this should help I have it step
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
Answer:
It's C
Step-by-step explanation:
Because the angle measurements are the same on rectangles and they have the same side lengths but the one on the right is a smaller rectangle which its only half the side of the bigger one.
Answer:
Step-by-step explanation:
The equation for a circle is 
, where 
is the vertex of the circle and 
is the radius. Immediately, since the center of the circle is given, we know what 
and 
are. is 230 and is 220.
The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that 
, where 
is the change in the x-coordinates of the two points and 
is the change in the y-coordinates of the two points. Plug-in for 60 and for 50 to get 
. Solve for 
, arriving at 
. Therefore, the radius of the circle is .
Finally, we have all of the components to create the equation of the circle. Plug-in 230 for , 220 for , and for .
The equation of the circle will be .
Hope this helps :)
One solution was found : t ≤ -13 (number 4)
Pull out like factors :
-3t - 39 = -3 • (t + 13)
Divide both sides by -3
Remember to flip the inequality sign:
Solve Basic Inequality :
Subtract 13 from both sides to get t≤−13
