All categories

3 years ago

What is the midpoint of the line segment with the endpoints J(–9, –4) and K(7, 8)? (–5, –1) (–2, 1) (–1, 2) (3, 5)

Mathematics

2 answers:

Burka [1]3 years ago

7 0

The midpoint is kinda the average of the two points,

( (-9 + 7)/2, (-4 + 8)/2 ) = (-1, 2)

Third choice.

andrew11 [14]3 years ago

5 0

Treat the x- and y-coordinates separately.

Between x=-9 and x = 7 are 16 units. Take half of that, which would be 16/2, and add that result (8) to -9. The x-coordinate of the midpoint is then x = -1.

Simillarly:

Between y = -4 and y = 8 are 12 units. Thus, add 12/2 units to y = -4, obtaining y=2 units.

The midpoint of the given line segment is (-1, -4).

Note that you could also average the given x-coordinates to achieve the same result:

xmidpoint = (-9+7)/2 = -1 (same as before).

You might be interested in

Find x helpppppppppppp

lidiya [134]

$|2x - 1| = | - x - 2|$

Thus ;

$2x - 1 = - x - 2$

Add both sides x

$2x + x - 1 = - x + x - 2$

$3x - 1 = - 2$

Add both sides 1

$3x - 1 + 1 = - 2 + 1$

$3x = - 1$

Divide both sides by 3

$\frac{3x}{3} = \frac{ - 1}{3} \\$

$x = - \frac{1}{3} \\$

$2x - 1 = - ( - x - 2)$

$2x - 1 = x + 2$

Subtract both sides x

$2x - x - 1 = x - x + 2$

$x - 1 = 2$

Add both sides 1

$x - 1 + 1 = 2 + 1$

$x = 3$

There u go ...

3 0

2 years ago

What is the value of x? 140 34 56

olga55 [171]

I don’t know what you’re tying to say

3 0

3 years ago

Identify the surface with the given vector equation. r(u, v) = 2 sin(u) i + 5 cos(u) j + v k, 0 ≤ v ≤ 5 plane hyperbolic parabol

olchik [2.2K]

Note that this just produces three parametric equations:

$x(u) = 2 \sin(u)$
$y(u) = 5 \cos(u)$
$z(v) = v$

In the $x-y$ plane, this is just he parametric equation for an ellipse (as a function of u). The z is simply a linear function.

The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.

6 0

3 years ago

I read 1/3 of a book in an hour.<br> How much more of the book will I read in 2 1/5 hours

Verizon [17]

Answer:

Step-by-step explanation:

To find the number of pages of the book in the given hour:

To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.

$\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }$