Hows do I use 3.14 for Pi and round my answer to the nearest ft squared.

Which function has a vertex at (2, –9)?

mihalych1998 [28]

Answer:

The answer is C f(x)=(x – 5(x + 1)

Step-by-step explanation:

6 0

4 years ago

The san paulo community swimming pool can be filled in 12 hr if water enters through a pipe alone or in 30 hr if water enters th

Nuetrik [128]

Alright, lets gets started.

If water enters through a pipe alone, swimming pool can be filled in 12 hr.

Or say, in 12 hrs, swimming pool can be filled with help of pipe.

It means in 1 hr, the part of swimming pool filled = $\frac{1}{12}$ (For pipe only)

Similarly, with hose only, , in 1 hr, the part of swimming pool filled = $\frac{1}{30}$

So, water is coming from both, pipe and hose , then in 1 hr, the part of pool filled will be = $\frac{1}{12} + \frac{1}{30}$

Suppose in x hrs, with both supplies, pipe and hose, pool is filled.

Means

$\frac{1}{12} + \frac{1}{30} = \frac{1}{x}$

making common denominator

$\frac{30}{360} + \frac{12}{360} = \frac{1}{x}$

$\frac{30 + 12}{360} = \frac{1}{x}$

$\frac{42}{360} = \frac{1}{x}$

Flipping

$\frac{360}{42} = x$

$x = \frac{60}{7}$

Means 8.57 hrs : Answer

Hope it will help :)

7 0

3 years ago

Determine whether the equation defines y as a function of x. x+y=9 and x^2+y^2=1 and x=y^2

Murrr4er [49]

Answer:

Function: $x+y=9$

Not Function: $x^2+y^2=1$ and $x=y^2$

Step-by-step explanation:

Given

$x+y=9$

$x^2+y^2=1$

$x=y^2$

Required

Determine if $y$ is a function of $x$

Solving x+y=9

$x+y=9$

Make y the subject of formula

$y = 9 - x$

Hence; y is a function of x

Solving $x^2+y^2=1$

$x^2+y^2=1$

Subtract x² from both sides

$y^2=1 - x^2$

Square root of both sides

$y =\± \sqrt{1 - x^2}$

This implies that

$y =\sqrt{1 - x^2}$ or $y =-\sqrt{1 - x^2}$

Because $y$ can be any of those two expressions, it is not a function.

Solving $x=y^2$

$x=y^2$

Reorder

$y^2 = x$

Take square roots

$y = \±\sqrt{x}$

This implies that

$y = \sqrt{x}$ or $y = -\sqrt{x}$

Because $y$ can be any of those two expressions, it is not a function.

4 0

3 years ago

This star is made up of 4 equilateral triangles of equal area and a square.

pentagon [3]

Answer:

24 cm

Step-by-step explanation:

Given: Picture of the star is made up of 4 unshaded equilateral triangles of equal area and a shaded square.

Area of the shaded region (square) = $9\,\, cm^2$

To find: the perimeter of the star

Solution:

Area of the shaded region (square) = $9\,\, cm^2$

Area of square = $(side)^2$

$(side)^2=9\\side=3\,\,cm$

As each equilateral triangle has side lengths that are the same as the side length of the square,

length of side of the star = 3 cm

Perimeter is the sum of lengths of the sides.

Perimeter of star = sum of 8 sides of the star

= 8 × 3 = 24 cm

4 0

4 years ago

Every day, Marco runs for 45 minutes and covers 5 miles. How long would it take him to run 2 miles?

vichka [17]

45 divided by 5 is 9, so it takes 9 minutes to cover 1 mile.
9 x 2 = 18.

8 0

3 years ago