Answer:
Step-by-step explanation:
The given equations are:
(1)
and
(2)
Now, simply adding equation (1) and equation (2), we get



Now, substituting the value of x=6 in equation (2). we get




Thus, the values of x and y are 6 and 1 respectively.
In order to solve the system of solution, beau can see that in both the given equations, coefficient of y is same and is with opposite sign, thus simply adding both the equations will eliminate y and she will get the value of x and then substituting the value of x in any of the equations, she can get the value of y. With this, she can get closer to the solution.
Slope = (-3 - r) / (2 - 5)
Slope = <span>(-3 - r) / -3 = 4/3
-(-3 - r) = 4
3 + r = 4
r = 4 - 3
r = 1 option b.</span>
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer:7
Step-by-step explanation:
6p-4+7p+3=90
13p-1=90
13p=91
p=7