What is the distance between point (-5,-6) and (-3,-8)

Mathematics

2 answers:

lys-0071 [83]3 years ago

8 0

Answer:

Step-by-step explanation:

Radda [10]3 years ago

5 0

Answer:

$\sqrt{8} \\$

Step-by-step explanation:

First, find the distance between the x values. From -5 to -3, the distance is 2 units. Then find the distance between the y values. From -6 to -8 the distance is 2. Then, use the Pythagorean Theorem to find the distance.

(a^2)+(b^2)=c^2 Where a and b are the distances between the x and y values.

C will be your answer.

(2^2)+(2^2)=c^2.

4+4=c^2

8=c^2

So the answer is the square root of 8.

You might be interested in

The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector

Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

$x^{2}=4py$ (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

$x^{2}=4(6)y=24y$ (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

$(4.5)^{2}=24y$ , solving for y