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PLEASE HELP

Use the distance formula to
find the length of line segment
JP. If your answer turns out to
be a square root that does not
equal a whole number, estimate
it to one decimal place.
J(-2,4) TY
D(4,4)
P(3,-2)
X

PLEASE HELP Use the distance formula to find the length of line segment JP. If your-example-1
User BNd
by
8.3k points

2 Answers

6 votes
To find the length of line segment JP, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we have:
J(-2, 4) and P(3, -2)
So:
d = sqrt((3 - (-2))^2 + (-2 - 4)^2)
= sqrt(5^2 + (-6)^2)
= sqrt(25 + 36)
= sqrt(61)
≈ 7.8
Therefore, the length of line segment JP is approximately 7.8 units.
User VRoxa
by
7.9k points
1 vote

Answer:


\begin{aligned}d(J, P) &= √(61) \\ &\approx 7.8 \end{aligned}

Explanation:

The distance formula is:


d(A, B) = √((x_2 - x_1)^2 + (y_2 - y_1)^2)

where
A = (x_1, y_1) and
B = (x_2, y_2).

From the given graph, we can identify the following coordinates for
A and
B:


A = J = (-2, 4)


B = P = (3, -2)

From these coordinates, we can assign the following variables values:


x_1 = -2,
y_1 = 4


x_2 = 3,
y_2 = -2

Plugging these values into the distance formula:


d(J, P) = √((3 - (-2))^2 + (-2 - 4)^2)


d(J, P) = √((3 + 2)^2 + (-6)^2)


d(J, P) = √(5^2 + (-6)^2)


d(J, P) = √(25 + 36)


\boxed{ \begin{aligned}d(J, P) &= √(61) \\ &\approx 7.8 \end{aligned}}

User Edo Akse
by
7.7k points
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