Mathematics, 31.01.2020 05:01 alyssa2157

Find the distance between the points given.

(-3, 0) and (0, √7)

√2
4
√(13)

Answers: 3

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Answer from: gigi239

Step-by-step explanation:

To solve this we are using the distance formula:

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

where

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

We know that the first point is (2, –6), so x_1=-3 and y_1=0 . The second point is (0, √7), so x_2=0 and $y_2=\sqrt{7}$ . Let's replace the values in our formula to find the distance between the points:

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

$d=\sqrt{(0--3)^2+(\sqrt{7}-0)^2 }$

$d=\sqrt{(3)^2+(\sqrt{7})^2 }$

$d=\sqrt{9+7}$

$d=\sqrt{16}$

d=4

We can conclude that the distance between (-3, 0) and (0, √7) is 4.

Answer from: brid7931

The correct answer is 4

Step-by-step explanation:

Distance formula

Let (x₁, y₁) and (x₂, y₂) be the two points, the distance between two points is given by,

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

It is given two points (-3, 0) and (0, √7)

To find the distance

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(0 - - 3)² + (√7 - 0)²]

= √[(0 + 3)² + (√7)²]

=√[(3)² + (√7)²]

= √(9 + 7) = √16 = 4

Therefore the correct answer is 4

Answer from: Quest

answer: -8.2562234e+13

Answer from: Quest

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

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