What polynomial can be simplified to a different of squares? 10a2+3a-3a-16

Mathematics

1 answer:

olganol [36]3 years ago

3 0

$10a^2 +3a -3a -16 = 10a^2 -16 = (\sqrt{10}a +4 ) (\sqrt{10}a - 4 )$

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a plane is flying horizontally at an altitude of 21000 feet with a ground speed of 875 feet per second. the plane passes directl

Marta_Voda [28]

Answer:

the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds

Step-by-step explanation:

since the line D that starts from the spectator and follows the plane has the following equation

D² = x² + H² , where H= altitude of the plane , x= horizontal distance

then for x=v*t , where v=speed of the plane and t=time since the plane has passed overhead , we have for the elevation angle

tan θ = x/y = v*t /H

θ = tan⁻¹ ( v*t /H)

the rate of change in the angle of the spectator's sight θ with the time is

dθ/dt = 1/1+(v*t /H)² * (v/H) = (v/H)/[1+ (v/H)²*t²]

for t=8 seconds

dθ/dt = (875 ft/s/21000 ft)/[1+ (875 ft/s/21000 ft)²*(8 s)²] = 0.0375 rad/s

therefore the angle is changing at a rate of 0.0375 rad/s when the time is t=8 seconds

6 0

4 years ago

Solve the following proportion for the unknown variable: 15/d = 24/40

Pavel [41]

Answer:
d = 25

Explanation:
To get the value of d, we will need to isolate the d on one side of the equation.

This can be done as follows:
 $\frac{15}{d} = \frac{24}{40}$ 

First, we will do cross multiplication as follows:
40*15 = 24*d
600 = 24d

Then, we will isolate the d as follows:
24d = 600
 $\frac{24d}{24} = \frac{600}{24}$

d = 25

Hope this helps :)

4 0

4 years ago

Read 2 more answers

K(n)=-4|3n+2|+3 find k(4)

madreJ [45]