Find the distance between (-4, 6) and (3,7)

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

6 0

Answer:

Since its distance do the distance formula which is d= square root of x2-x1 squared plus y2-y1 squared. Plug in the numbers. in the square root house, it will be (3-(-4)) squared plus (7-6). Since its two negatives....it will be (3+4) squared plus 1 since 7-6=1. Then it will be the square root of 7 squared plus 1. it soon will be the square root of 50. You need to break the 50 apart to a perfect square. So find a perfect number....which have 2 multiples beside itself and 1. So 25 times 2 will be it since 25 is a perfect square. 50 squared equals the square root of 25 times 2. Now break the 25. it will be 5 times the radical of 2.

You might be interested in

What is difactorization

julsineya [31]

Answer:

do u mean factorization?

if so, In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

Step-by-step explanation:

Hope this helps!

3 0

3 years ago

Read 2 more answers

Line segment YV of rectangle YVWX measures 24 units.

oksian1 [2.3K]

Answer: $YX=13.85\ units$

Step-by-step explanation:

<h3> The complete exercise is: "Line segment YV of rectangle YVWX measures 24 units. What is the length of line segment YX?"</h3><h3> The missing figure is attached.</h3>

Since the figure is a rectangle, you know that:

$WV=YX\\\\YV=XW=24$

Notice that the segment YV divides the rectangle into two equal Right triangles.

Knowing the above, you can use the following Trigonometric Identity:

$tan\alpha =\frac{opposite}{adjacent}$

You can identify that:

$\alpha =30\°\\\\opposite=YX\\\\adjacent=YV=24$

Therefore, in order to find the length of the segment YX, you must substitute values into $tan\alpha =\frac{opposite}{adjacent}$ and then you must solve for YX.

You get that this is:

$tan(30\°)=\frac{YX}{24}\\\\(24)(tan(30\°))=YX\\\\YX=13.85$