Ask question

Ask question

All categories

riadik2000 [5.3K]

3 years ago

14

Keisha throws a rock down an old well the distance D in Feet The Rock Falls after T seconds can be represented by D =16t ^ 2 + 6

4t if the water in the well is 80 ft below ground how many seconds will it take for the rock to hit the water?

1 answer:

sesenic [268]3 years ago

7 0

Answer:

<em>1</em><em> </em><em>second</em><em> </em>

Step-by-step explanation:

<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t</em><em>=</em><em>80</em>

<em>16t</em><em>^</em><em>2</em><em>+</em><em>64t-80</em><em>=</em><em>0</em>

<em>64</em><em>^</em><em>2-4</em><em>(</em><em>16</em><em>)</em><em>(</em><em>-80</em><em>)</em>

<em>9216</em>

<em>-64-96</em>

<em>______</em><em> </em><em>=</em><em> </em><em>-5</em>

<em> </em><em> </em><em> </em><em>32</em>

<em>-64</em><em>+</em><em>96</em>

<em>_______</em><em> </em><em>=</em><em> </em><em>1</em><em> </em><em>sec</em>

<em> </em><em> </em><em> </em><em> </em><em>32</em>

You might be interested in

A projectile is launched from ground level with an initial velocity of v0 feet per second. Neglecting air resistance, its height

olya-2409 [2.1K]

Step-by-step explanation:

I've posted solutions in the picture. Rather the ways to solve them. Check and find answers on your own.

Also, I've not solved the problem by differential calculus. You can, obviously, if you're interested. Use it for ease and for tougher equations.

3 0

2 years ago

Please help i need this as soon as possible

masya89 [10]

It's a quadratic so the parent function will be
$y = x ^{2}$
We can see that it has been shifted to the right 5 units, which gives us a new function
$y = (x - 5) ^{2}$
It has also been shifted up 9 units:
$y = (x - 5) ^{2} + 9$
But it has also been flipped across the y-axis which makes this the final change we need to do:
$y = - (x - 5) ^{2} + 9$

8 0

3 years ago

An altitude of a right triangle to its hypotenuse divides this hypotenuse into two segments that measure 9cm, and 16cm. What are

ozzi

Answer:

Step-by-step explanation:

Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

$\frac{BD}{AD}=\frac{DC}{BD}$

⇒ $(BD)^{2}=DC{\times}AD$

⇒ $(BD)^2=9{\times}16$

⇒ $BD=\sqrt{144}$

⇒ $BD=12 cm$

Thus, the length of altitude is: 12 cm.

Now, $\frac{AB}{AD}=\frac{AC}{AB}$

⇒ $(AB)^{2}=220$

⇒ $AB= 14.83 cm$

Also, $\frac{BC}{DC}\frac{AC}{BC}$

⇒ $(BC)^{2}=400$

⇒ $BC=20 cm$

Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.

6 0

2 years ago

Read 2 more answers

8 cleaners can clean an office in 3 hours,if the block needs to be cleaned in 2 hours,how many cleaners will be needed?

romanna [79]

Answer:

12 cleaners

Step-by-step explanation:

8 cleaner can clean in 3 hours = 1 office

1 cleaner can clean in 3 hours = $\frac{1}{8}$ part of job

1 cleaner can clean in 1 hours = $\frac{1}{3 \times 8}$ part of job

Let the number of cleaner required to finish the job in 2 hours = x

hence

x cleaner can clean in 1 hours = $\frac{1 \times x }{24}$ part of job

x cleaner can clean in 2 hours = $\frac{2 \times x }{24}$ part of job

Hence

$\frac{2 \times x }{24}=1$

$\frac{2x}{24}=1$

$2x=24$

$x=12$

Hence we need 12 men to complete the same job in 2 hours

4 0

3 years ago

What are the constants in the expression below? Check all that apply.

AlexFokin [52]

Constants are numbers alone with no variables.

The constants are: 12, -3.7, 1/3

4 0

3 years ago

Read 2 more answers