3x+5y=10 and 5x-3y=-6 is perpendicular.
For f(x)=ax^2+bx+c
the axis of symmetry is -b/2a
f(x)=2x^2+4x+2
a=2
b=4
-4/(2*2)=-4/4=-1
the axis of symmetry is x=-1
B
Answer:
35cm²
Step-by-step explanation:
Area = trapezium + triangle
Trapezium = ½×(8+4)×2 = 12
Triangle = ½×8×5.75 = 23
Area = 12+23 = 35 cm²
PERFECT application of the general equation of things
that are moving up and down in gravity:
H(t) = H₀ + v₀t + 1/2 g t²
t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity
I'm going to call 'UP' = the positive direction .
So ...
H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²
When the object hits the ground, H(t) = 0 .
So you have ...
0 = 40 + 54 t - 16 t²
Let me re-write that for you, to make it a
little easier and more familiar:
- 16 t² + 54 t + 40 = 0
Divide each side by -2 : 8 t² - 27 t - 20 = 0
Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.
The positive one is the one you want.
The negative one refers to time before the toss, and may be discarded.
Answer:
common ratio is 4
Step-by-step explanation:
3, 12, 48, 192, 768, . . .
LEts find the common difference
There is no common difference
LEts find out common ratio by dividing the second term by first term
So common ratio is 4
