Answer:
The Answer is: y - 3 = 3/2(x - 1)
Step-by-step explanation:
Given Points: (1, 3) and (-3, -3)
Find the slope m:
m = y - y1 / (x - x1)
m = 3 - (-3) / (1 - (-3))
m = 3 + 3 / 1 + 3
m = 6 / 4 = 3/2
Use the point slope form and point (1, 3):
y - y1 = m(x - x1)
y - 3 = 3/2(x - 1)
Hope this helps! Have an Awesome day!! :-)
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:
4.80 mm to 2 d.p
Step-by-step explanation:
w = f(r)
f'(r) = (dw/dr) = (0.0218 mm/mm)
So, for a small difference in rainfall of 220 mm, what is the corresponding small difference in width of leaves in the two forests given.
One definition of a derivative or a rate of change is that it is the ratio of very small differences in the dependent variable to very small differences in the independent variable.
Mathematically,
(dw/dr) = (Δw/Δr) for very small Δw and Δr.
0.0218 = (Δw/220)
Δw = 0.0218 × 220 = 4.796 mm = 4.80 mm to 2 d.p
Hope this Helps!!!
Formula: Distance = rate * time
570 = (R+(R-18))*3
570 = (2R - 18)*3
190 = 2R-16
208 = 2R
R = 104
Eastbound Train: 86mph
Westbound Train: 104mph
Answer: the answer is
=3
−19x−14
Step-by-step explanation: (x−7)(3x+2)
=(x+−7)(3x+2)
=(x)(3x)+(x)(2)+(−7)(3x)+(−7)(2)
=3x2+2x−21x−14
=3x2−19x−14
