7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
m∠E = 38.7°
Step-by-step explanation:
If you make a drawing it will help. What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.
The cosine of a angle = adjacent side/hypotenuse.
Therefore cos E = 32/41
arccos (32/41) = 38.7°
X=3.75
All you have to do is multiply using the butterfly method so multiply (8*X) which = 8x and then multiply (6*5) which equals 30 then you have to divide 30/8 which gives you the answer of x=3.75
The circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r".
Therefore the radius is √49=7 and the center coordinates are (0,0)
Answer:
Option (2)
Step-by-step explanation:
By unitary method,
∵ 8 fluid ounces contains liquid = 237 ml
∴ 1 fluid ounce liquid = 
ml
∴ 15 fluid ounces liquid = 
ml
= 444.375 ml
Therefore, total liquid in 15 fluid ounces 444 ml.
Option (2) will be the answer.
