Answer:
∠F=78.58484226°
Step-by-step explanation:
a²=b²+c² - 2bc cosA
DE²=EF²+DF² - 2(EF)(DF)cos∠F
18²=16²+12²-2(16)(12)cos∠F
324=256+144-384cos∠F
324-400=-384cos∠F
76=384cos∠F
0.197916=cos∠F
∠F=cos⁻¹(0.197916)
∠F=78.58484226°
Answer:
x= -43 or x=57
Step-by-step explanation:
Apply absolute value rule: If |u|=a, a>0 then u=a or u=-a
So applying that to our equation:
|x-7|=50, x-7 can either equal +50 or -50 so we solve for both
x-7= -50 ---> x= -43
or
x-7=50 ---> x=57
I hope this helps!
You must take the 248.50 and multiply it by .25 then you subtract the answer from 248.50 and end up with 186.4 then you multiply that number by .05 and add that to the 186.4 and the answer you should get is 195.69
Answer:
D
Step-by-step explanation:
The standard form for a parabola is ax^2+bx+c. In this equation, b=0 and c=0. For g(x), you would plug in your y-value that was given (which is 4) and you would plug in your x-value that that given (which is 1). Use PEMDAS. The correct answer is the one that is true.
A. g(x) = (4x)^2
4 = (4(1))^2
4 = 16. (not true)
B. g(x) = 1/4 x^2
4 = 1/4 (1)^2
4 = 1/4 (not true)
C. g(x) = 16x^2
4 = 16(1)^2
4 = 16 (not true)
D. g(x) = 4x^2
4 = 4(1)^2
4 = 4. (true --> correct answer)
