58+28=86.
8+8=16
5+2=7
take the 1 from 16 and add it onto the 7
1+7=8: thats the tens place.
Now we only have 6. So thats the ones place. Combine the two numbers and you get 86.
Answer:
(y - 3 )² = 8 ( x - 4 )
The given vertex of Parabola is ( 4 , 3)
And Directrix is X = 6
The equation of parabola is
( y - k )² = - 4 ( P) ( x - h )
Now p = 4 - x = 4 - 6 = - 2
And given value of ( k , h) = ( 4 , 3)
Or ( y - 3 )² = - 4 ( - 2) ( x - 4 )
Or, ( y - 3 )² = 8 ( x - 4 )
Hence The equation of parabola with directrix x = 6 And
vertex ( 4 , 3 ) is ( y - 3 )² = 8 ( x - 4 ) Answer
Answer:
b. 5/√21
Step-by-step explanation:
The sine is positive in quadrant II, so the cosecant will be also. The sine function never has a magnitude greater than 1, so the cosecant function (the reciprocal of the sine) never has a magnitude less than 1.
The only positive number with a magnitude greater than 1 among your answer choices is 5/√21, selection B.
_____
If you draw the triangle with hypotenuse 5 and side 2 along the x-axis, you find the Pythagorean theorem tells you the opposite side (parallel to the y-axis) has length ...
... O = √(5² -2²) = √21
Then the sine ratio is ...
... Sin = Opposite/Hypotenuse = (√21)/5
The cosecant function is the reciprocal of the sine function, so its value is ...
... csc(θ) = 1/sin(θ) = 1/((√21)/5)
... csc(θ) = 5/√21
A= 54
B= 7
C= 21
D= 86
Your welcome I hope this helps
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7