Answer:
By using the 90 degree clockwise rotation formula, we are able to determine that the answer is (7, 6)
Step-by-step explanation:
The formula for 90 degree clockwise rotation is
(x,y)--->(y,-x)
The reason why our -6 turns into a positive is because the negative was replacing that negative therefore making it positive.
Hope this helps!
I'll leave the rest of the formulas I have in my notes for you!
180 degree rotations
(x,y)--->(-x,-y)
90 degree counterclockwise
(x,y)--->(-y,x)
270 degree rotation
(x,y)--->(y,-x)
The answwer to your question is D
Answer:
‹A = 141°
‹B = 28°
‹C = 11°
*These angles are rounded to the nearest whole*
Step-by-step explanation:
Because you are only given sides you can find an individual angle measures with the inverse law of cosines.
Remember the side opposite of the angle corresponds to that angle.
a² = b² + c² - 2bc cos(A) →
A = cos⁻¹ (a² - b² - c² / -2bc)
b² = a² + c² - 2ac cos(B) →
B = cos⁻¹ (b² - a² - c² / -2ac)
c² = a² + b² - 2ab cos(C) →
C = cos⁻¹ (c² - a² - b² / -2ab)
Answer: (1/3,2)
Step-by-step explanation:
Let O(x,y) be the circumference of the triangle PQR,
Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.
Thus, PO = QO
By the distance formula,
---------(1)
Similarly, QO = RO
------------(2)
By adding equation (1) and (2),
24 x = - 8
x = 1/3
By putting this value in equation (1),
We get,
Thus, 4 - 8 y = -12
8 y = 16
y = 2
