For option d:
5x - 7y = 10 . . . . . (1)
10x - 14y = 8 . . . . (2)
(1) x 2 => 10x - 14y = 20 . . . . . (3)
(2) - (3) => 0 = -14 [not possible]
Therefore, the set of equations in option d, has no solutions.
Use the algorithm method. Then multiply. The answer should be 135.
If you don't know what algorithm is, it's when you put a number over a number. And multiply it.
Make this on form of a simultaneous equation:
assume jelly beans is J and trail mix is T
8J+4T=21
3J+2T=9
then solve
multiply the first equation by 3 and second equation by 8(SO THE J CAN DISAPPEAR[ELIMINATION METHOD])
24J+12T=63
24J+16T=72
Subtract
-4T=-9
T=0.44
then substitute the T to any one of the equation
3J+2(0.44)=9
3J+0.88=9
3J=8.12
J=2.71
therefore, jelly beans= $2.71 and trail mix=$0.44
we are having two geometry here one is circle and other one is square.
we know hat circle is inscribed in a square .
so Area of the shaded region=.
square has a side of 8 m. a= 8m
circle has a diameter of 8 m so the radius=4m.
area of the shaded region=
Check the picture below.
so the parabola looks more or less like so, bearing in mind that the directrix is a horizontal line, thusu the parabola is a vertical one, so the squared variable is the "x".
The vertex is always half-way between the focus point and the directrix, as you see there, and the distance from the vertex to the focus is "p" distance, since the parabola is opening downwards, "p" is negative, in this case -2.