Answer:
-12p^2 - 12pq + 2p -3q^2 + q
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k) = (5, 7) and r = 2 ⇒ r² = 4, hence
(x - 5)² + (y - 7)² = 4 → A
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.
Answer:
96
Step-by-step explanation:
Mode is the number that appears most often
96 appears twice and is the only numbers that appears more than once
96 is the mode
X/5 - 11 = -13
x/5 - 11 (+11) = -13 (+11)
x/5 = -2
x/5 (5) = -2(5)
x = -10
-10 is your number
hope this helps