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3 years ago

Can somebody help me with my geometry?

Mathematics

1 answer:

ahrayia [7]3 years ago

3 0

The slope of AC is -0.4

Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)

Thus triangles ABC and DBE are similar in the ratio 2:1

Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)

If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4

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There are 5 red marbles and 12 silver marbles in a bag. You randomly choose one of the marbles. What is the probability of choos

AleksandrR [38]

So we know there are 5 red and 12 silver marbles, together making 16 marbles.

This would mean that there is a 5/17 chance of choosing a red marble.

When you do the math to convert 5/17 into a decimal, it turns into being a .29 chance.

Convert .29 into a decimal, and you know that you have a 29% chance of grabbing a red marble.

Hope this helped!

- Kathryn Irene

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3 years ago

4. Tori bought x shares of Mattel stock for m dollars per share. She sold

faust18 [17]

Answer:

mx = y

y = mx

Step-by-step explanation:

If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.

mx = y

y = mx

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3 years ago

Solve the quadractic equation 3x^2-5x-7=0

finlep [7]

Answer:

2.113 and -0.446

Step-by-step explanation:

you have to use the formula x=-(b)+ or - the sqaure root of (b) squared-4 (a)(c) all over 2 (a).

5 0

1 year ago

Help me please ASAP!

Goryan [66]

Probably graph W.....

3 0

3 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