Answer:
a > 8
Step-by-step explanation:
Divide by the coefficient of the variable. Since it is negative, the direction of the comparison must be reversed.
(-4a)/(-4) > (-32)/(-4)
a > 8
Answer:
16/25
Step-by-step explanation:
length of screen B=44*(5/4)=55cm
and its width=32*(5/4)=40cm
so, screen B had dimensions 55cm by 40 cm
screen A area=44*32 cm sqr
screen B area=55*40 cm sqr
so, model A screen area/model B screen area
=(44*32)/(55*40)
=16/25
Answer:
find using calculator yourself:))
Step-by-step explanation:
pi x r x r = pi x 88 x 88 = answer
Since the triangles are the same, just flipped that means that all angles and segments are the same as well
I'm not sure if that's the "correct" way to prove it but that's why they're equal
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.