Question

Mathematics

1 answer:

exis [7]2 years ago

6 0

Answer:

solving the equation $5x^2 - 16 = 29$ we get the solution: $\mathbf{x=3,x=-3}$

Step-by-step explanation:

We need to solve the equation $5x^2 - 16 = 29$

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

$5x^2 - 16 = 29$

Add 16 on both sides

$5x^2 - 16+16 = 29+16\\5x^2=45$

Now, divide both sides by 5

$\frac{5x^2}{5}=\frac{45}{5} \\x^2=9$

Now, we know that $\sqrt{x^2}=\pm x$

Taking square root on both sides.

$\sqrt{x^2}=\sqrt{9}\\x=\pm3$

So, we get values of x:

$x=3, x=-3$

Therefore, solving the equation $5x^2 - 16 = 29$ we get the solution: $\mathbf{x=3,x=-3}$

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Complete the Table

lianna [129]

Answer:

a= 6

b = 7

c = 8

d = 7

e = 6

Step-by-step explanation:

Notice that the bike is 6 feet above the ground to start with, so when it starts rolling, the green dot is exactly 6 feet from the ground, which gives a=6

when the distance covered by the bike is $\frac{\pi}{2}$ , (see first red dot in the attached image), the position of the green dot is exactly 1 foot added to 6 ft= 7 feet

so b = 7

when the distance covered is $\pi$ , now the green dot would be at the top of the wheel (second red dot in the attached image) which involves adding 2 feet to the original 6 feet. That is: c = 8

when the distance covered is $\frac{3\pi}{2}$ , the green dot is at the position of the third red dot in the attached image., that it exactly one foot added to 6 feet = 7 ft which gives the value of d = 7

and finally, when the distance covered is $2\pi$ . the green dot has completed a full circle and is now again in its lower position (nothing - zero) added to 6 feet = 6ft, giving e = 6.