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emmasim [6.3K]
3 years ago
15

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]
<span><u><em>Answer:</em></u>
d = 25

<u><em>Explanation:</em></u>
To get the value of d, we will need to isolate the d on one side of the equation.

<u>This can be done as follows:</u>
</span>\frac{15}{d} =  \frac{24}{40}<span>

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

<u>Then, we will isolate the d as follows:</u>
24d = 600
</span>\frac{24d}{24} =  \frac{600}{24}
<span>
d = 25

Hope this helps :)</span>
4 0
4 years ago
Read 2 more answers
K(n)=-4|3n+2|+3 find k(4)
madreJ [45]

- 23
is the answer
8 0
3 years ago
Which choice is the GCF and LCM of 24 and 48? A) GCF = 12, LCM = 12 B) GCF = 24, LCM = 48 C) GCF = 12, LCM = 24 D) GCF = 12, LCM
devlian [24]
GCF  = 24, and LCM = 48
3 0
4 years ago
Read 2 more answers
What is 3,348 rounded to the nearest hundred?
Kobotan [32]

Answer:

3,300

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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