You need to use the distance formula which is - √(x1-x2)^2 + (y1-y2)^2
fill it in with the given points - √(4-2)^2 + (4-3)^2
simplify - √2^2 + 1^2
√4 + 1
√5
so r = √5
hope that helps :)

6 0

3 years ago

Identify the initial value and rate of change for the graph shown

Juliette [100K]

I'm going to have to say C.

8 0

3 years ago

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70 POINTS! ∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the li

madam [21]

Answer:

A'(1, 1); B'(3, 2); C'(1, 2)

Step-by-step explanation:

The original points are A(1,1 ), B(2, 3) and C(2, 1).

Reflecting the triangle across the x-axis will negate every y-coordinate; this maps

(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)

Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps

(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)

Reflecting across the line y=x will negate both the x- and y-coordinates; this maps

(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)

3 0

3 years ago

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Determine the length of side BD in the triangle below. 12 15 13 D B с

Romashka [77]

9514 1404 393

Answer:

BD = 14

Step-by-step explanation:

The Pythagorean theorem can be used to find the lengths of CD and BC.

CD² +12² = 13²

CD = √(169 -144) = √25 = 5

BC² +12² = 15²

BC = √(225 -144) = √81 = 9

The length BD is then ...

BD = BC +CD

BD = 9 + 5 = 14

The length of side BD is 14 units.

7 0

3 years ago