"how long..." is asking for time (t). "The amount of time spent in the air" is the time from when the ball was kicked (0 seconds) to the time it landed on the ground. Need to find the x-intercepts (one will be negative which will be invalid). You can do this by factoring ... or by using the quadratic formula. With the equation you provided, it is not factorable, so you must use the quadratic formula.

h = -16t² + 60t + 3

a=-16 b=60 c=3

$t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}$

$t = \frac{-60 +/- \sqrt{60^{2}-4(-16)(3) } }{2(-16)}$

$t = \frac{-60 +/- \sqrt{3600 + 192} }{-32}$

$t = \frac{-60 +/- \sqrt{3792} }{-32}$

$t = \frac{-60 +/- 61.6}{-32}$

$t = \frac{-60 + 61.6}{-32}$ or $t = \frac{-60 - 61.6}{-32}$

$t = \frac{1.6}{-32}$ or $t = \frac{-121.6}{-32}$

t = -0.05 or t = 3.8 disregard the negative

Answer: 3.8 seconds

8 0

4 years ago

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, 5) on the same

Aleksandr-060686 [28]

Answer:

4.2 units

most likely answer choice B

Step-by-step explanation:

(1, 2) and (4, 5)

To find the distance between two points, we use the distance formula:

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

Let's plug in what we know.

$d = \sqrt{(4 - 1)^2 + (5 - 2)^2 }$

Evaluate the parentheses.

$d = \sqrt{(3)^2 + (3)^2 }$

Evaluate the exponents.

$d = \sqrt{(9) + (9) }$

Add.

$d=\sqrt{18}$

Evaluate the radical.

d = 4.24

Round to the nearest tenth.

d = 4.2 units

*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.

Hope this helps!

6 0

3 years ago

Answer this problem x- 2 = -3x + 10

Semmy [17]

The correct answer is x = 3

6 0

3 years ago

Read 2 more answers

A rectangular state flag has dimensions 7 feet by 5 1/2 feet. How long is its diagonal? Round your answer to the nearest tenth i

slamgirl [31]

The formula for a diagonal of a rectangle is √w^2+h^2, with w and h being the width and height. Plug in your numbers to get √7^2+5.5^2. Simplify that into √49+30.25, then to √79.25. Use your calculator to get 8.9022. The diagonal is 8.9 feet.

5 0

3 years ago