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3 years ago

Find the equation that is equivalent to the quadratic equation shown. Explain why

Mathematics

1 answer:

zysi [14]3 years ago

7 0

C - (x-3)^2=36

If we expand (x-3)^2=36:

(x-3)(x-3)=36
x^2-3x-3x+9=36
x^2-6x+9=36

Then subtract 36

x^2-6x-27=0

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1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred a

postnew [5]

Answer: 1. 210 meters per second .

2. 756 kilometers per hour.

Step-by-step explanation:

Given : The formula $S(d)=\sqrt{9.8d}$ to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

$S(d)=\sqrt{9.8\times4500}$

$S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210$

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second = $3.6\times210$ kilometers per hour

=756 kilometers per hour.

3 0

3 years ago

35 is 29% of what number

ladessa [460]

Answer:

10.15 is 29% of 35.

Step-by-step explanation:

7 0

3 years ago

8. A cent is 0.01 of a dollar

Oksanka [162]

Answer:

Yes

Step-by-step explanation:

A dollar = 100 cents

1 cent : 100 cents

= 1/100

= 0.01

8 0

2 years ago

Simplify (ignore my garbage camera quality ....)

monitta

Answer:

C. 3

Step-by-step explanation:

Given expression is:

$({3^{\frac{1}{7}})^7$

We know that the rules of exponents are used to solve these kind of questions.

When there is exponent on exponent like in this question 1/7 has an exponent of 7 , the exponents are multiplied.

So,

$=3^{(7*\frac{1}{7} )}$

The 7's will be cancelled out and remaining power will be 1

$=3^1\\=3$

Hence, option C is correct ..

5 0

3 years ago

Read 2 more answers

Johanna purchases a book for $14.95. There is a sales tax of 6.5%. How much is the final price with tax? What is the total? What

Nat2105 [25]

Okay so 6.5% of $14.95 is 0.97175. That rounds to 0.97. And to get the total we just add 0.97 to 14.95. Our answer is 15.92. However if you don't want to round then you would add 14.95 and 0.97175 . This would give you15.92175. Hope this helps!

8 0

3 years ago

Read 2 more answers