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4 years ago

9

A piece of rope 94.2 inches long will enclose a circular child’s wading pool. What is the diameter

of the pool?

1 answer:

Elis [28]4 years ago

4 0

The circumference of a circle is pi times D. So, 94.2/pi = 29.98 or about 30 in

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Determine if the functions are even, odd or neither. f(x) = -5x4 - 2 and g(x) = x3 + 2x

Setler [38]

Try this option:
the rule: if f(-x)=f(x), then the function f(x) is even, if f(-x)=-f(x) then the function is odd.
1. f(x)=-5x⁴-2;
if to substitute x→(-x), then f(-x)=-5*(-x)⁴-2; ⇔ f(-x)=-5x⁴-2, in other words f(x)=f(-x), it means that this function is even.
2. f(x)=x³+2x.
if to substitute x→(-x), then f(-x)=(-x)³+2*(-x); ⇔ f(-x)=-(x³+2x), in other words f(-x)=-f(x), it means that this function is odd.

5 0

3 years ago

Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct?

pentagon [3]

Answer:

(24, 32, 40) is a Pythagorean triplet.

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

Step-by-step explanation:

We are given the following in the question:

Pythagorean triplet: (3,4,5)

New Pythagorean triplet obtained = (24, 32, 40)

Pythagoras theorem:

For a right angles triangle the sum of square of sides of triangle is equal to the square of hypotenuse of triangle.

Verification:

$24^2 + 32^2\\=576 + 1024\\=1600\\=40^2$

Yes, Tessa is correct.

(24, 32, 40) is a Pythagorean triplet.

Pythagorean triple be created using multiplies of a known Pythagorean triple

Option A) Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.

8 0

3 years ago

Read 2 more answers

What is the distance between the points (2, 10) and (-6, 4) on the coordinate plane?

Galina-37 [17]

It's 3/4 because (y2-y1)/(x2-x1)

3 0

3 years ago

Help please. i have no idea how to do this.

Grace [21]

Answer:

ill help u lol im pretty positive its 8

5 0

3 years ago

A line intersects the points (-5, 1) and (-2,7). What is the slope of the line in simplest form? m=[?}

IrinaK [193]

Step-by-step explanation:

To find slope : y2- y1 / x2 - x1

we have ( -5 , 1 ) which is ( x1 , y1 )

and ( -2 , 7 ) is ( x2 , y2 )

so; 7 - 1 / -2 - (-5)

6/3

= <u>2</u>

7 0

2 years ago