Answer:
6n+2
Step-by-step explanation:
If n represents the number, the product of 6 and the number is the product of 6 and n: 6n.
When a quantity is "increased by 2" it means 2 has been added to it.
6n "increased by 2" is 6n+2
Answer:
777592000
Step-by-step explanation:
6 times 10 = 60 to the power of 5 = 60x60x60x60x60 = 777600000
2 times 10 = 20 to the power of 3 = 20x20x20 = 8000
777600000 - 8000 = 777592000
Slope =(9-7)/(4-3) = 2
equation
y - 7 = 2(x - 3)
y - 7 = 2x - 6
y = 2x + 1 .....this is slope intercept form
2x - y = = -1 .....this is standard form
25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>
Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write
⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
brainly.com/question/8691470
#SPJ4
<h2>1/2 *4 *2 = 4 units ²</h2>
Okkkk