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DaniilM [7]
3 years ago
12

Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
3. Sqrt of 40

4. Sqrt of 148


Distance formula is sqrt of (x-x1)^2+(y-y1)^2

So (-4-2)^2+ (3-5)^2

(-6)^2+(-2)^2

36+4

Sqrt of 40

Do the same process for 4!

Ps don’t forget to keep the square root

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Vesna [10]

Answer:

yes

Step-by-step explanation:

5 0
3 years ago
If the zeros of f(x) are x=-1 and x=2, then the zeros of f(x/2) are
RSB [31]

Answer:

E (-2, 4).

Step-by-step explanation:

(x/2 + 1)(x/2 - 2) = 0

x/2 = -1,  x/2 = 2

x = -2, 4.

The roots will be 2 times the roots of f(x).

6 0
3 years ago
Read 2 more answers
A denotes an mn matrix. Determine whether the statement is true or false. Justify your answer. The row space of AT is the same a
ziro4ka [17]

Answer: true

Step-by-step explanation:

For an m*n matrix, the column space of A will be a space formed by the lineal combination of all the columns of A.

column space = a1*c1 + a2*c2 + ...

                       

where a1, a2, ... are scalars, and c1 is the vector of column 1.

Then we should write:

Column space = a1*(A₁₁, A₂₁, A₃₁, ...) + a2*(A₁₂, A₂₂, A₃₂, ...) + ...

Now, the transpose is defined as:

[At]₁₃ = A₃₁

Here i used the element with subindex 3 and 1, but is the same for every subindex.

Notice that if A is m*n, then [At] is n*m

Now, the row space of [At] will be, same as before.

Row space = b1*r1 + b2*r2 + ...

Where b1, b2, ... are scalars and the r's are the vector of each row.

                   = b1*( [At]₁₁ , [At]₁₂, [At]₁₃, ...) + b2*([At]₂₁, [At]₂₂, [At]₂₃, ...) + ...

Now we replace each term of the transpose by the associated element in the original matrix.

                   = b1*( A₁₁, A₂₁, A₃₁, ...) + b2*(A₂₁, A₂₂, ...) + ....

If we take:

b1 = a1, b2 = a2, b3 = a3, ...

We will have that the row space of [At] is the same as the column space of A.

4 0
2 years ago
Evaluate each expression for the given values of the variables. SHOW ALL WORK
Reika [66]

Answer:

3(2c+d)−d

Distribute:

=(3)(2c)+(3)(d)+−d

=6c+3d+−d

Combine Like Terms:

=6c+3d+−d

=(6c)+(3d+−d)

=6c+2d

=6c+2d

Step-by-step explanation:

3 0
3 years ago
45% of $360 is what as a quantity
Bess [88]
I'm assuming you want to know what 45% of 360 is.....

so you multiply 360 by 0.45 (since 45 is a percent, and to revert it back, you must move the decimal 2 times to the left) and you have your answer...
5 0
3 years ago
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