What is 8.51 x 104 in standard form?

Mathematics

2 answers:

notsponge [240]2 years ago

8 0

I think the answer would be 85.1

Nina [5.8K]2 years ago

3 0

8.85 x 10 to the second power I believe

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Determine whether the statement is true or false.

forsale [732]

<h3>A circle $(x+4)^2+(y-2)^2=85$ passes through point (2, -5) is true</h3>

Solution:

Given equation of circle is:

$(x+4)^2+(y-2)^2=85$

Given statement is:

A circle $(x+4)^2+(y-2)^2=85$ passes through point (2, -5)

We have to say whether the statement is true or false

Substitute x = 2 and y = -5 in given equation

$(2+4)^2 + (-5-2)^2 = 85\\\\6^2 +(-7)^2 = 85\\\\36 + 49 = 85\\\\85 = 85$

The point (2 , -5) satisfies the given circle equation

Thus the statement is true

7 0

3 years ago

Read 2 more answers

If you deposit $5,000 into an account that pays 4% simple interest, what will the balance be in 6 years?

aev [14]

Answer:

$6,200 i hope this helps! :)

Step-by-step explanation:

the 4% interest of the $5000 4% of 5000 = 200

multiply by 6 for the 6 years 200 * 6 = 1200

add the 1200 to the 5000 5000 + 1200 = 6,200

7 0

3 years ago

How could Lynn calculate the length of the diagonal of a square?

Arisa [49]

Answer:

D. by squaring one side length and doubling the value; then taking the square root of that value

Step-by-step explanation:

Multiplying the length of the square by itself gets you the area of the square, so A is incorrect.

Adding the lengths of all four sides of the square gets you the perimeter of the square, so B is incorrect.

Multiplying 1/2 by the length of the base times the height would get you the area of half of the square, so C is incorrect.

What you need to do is use the Pythagorean theorem: $a^2 + b^2 = c^2$ . This formula means that the legs of a right triangle squared and added together will equal the diagonal side squared. Since the side lengths of a square are all the same, we can simplify the formula into $2a^2 = c^2$ . When we solve that equation for the diagonal, we get $c = \sqrt{2a^2}$ , which is what answer D describes. Therefore, D is correct.