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3 years ago

Tom throws a ball into the air.

1 answer:

6 0

h = -8t² + 40t

dh/dt = 0
⇒ d/dt(-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s

So it takes 2.5 seconds to reach highest point

h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)

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3 years ago

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3 years ago

Simplify 3x[18+{3+4÷(4-2)}]

tresset_1 [31]

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$3 \times 18 + 3 + 4 \div ( 4 - 2)$

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4 years ago

Read 2 more answers

13. For the arithmetic sequence: 6, 12, 18, 24,...

serg [7]

a_15 = 90

a_n = 6n

Step-by-step explanation:

Given sequence is:

6, 12, 18, 24,...

First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.

Here,

$d=a_2-a_1 = 12-6 = 6\\d=a_3-a_2= 18-12 = 6$

The general form for arithmetic sequence is:

$a_n=a_1+(n-1)d$

Putting the values for a_1 and d

$a_n=6+(n-1)(6)\\a_n=6+6n-6\\a_n=6n$

a) Find a15

$a_{15} = 6(15)\\=90$

b) Write an equation for the nth term.

The equation is: a_n=6n

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

The image of the polygon ABCDE reflected across the x-axis. A(-1,-1),B(0,1),C(4,2),D(6,0),E(3,-3) The vertices of the image are.

4vir4ik [10]

A reflection across the x-axis has the rule:

(x,y)→(x,-y).

Then:

A(-1,-1)→A'(-1,1),
B(0,1)→B'(0,-1),
C(4,2)→C'(4,-2),
D(6,0)→D'(6,0),
E(3,-3)→E'(3,3).

Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).

6 0

4 years ago