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3 years ago

Find the distance between (-6,0) and (-9,-4)

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

Answer:

5 units

Step-by-step explanation:

$\sqrt{(x2 - x1}^{2} ) + \sqrt{(y2 - y1) {}^{2} }$

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Help finding the missing length

gulaghasi [49]

Answer:

4x2-6x+6

Step-by-step explanation:

(9x2-2x) +(3x-5)+(m) =13x2-5x+1

(13x2-5x+1)-(9x2+x-5)=m

3 0

3 years ago

L :V --> W is a linear transformation. Prove each of the following (a) ker L is a subspace of V. (b) range L is a subspace of

iragen [17]

Answer:

a) Assume that $x,y\in\ker L$ , and $\alpha$ is a scalar (a real or complex number).

First. Let us prove that $\ker L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity. Here, $0_V$ stands for the zero vector of V, and $0_W$ stands for the zero vector of W.

Second. Let us prove that $\alpha x\in\ker L$ . By linearity

$L(\alpha x) = \alpha L(x)=\alpha 0_W=0_W$ .

Then, $\alpha x\in\ker L$ .

Third. Let us prove that $y+ x\in\ker L$ . Again, by linearity

$L(x+y)=L(x)+L(y) = 0_W + 0_W=0_W$ .

And the statement readily follows.

b) Assume that $u$ and $v$ are in range of $L$ . Then, there exist $x,y\in V$ such that $L(x)=u$ and $L(y)=v$ .

First. Let us prove that range of $L$ is not empty. This is easy because $L(0_V)=0_W$ , by linearity.

Second. Let us prove that $\alpha u$ is on the range of $L$ .

$\alpha u = \alpha L(x) = L(\alpha x) = L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)=\alpha u$ . Thus $\alpha u$ is in the range of $L$ .

Third. Let us prove that $u+v$ is in the range of $L$ .

$u+v = L(x)+L(y) = L(x+y)=L(z)$ .

Then, there exist an element $z\in V$ such that $L(z)= u +v$ . Thus $u +v$ is in the range of $L$ .

Notice that in this second part of the problem we used the linearity in the reverse order, compared with the first part of the exercise.

Step-by-step explanation:

6 0

3 years ago

A rounded scoop of ice cream is put onto a cone so that half of it is in the cone.

Len [333]

Answer:

If im not wrong, the correct answer is 752.4cm cube

Step-by-step explanation:

First, we find volume of hemisphere, then find the volume of the cone, once we get those, we add them together and find our final answer. I hope this helps :)

7 0

2 years ago

Can someone please help me with this question I don’t understand it

jonny [76]

Brand A: 32 Diapers, $8.99: about 28 cents per diaper

Brand B: 50 Diapers, $12.49: about 24 cents per diaper

You divide the amount of diapers by the money.

For example, 32 diapers/$8.99 equals about 28 cents per diaper and 50 diapers/$12.49 equals about 24 cents per diaper.

Brand B is the better deal since you save about 4 cents more.

5 0

3 years ago

Mrs. Barker bought some books at a book sale, including 4 paperback books. 20% of all the books she bought were paperback. How m

geniusboy [140]

Answer:

Step-by-step explanation:

Number of paperback books = 4

Percentage of total books that were paperbacks = 20%

Let total number of books = x

Hence,

20% of total books = paperback books

20% of x = 4

0.2 * x = 4

0.2x = 4

0.2x / 0.2 = 4 / 0.2

x = 20

Total number of books = 20

4 0

3 years ago