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3 years ago

Can someone help with this problem please.

Mathematics

1 answer:

mars1129 [50]3 years ago

7 0

X = 19 yards = 57 feet
The ball is 57 feet from the hole.

Explanation:
The distance from the tee to the hole is 181 yards.

Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards

1 yard = 3 feet
x = 19 yards = 57 feet

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Roberto buys 15 balls for 300. how much will you pay for 10 balls?

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Answer:

200

Step-by-step explanation:

300/15

divide cost by number bought

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20 x 10

you will take the price for one ball and multiply it by the number of balls you want to buy

200

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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.

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