If x>0 and y=0, where is the point (x,y) located?

Simplify. Write your answer in standard form. (4x^3+6x−7)+(3x^3−5x^2−5x+9)

UkoKoshka [18]

answer: 7x^ - 5x^2 + x + 2

step-by-step explanation: i think thats it

3 0

2 years ago

A triangle has two sides of length 18 and 4. What is the smallest possible whole-number length for the third side?

Kobotan [32]

<h3>Answer: 15</h3>

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Explanation:

Let a = 4 and b = 18 be the two known sides of the triangle.

Let c be the remaining side

We'll use a version of the triangle inequality theorem to set up the possible range of values for c.

The range of values for c is determined by the following

b-a < c < b+a

18-4 < c < 18+4

14 < c < 22

Telling us that the third side c is between 14 and 22, excluding both endpoints. This means c = 14 and c = 22 are not allowed. If either value were to happen, then the triangle becomes a single line instead. Try it out with slips of paper.

Because c = 14 is not allowed, we must go to the next whole number up. Therefore, c = 15 is the smallest possible length for the third side, when the third side is a whole number.

If the third side wasn't a whole number, then we could have something like c = 14.1 or c = 14.01 or c = 14.001 or c = 14.0001, and so on. We could steadily get closer and closer to 14, but never actually arrive to it. In short, there is no "smallest third side". This is likely why your teacher is focusing on the whole numbers so there is a smallest value of c possible.

Extra info: As you can probably guess, the largest side possible is c = 21, which is one less than 22. Like above, this is only possible if c is a whole number.

7 0

3 years ago

Another one, surprise, surprise- 14 points :)

antiseptic1488 [7]

I uplоadеd the answеr to a filе hоsting. Herе's link:

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3 0

3 years ago

Can anybody answer this, please? you'll get 27 points.

Savatey [412]

Answer: B

Step-by-step explanation: Since all triangles have angles that add to 180 degrees, add the two known angles and then subtract that from 180.

29 + 108 = 137

180 - 137 = 43

6 0

2 years ago

Read 2 more answers

The given set together with the given operations is not a vector space. list the properties of the definition that fail to hold.

Triss [41]

Let us look at all the axioms of a vector space and see which axioms are broken.
1) Associativity of addition
 $[(1,1)\bigoplus(2,2)]\bigoplus(3,3)=(6,6)$
$[(1,1)\bigoplus[(2,2)]\bigoplus(3,3)]=(6,6)$ 
It's trivial to see this one holds.
2)Commutativity of addition
 $(1,1)\bigoplus(2,2)=(2,2)\bigoplus(1,1)=(3,3)$
This one holds.
3)Identity element of addition
This means that we have zero vektor. It is pretty obvious we do, it is (0,0).
 $(a,b)\bigoplus(0,0)=(a,b)$
4)Inverse elements of addition
This means that for each element in V there exists element -v such that v+(-v)=0.
We do have inverse elements.
$(a,b)\bigoplus(-a,-b)=(a-a,b-b)=0$
5)Compatibility of scalar multiplication with field multiplication
This one holds.
$a[b(c,d)]=ab(c,d)$
6)Identity element of scalar multiplication
Identity element of scalar multiplication is simply 1.
$1\cdot (a,b)=(a,1\cdot b)=(a,b)$
7)Distributivity of scalar multiplication with respect to vector addition. Let's look at the definition.
$a[(b,c)\bigoplus(d,e)]=a(b,c)\bigoplus a(d,e)$
Now let's look at the example:
$a[(1,1)\bigoplus(2,2)]=a(3,3)=(3,3a)$
$a(1,1)\bigoplus a(2,2)=(1,1a)\bigoplus(2,2a)=(3,3a)$
This one hold too.
8)Distributivity of scalar multiplication with respect to field addition
Definition of this one is:
$(a+b)(c,d)=a(c,d)+b(c,d)$
Let's take a look at the example:
$(3+2)(1,2)=5(1,2)=(1,10)$
$(3+2)(1,2)=3(1,2)+2(1,2)=(1,6)+(1,4)=(2,10)$
So this one doesn't hold.
The final answer would be distributivity of scalar multiplication with respect to field addition.
Please note vectors, in this case, are (a,b) and that I did not use the dot to indicate scalar multiplication.

8 0

3 years ago