Since X is the midpoint, it bisects the points RS. If MX=XS, and RS is the same as XS, then they are the same. This also follows the Transitive propety (if a=b and b=c, then a=c)

3 0

3 years ago

Three moons are in the same circular orbit around a planet. The moons are each 115,000 kilometers from the surface of the planet

marshall27 [118]

275,000 km
The moons A, B, C form a right triangle with AC forming a hypotenuse with the diameter of the planet and the distance of both moons from the surface. So add A to the surface, plus the diameter of the planet, plus surface to c.
115000+45000+115000 = 275000

7 0

3 years ago

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Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an

lana [24]

Distance between points $\left(x_1,y_1\right)$ and $\left( x_2,y_2 \right)$ is

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

Distance from H to B:

$[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}$ d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.

Distance from Z to B:

$d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}$ units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)

6 0

3 years ago

What is the area of the shaded figure

Olegator [25]

It’s 64. 16 times 4 = 64

7 0

2 years ago