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alexdok [17]
3 years ago
13

Find the distance between A and B.

Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

\sqrt{34}  units

Step-by-step explanation:

A = (-4,-1)

B = (1,2)

distance between 2 points:

d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1} )^{2}}\\\\d=\sqrt{(1-(-4))^{2}+(2-(-1))^{2}}\\ \\d=\sqrt{(5)^{2}+(3)^{2}}\\\\d=\sqrt{34}

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How many different phone numbers are possible in the area code 503, if the first number cannot start with a 0 or 1
ElenaW [278]

Answer:

8 X 10^(9)

Step-by-step explanation:

Originally we have 10 digit phone numbers excluding the area code.

For each face value we have these in store: 0,1,2,3,4,5,6,7,8,9 (total 10)

But if we exclude 1 and 0 for the first digit, we are left with 8 digits.

8P1 X .......

In a phone number, digits can repeat so we can choose out of these 10 numbers freely after this.

8P1 X 10P1 X 10P1 X...

Adding the area code while assuming 10P1 is just 10...we get:

1 X 1 X 1 X 8 X 10^(9)

= 8000000000

Very interesting question, thanks for the opportunity!

7 0
3 years ago
Read 2 more answers
Can somebody HELP me as soon as possible.
Butoxors [25]

Answer:

A: Linear

B: Nonlinear

C: Linear

4 0
2 years ago
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A plane intersects this rectangular prism perpendicular to the prism’s base.
Alexandra [31]
A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)
4 0
3 years ago
Are the equations 3x=−9 and 4x=−12 equivalent? Explain.<br> yes they are
My name is Ann [436]

Step-by-step explanation:

Yes they are equivalent. You get -3 when you try solving the actual equation.

5 0
2 years ago
A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?
morpeh [17]

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the  average of the numbers at the endpoints.

It is given by:    M = \frac{a+s}{2} +(\frac{b+t}{2})i

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i  and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i     [Apply Mid-point formula]

On comparing both sides

we get;

-1 = \frac{-5+s}{2}  and  1 = \frac{-7+t}{2}

To solve for s:

-1 = \frac{-5+s}{2}

or

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

1 = \frac{-7+t}{2}

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

or

t =9

Therefore, the other end point (s+ti) is, 3+9i




4 0
3 years ago
Read 2 more answers
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