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labwork [276]
3 years ago
7

An object is thrown upward from the top of an 80​-foot building with an initial velocity of 64 feet per second. The height h of

the object after t seconds is given by the quadratic equation h equals negative 16 t squared plus 64 t plus 80. When will the object hit the​ ground?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

Solving:

Use the formula h = -16t^2 +vt +s

What we know:

v = 64 feet per second (initial velocity)

s = 80 foot (initial height)

h = ?

t ?

h = -16t^2 + 64t + 80

I know I should be asking in detail, are you allowed to use the quadratic formula or solve it by factoring it out?

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Line h contains the points (3,0) and (0,4). which point lies on a line that is perpendicular to line h and passes through point
Iteru [2.4K]
(3,0)(0,4)
slope = (4 - 0) / (0 - 3) = -4/3
A perpendicular line will have a negative reciprocal slope. So our perpendicular line has a slope of 3/4

y = mx + b
slope(m) = 3/4
(-6,-5)....x = -6 and y = -5
now sub into the formula and find b, the y int
-5 = 3/4(-6) + b
-5 = -18/4 + b
-5 + 18/4 = b
-20/4 + 18/4 = b
-2/4 = b
so ur perpendicular line is : y = 3/4x - 2/4....or 3x - 4y = 2

and ur point (6,4) lies on the perpendicular line <===


6 0
3 years ago
What is the answer to this question
il63 [147K]
The ratio of the shortest sides is 12/5. Multiplying the other two sides of the smaller triangle by that ratio gives 15 and 18, so the ratios of all sides are the same. The triangles are similar.

ABC ~ ZYX

The largest/smallest scale factor is 12/5 = 2.4.
6 0
3 years ago
Solving for systems: {y=3x+7 &amp;     y=5x-7
steposvetlana [31]
\left\{\begin{array}{ccc}y=3x+7\\y=5x-7\end{array}\right\\\\substitute:\\\\5x-7=3x+7\\5x-3x=7+7\\2x=14\ \ \ \ /:2\\x=7\\\\y=3\cdot7+7=21+7=28\\\\Answer:x=7\ and\ y=28.
8 0
3 years ago
Read 2 more answers
Work out 3/5 of 900
Mars2501 [29]

Answer:

540

Step-by-step explanation:

1. We assume, that the number 900 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 900 is 100%, so we can write it down as 900=100%.

4. We know, that x is 3.5% of the output value, so we can write it down as x=3.5%.

5. Now we have two simple equations:

1) 900=100%

2) x=3.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

900/x=100%/3.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 3.5% of 900

900/x=100/3.5

(900/x)*x=(100/3.5)*x       - we multiply both sides of the equation by x

900=28.571428571429*x       - we divide both sides of the equation by (28.571428571429) to get x

900/28.571428571429=x

31.5=x

x=31.5

now we have:

3.5% of 900=31.5

3 0
3 years ago
1 3/4 x 1 1/3 give your answer as a mixed number
WARRIOR [948]

Answer:

2 1/3

Step-by-step explanation:

1 3/4  is equivalent to 7/4

1 1/3 is equivalent to 4/3

7/ 4 x 4/3

reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )

now you're left with 7 x 1/3 = 7/3

7/3 = 2 1/3

4 0
3 years ago
Read 2 more answers
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