Slope = rise over run = the change in y over the change of x
if you want it to be exactly 2, then you have to make sure the equations are proportional.
-5 - y / 6-1
so you simplify it -5-y/ 5
the answer needs to be 2 times 5,
2 x 5 = 10, so you need to add 5 because that's what you subtract from it in the end.
y = 15
Answer:
Step-by-step explanation:
y = csc x
y' = -cot x csc x
![y' = \dfrac{d}{dx} [\csc \sqrt{x}]](https://tex.z-dn.net/?f=%20y%27%20%3D%20%5Cdfrac%7Bd%7D%7Bdx%7D%20%5B%5Ccsc%20%5Csqrt%7Bx%7D%5D%20)
A=1/2bh
Data:
a=192 mm²
h=12 mm
therefore:
192 mm²=1/2(b)(12 mm)
192 mm²=6b mm
b=192 mm²/6 mm
b=32 mm
Answer: the measure of the base is 32 mm
Answer:
ΔPTS≅ΔRTA by AAS axiom of congruency
Step-by-step explanation:
Consider ΔPQA and ΔRQS
∠PQA=∠RQS (Vertically Opposite Angles)
∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)
Due to angle sum property of a triangle, we come to the conclusion that
∠APQ=∠SRQ
Consider ΔPTS and ΔRTA
TA=TS (Given)
∠RAT=∠PST(Given)
∠APQ=∠SRQ (Proved above)
Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.
