Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)

Mathematics

1 answer:

iris [78.8K]3 years ago

7 0

Answer:

$=\left(-5,\:-\frac{5}{2}\right)$

Step-by-step explanation:

$\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)$

You might be interested in

XVerify the identity. (7 points) cos 4u = cos22u - sin22u

Alexandra [31]

Answer:

cos 4u = co^s2 2u - sin^2 2u

Step-by-step explanation:

cos 4u = co^s2 2u - sin^2 2u

Let 4u = 2x

cos 2x = cos^2 x - sin^ 2 x

cos (x+x) = cos^2 x - sin^ 2 x

Using cos(x+y) = cos(x)cos(y) -sin(x)sin(y)

cos(x) cos(x)- sin(x) sin (x)= cos^2 x - sin^ 2 x

cos^2 (x) -sin^2 (x) =cos^2 x - sin^ 2 x

Since this is true

cos 2x = cos^2 x - sin^ 2 x

This is true

Substituting 4u back for 2x

cos 4u = co^s2 2u - sin^2 2u

This is true

5 0

3 years ago

Which of the following statements best describes the location of −(−2) on a number line?

NeTakaya

The answer is A because the negative on the outside if the parentheses cancels out the negative on the inside of the parentheses making it a positive and there is no other point given so it would be 2 units to the right if 0

3 0

3 years ago

Read 2 more answers

g For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction trace

tamaranim1 [39]

Answer:

a) See the file below, b) $s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx$ , c) $s \approx 9.715$