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4 years ago

What is the distance between point A(-1,3) and B(2,-1)

Mathematics

1 answer:

Oduvanchick [21]4 years ago

6 0

Answer:

sqrt(13)

Step-by-step explanation:

The distance between 2 points is given by

d = sqrt(x2-x1)^2 + (y2-y1) ^2 )

= sqrt((-1-2)^2 + (3-1)^2 )

= sqrt( -3^2 +2^2)

= sqrt(9+4)

= sqrt(13)

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I need help PLEASSEE

nadya68 [22]

We know that perpendicular lines have slopes which are negative inverses of each other. This means that the slope of the line we are going to need to find is 3.

Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is $(y - y_1) = m(x - x_1)$ , where $y_1$ and $x_1$ are the coordinates of a point on the line and m is the slope.

Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1

However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1

This is an answer choice. B, or 3x - y = -1 is the correct answer.

7 0

3 years ago

Solve the equation by factoring. x2+6x-16=0

posledela

Answer:

hi dear, the answer is option D, {-8,2}

4 0

2 years ago

Read 2 more answers

Find a, b , and h so that f(x)= a sin (b(x-h))<br> f(x)=5cosx+2sinx

TiliK225 [7]

$a\sin(b(x-h))=a\sin(bx)\cos(bh)-a\cos(bx)\sin(bh)$

For this to be equivalent to $5\cos x+2\sin x$ , you require $b=1$ and

$\begin{cases}a\cos h=2\\-a\sin h=5\end{cases}$

Dividing the second equation by the first gives

$\dfrac{-a\sin h}{a\cos h}=-\tan h=\dfrac52\implies h=\arctan\left(-\dfrac52\right)=-\arctan\dfrac52$

Meanwhile, you also get

$a\cos\left(-\arctan\dfrac52\right)=2\implies a\cos\left(\arctan\dfrac52\right)=\dfrac{2a}{\sqrt{29}}=2\implies a=\sqrt{29}$

So,

$f(x)=5\cos x+2\sin x=\sqrt{29}\sin\left(x+\arctan\dfrac52\right)$

8 0

3 years ago

Prime Factorization of 63 is 3 x 3 x 7.

valkas [14]

Answer: 9 x 7

Step-by-step explanation: 9 x 7 = 63

Hope this helps!

6 0

3 years ago

(28)/(x)*(4)/(5)+1=22

Vlad1618 [11]

Answer:

I got -8

Step-by-step explanation:

i googled it but check it just incase

4 0

4 years ago