The end points of wx are w (-5,-1) and x (2,6) What is the length of wx

Mathematics

1 answer:

sammy [17]3 years ago

4 0

Answer:

9.90 units (3 s.f.)

Step-by-step explanation:

distance formula

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

Length of WX

$= \sqrt{(2 - ( - 5))^{2} + (6 - ( - 1)^{2} } \\ = \sqrt{(2 + 5)^{2} + (6 + 1)^{2} } \\ = \sqrt{7 ^{2} + 7^{2} } \\ = \sqrt{98} \\ = 9.90 \: units \: (3 \: s.f.)$

You might be interested in

PLEASE HELP!!

inn [45]

You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10

4 0

3 years ago

Please answer !! thanks

irga5000 [103]

No thanks buddy im pretty busy already

5 0

2 years ago

the north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of th

musickatia [10]

Answer:

7,897.30 miles

Step-by-step explanation:

It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.

We also know that the sea floor is below 2.4 miles from the sea level.

It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be

3949 - 2.4 = 3946.6 miles.

On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.

Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be

3949 + 1.7 = 3950.7 miles.

Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.

Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.