Determine whether is a right triangle for the given vertices. explain. q(7, –10), r(–3, 0), s(9, –8)

Yes, It is a right triangle for the given vertices.

Step-by-step explanation:

Given:

Q(7, –10),

R(–3, 0),

S(9, –8)  

To Find:

determine whether is a rig ht triangle for the given vertices = ?

Solution:

QR=

QR=

QR=

QR=--------------------------(1)

QR=14.142136

RS=

RS=

RS=

RS=---------------------------(2)

RS=14.422205

QS=

QS=

QS=

QS=-------------------------------------(3)

QS=2.828427

According to Pythagorean Theorem,

Substituting the values,

208 = 208

Pythagorean theorem is satisfied. Hence it is a right triangle.

each side has a different length.  

step-by-step explanation:

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere