthesis:</u>

x^{2}+6x+b^{2}

We can rewrite this as:

x^{2}+2(3)x+b^{2}

Hence in this case b=3 and b^{2}=9:

x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}

<u>For the second parenthesis:</u>

y^{2}-8y+b^{2}

We can rewrite this as:

y^{2}-2(4)y+b^{2}

Hence in this case b=-3 and b^{2}=9:

y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}

Then, equation (5) is rewritten as follows:

(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16 (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

(x-3)^{2}+(y-4)^{2}=100 (7)

At this point we have the circle equation in the center radius form (x-h)^{2} +(y-k)^{2}=r^{2}

Hence:

h=-3

k=4

r=\sqrt{100}=10

8 0
3 years ago
WRTH 50 PNTS!
andrew-mc [135]

Answer:

So, Michael completed the proof incorrectly because ∠AKG ≅ ∠AKL  are not congruent because they are not vertically opposite angles.

Step-by-step explanation:

Hope this helps! (:

4 0
2 years ago
Read 2 more answers
What is the value of (4-2)^3-3X4
Mazyrski [523]
<h2>Answer:</h2>

3 x^{4}-8=0

<h2>Given: </h2>

(4-2)^{3}-3 x^{4}

<h2>Step-by-step explanation:</h2>

In this problem, we need to find the value of the given expression for which we need to simplify the given expression.

\Rightarrow(4-2)^{3}-3 x^{4}=0

We need to solve the numbers within the parentheses.

\Rightarrow(2)^{3}-3 x^{4}=0

We can bring the constant one side and variables another side.

\Rightarrow 8=3 x^{4}

Taking fourth root for ‘8’ and ‘3’ will give numbers which are very tough to solve further.

Since, we cannot solve the above equation further. The value of the given equation remains,

\therefore 3 x^{4}-8=0

6 0
3 years ago
Other questions:
  • Please answer quickly, will mark brainlest to first and correct answer!!!!!!!
    11·2 answers
  • there are seven books on the floor. The number of books on the shelf is two more than three times the number of books on the flo
    5·1 answer
  • Solve the equation. <br> ×-9=-6× + 5
    10·2 answers
  • A box of cereal is supposed to weigh 13.8 oz, but it's acceptable for the weight to vary as much as
    15·1 answer
  • A camera flash can create what in a photograph of a person?
    14·1 answer
  • Plz answer the question in the ss
    6·1 answer
  • Identify the property: 15(1) = 15
    9·2 answers
  • Nombre de las figuras que tienen cinco lados​
    7·2 answers
  • It's easy I'm just not I'm my head rn can someone help?
    11·1 answer
  • What is the square root of 64
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!