At Heard High School, the probability that a student takes Advanced Weight Training and Advanced Spanish is 0.099. The probabili

Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and

zzz [12365]

Answer:

"Rotation" refers to the action of turning about a central point: The distance from this center to any part of the shape remains constant. Each point traces out a circular path around the center.

Figure 2 was derived from figure 1. Among all the proposed options, those relevant for the transformation being classified as a rotation are:

A) The line connecting the center of rotation, C, to a point in the original image (figure 1) has the same length as the line connecting the center to the corresponding point in the new image (figure 2).

(B) The transformation maintains rigidity.

(C) Every point in figure 1 rotates through an identical angle around the center of rotation, C, to form figure 2.

(E) If figure 1 undergoes a 360° rotation about point C, it will align with itself.

Thus, options A, B, C, and E are valid.

5 1

3 months ago

Read 3 more answers

Which points are on the perpendicular bisector of the given segment? Check all that apply. Please explain how you got your answe

Leona [12618]

Initially, determine the perpendicular bisector equation for the specified line.
This requires both the slope of the perpendicular line and a point.
Step 1: Calculate the slope of the given line segment using the endpoints (10, 15) and (-20, 5), resulting in m=(15-5)/(10-(-20))=1/3
thus, the slope of the perpendicular line is its negative reciprocal, m=-3/1=-3
Step 2: Identify the midpoint as: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
therefore, the equation for the perpendicular line in point-slope form is (y-10)=-3(x+5)

subsequently, substitute the given coordinates into the equation to discern which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, confirming that (-8, 19) is on the perpendicular line.

Examine the other pairs, and you’ll find that (1,-8) and (-5, 10) also satisfy the equation. The point (-5,10) is the midpoint.

4 0

2 months ago

Read 2 more answers

Maximum value of x3y3 + 3 x*y when x+y = 8.

Inessa [12570]

Response:

The outcome is 4144.

Detailed explanation:

We need to determine the peak value of f(x)= $x^{3}y^{3}+3xy$ when $x+y=8$