2 years ago

Please look at the picture

Mathematics

1 answer:

Strike441 [17]2 years ago

6 0

The answer is “1/4” zixhkckvxigdlh kgdogcigdoydogckhxkg

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Find the distance between the two points in simplest radical form. (1, -7) and (7,0)

denis23 [38]

Answer:

The distance between the two given points is equal to √85.

Step-by-step explanation:

Let's recall what the distance formula is:

$\displaystyle \huge\math\boxed{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} }$

We are defined our two points as:

(x₁, y₁) → (1, -7)
(x₂, y₂) → (7, 0)

We can rewrite this into our different "variables":

x₁ = 1
y₁ = -7
x₂ = 7
y₂ = 0

Now given our distance formula and our variables, we can find the distance between the two points:

$\displaystyle\huge\begin{aligned}d & = \sqrt{(1 - 7)^2 + (7 - 0)^2} \\& = \sqrt{(-6)^2 + (7)^2} \\& = \sqrt{36 + 49} \\& = \math\boxed{\sqrt{85}} \\\end{aligned}$

∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.

Hope this helps!

5 0

1 year ago

Read 2 more answers

I don't know how do do these problems

zubka84 [21]

$\bf \begin{array}{ll} term&\stackrel{a(n-1)-3}{value}\\ \cline{1-2} a(1)&-6\\ a(2)&a(2-1)-3\\ &a(1)-3\\ &-6-3\\ &-9 \blacktriangleleft\\ a(3)&a(3-1)-3\\ &a(2)-3\\ &-9-3\\ &-12 \blacktriangleleft\\ a(4)&a(4-1)-3\\ &a(3)-3\\ &-15 \blacktriangleleft\\ a(5)&a(5-1)-3\\ &a(4)-3\\ &-18 \blacktriangleleft \end{array}$