All categories

3 years ago

Find the distance between each pair of points. Round your answer to the nearest tenth. (-6, -5) and (2, 0)

Mathematics

1 answer:

Anna71 [15]3 years ago

7 0

Answer:

The answer is

<h2>9.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6, -5) and (2, 0)

The distance between them is

$d = \sqrt{ ({ - 6 - 2})^{2} + ({ - 5 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ( { - 5})^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \: \\ = 9.4339811$

We have the final answer as

<h3>9.4 units to the nearest tenth</h3>

Hope this helps you

You might be interested in

List the first 10 multiples for each number 3,4,7

notka56 [123]

Answer:

Step-by-step explanation:

3- 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

4- 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

7- 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

HOPE IT HELPED

3 0

3 years ago

Read 2 more answers

Diagram below shows the curve of a quadratic function

uranmaximum [27]

Answer:

q = -8, k = 2.

r = -6.

Step-by-step explanation:

f(x) = (x - p)^2 + q

This is the vertex form of a quadratic where the vertex is at the point (p, q).

Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.

The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.

So we have:

f(x) = 1/2(x - -2)^2 + q

f(x) = 1/2(x + 2)^2 + q

Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:

0 = 1/2(2 + 2)^2 + q

0 = 1/2*16 + q

0 = 8 + q

q = -8.

Now convert this to standard form to find k:

f(x) = 1/2(x + 2)^2 - 8

f(x) = 1/2(x^2 + 4x + 4) - 8

f(x) = 1/2x^2 + 2x + 2 - 8

f(x) = 1/2x^2 + 2x - 6

So k = 2.

The r is the y coordinate when x = 0.

so r = 1/2(0+2)^2 - 8

= -6.

3 0

3 years ago

Which graph represents y = StartRoot x EndRootWhat is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFrac

romanna [79]

The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3

<h3>What is the graph of the parent function (y)?</h3>

The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.

From the given information,

The domain for the $\mathbf{y=\sqrt{x}}$ is at x ≥ 0,
The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.