Reading the question carefully, "<span>He draws the diameter of the circle through center P using a straight edge. Next he opens his compass to a width equivalent to the radius of the circle." - that implies that Mateo is still in the process of drawing the circle by which the equilateral is inscribed to.
The next steps should be:
*He should draw the upper and lower arcs using the compass opened to a width equivalent to the radius of the sircle.
*Make a vertical diameter using centroid P as basis.
*Draw two right triangles facing the opposite directions using the top most point by which the vertical diameter of the circle touches the top most circumference of the circle.
Doing these steps, Mateo will be able to draw an equilateral triangle inscribed in a circle.
</span>
Factoring f(x) would give a factor (x-1-2i), so you can divide f(x) by this, leaving (x-3)(x+4)(x-1+2i), so the other roots are:
x=3
x=-4
x=1-2i
Answer: 22.14 (22.1428571429)
Step-by-step explanation:
OK
Let's Start with the equation
0.7(x−7)−4.9=5.7
Add 4.9 to both sides
0.7(x-7)=10.6
Divide both sides by 0.7
x-7= 15. 1428571429
Add 7 to both sides
x= 22.1428571429 or 22.14
Step-by-step explanation:
9(-2) =-2(-2)+3(-2)-5
9(2)=-2(4)-6-5
9(0)=-2(4)-6-5
0=-8-11
0=-19
Step-by-step explanation: If events are dependent, this means that the outcome of the first event will affect the outcome of the second event.
Let's look at an example.
Gianna has 8 blue socks and 4 red socks in her sock drawer. She chooses one sock at random and puts its on. She then chooses another sock without looking. Find the probability of the following event.
P (red, then red)
These would be dependent events because if she puts a sock on and doesn't replace it, there is 1 fewer sock in the drawer which affects the probability.
