P = 4ft

Explanation:
take 5 and 3, add them together = 8. "straight down to double its distance" so that would mean to do either 8 divided by 2 or 4 x 2. 4 x 2 - 3 = 5 (5 = final position). p = 4ft

8 0

2 years ago

A square room has an area of 14,400 square

omeli [17]

Answer:

4 i think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-0)^2+(4-0)^2}$

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

$Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

3 years ago

The speed of sound in air on a certain stormy day is about 1130 feet per second. You see a flash of lightning striking some dist

Elina [12.6K]

Answer:

distance = 1.5 miles(approx.)

Step-by-step explanation:

given,

speed of sound = 1130 ft/s

1 ft = 0.3048

1130 ft/s = 0.3048 × 1130 m/s

= 344.424 m/s

time = 7 second

distance = speed × time

distance = 344.424 × 7

distance = 2410.968 m

1 m = 0.0006214 miles

2410.968 m = (0.0006214 × 2410.968) miles

distance = 1.498 miles

distance = 1.5 miles(approx.)

6 0

3 years ago