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vlabodo [156]
3 years ago
7

The ball's height (in meters above the ground), xxx seconds after Antoine threw it, is modeled by: h(x)=-2x^2+4x+16 How many sec

onds after being thrown will the ball hit the ground? seconds
Mathematics
2 answers:
zlopas [31]3 years ago
5 0

Answer:

Step-by-step explanation:

If we are given the quadratic model, we know that the height of anything on the ground is 0 meters, so that model becomes

0=-2t^2+4t+16 I changed your x's to t's since t is for time.

Now we need to factor that quadratic and solve for time:

0=-2(t^2-2t-8)

Since -2 definitely does not equal 0, then

t^2-2t-8=0

Factor that and find t values of 4 and -2.  Again, we know that time will never be negative, so

t = 4 seconds.

stiks02 [169]3 years ago
3 0

Answer:

Answer is 16. Not 4.

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3 years ago
A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so
mamaluj [8]

Answer:

1) Is the pattern an arithmetic sequence?​

Yes it is

2)Identify a and d.​

a = First term = 2

d = Common difference = 2

3) Write the 50th term of the sequence.​

50th term = 100

4) Find the total number of logs in the first 10 rows.​

= 1010 logs

Step-by-step explanation:

Is the pattern an arithmetic sequence?​

Yes it is

2) Identify a and d.​

A pyramid of logs has 2 logs in the top row, 4 logs in the second row from the top, 6 logs in the third row from the top, and so on,

The formula for arithmetic sequence =

an = a+ (n - 1)d

a = First term

d = Common difference

For the above question:

a = 2

d = Second term - First term

= 4 - 2

d = 2

3) Write the 50th term of the sequence.​

Using the formula for arithmetic sequence

an = a+ (n - 1)d

a = 2

n = 50

d = 2

a50 = 2 + (50 - 1)2

= 2 + (49)2

= 2 + 98

= 100

The 50th term = 100

4)Find the total number of logs in the first 10 rows.​

Sum of first n terms = n/2(a + l)

n = 10

a = first term = 2

We are told that there are 200 logs in the bottom row, hence:

l = last term = 200 logs

Hence,

Sn = 10/2×[ (2 + 200

= 5(202)

= 1010 logs

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3 years ago
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
IrinaVladis [17]

Answer:  C= (3,2) and D=(2.2, 2.8)

Step-by-step explanation:

The coordinates of point P(x,y) divides a line segment having end points M{x_1,y_1} and N(x_2,y_2) in m:n will be :-

x=\dfrac{mx_2+nx_1}{m+n}\ ;\ y=\dfrac{my_2+ny_1}{m+n}

Given : The endpoints of AB are A(1,4) and B(6,-1).

If point C divides AB in the ratio 2 : 3, the coordinates of point C will be :-

x=\dfrac{2(6)+3(1)}{2+3}\ ;\ y=\dfrac{2(-1)+3(4)}{2+3}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of C= (3,2)

If point D divides AC in the ratio 3 : 2, the coordinates of point D will be :-

x=\dfrac{3(3)+2(1)}{3+2}\ ;\ y=\dfrac{3(2)+2(4)}{3+2}

Simplify,

\\\\\Rightarrow x=3\ y=2

Thus , coordinate of D= (2.2,2.8)

4 0
3 years ago
Read 2 more answers
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