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3 years ago

Math!! The answer is c. I think but can somebody explain the steps that would got me c. I need it.

Mathematics

1 answer:

allochka39001 [22]3 years ago

4 0

9514 1404 393

Answer:

Use the Pythagorean theorem: (5/8)^2 +(3/2)^2 = (13/8)^2 ⇒ right triangle

Step-by-step explanation:

Check to see if the numbers satisfy the Pythagorean theorem.

(5/8)^2 + (3/2)^2 = (13/8)^2

25/64 + 9/4 = 169/64

25/65 +144/64 = 169/64 . . . . . . . true. The triangle is a right triangle.

If a, b, c represent the lengths of the sides, least to greatest, then ...

a^2 + b^2 > c^2 . . . . acute triangle

a^2 + b^2 = c^2 . . . . right triangle

a^2 + b^2 < c^2 . . . . obtuse triangle

_____

<em>Additional comment</em>

A triple of integers that satisfy the Pythagorean theorem (form a right triangle) is called a "Pythagorean triple." One you see often, and that has the special property that it is <em>the only triple that is an arithmetic sequence</em> is (3, 4, 5). A couple of other common ones are (5, 12, 13) and (7, 24, 25).

Any of these can be scaled by a common factor to make sides of a right triangle. Here, we have (5, 12, 13) scaled by a factor of 1/8 to make (5/8, 12/8, 13/8) = (5/8, 3/2, 13/8) — the numbers in the problem statement.

If you're aware of these common triples, you can check to see if they are being used in any right-triangle problem you may run across. Recognizing that one of these applies can save you the effort of working out the squares and/or root that would otherwise be involved.

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Please solve this thank you!

SSSSS [86.1K]

Answer:

$1024x^{40}$

Step-by-step explanation:

So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.

Add like terms:

$[\frac{8x^9}{2x}]^5$

Divide by 2x (divide coefficient by 2, subtract coefficient degrees)

$[4x^8]^5$

Multiply exponents and raise 4 to the power of 5

$1024x^{40}$

The reason you multiply exponents is because you can think about it like this:

(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially

(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40

6 0

2 years ago

Read 2 more answers

For every 15 students who run track, there are 7 students who play baseball. There are 112 more students

wolverine [178]

Answer:

There are 210 students running track and 98 students that play baseball.

Step-by-step explanation:

15*14= 210 and 7*14 = 98, 210 - 98 = 112. If this was correct feel free to mark me as brainiest :)

4 0

4 years ago

Read 2 more answers

Help answer asap pls ---------

Reika [66]

Answer:

d = 5

Step-by-step explanation:

We want to know what d would be when x = -1, so we can start off by plugging in -1 for x to get the following equation: $\sqrt{8 - (-1)} = 2(-1)+d$ . On the left hand side, 2 negatives become a positive sign, so the -(-1) becomes a +1, and 8+1 would equal 9. On the right hand side, we just multiply 2 and -1 to get -2. So, the equation now looks like this: $\sqrt{9} = d-2$ . We know that $\sqrt{9}$ = 3, so we would get 3 = d-2. THen we would add 2 to both sides to get d = 5. Hope this helps!