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-BARSIC- [3]
3 years ago
11

C) How long is the potato in the air? *hint set h=0* if h=-2(t-3)2+32

Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0

Answer:

if you meant to put (t-3)^{2}, then the answer is 7

Step-by-step explanation:

h=-2(t-3)^{2}+32

solve for t

0=-2(t-3)^{2}+32

subtract 32 from both sides

-32=-2(t-3)^{2}

divide both sides by -2

16=(t-3)^{2}

find suare root of 16

4= t-3

add 3 to both sides

7 = t

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PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
Write in simplest form. 1/6 divided by 6 divided by 6
tensa zangetsu [6.8K]

Answer:

1/216

Step-by-step explanation:

I am pretty sure this is correct

you have to make the whole number 6 into a fraction 6/1

now it is 1/6 divided by 6/1 but you need to do KCF keep change flip

so now it is 1/6 times 1/6 and you get 1/36

then turn 6 into a fraction again

then KCF

Now it is 1/36 times 1/6 and you get 1/216

7 0
3 years ago
Fractional indices pls help
bulgar [2K]

Answer:

Formula used :

  • (a^m)^n = a^(m×n)
  • a^m × a^n = a^(m+n)

27 \times  {9}^{3x} =  {3}^{k} \\  {3}^{3}  \times   { {(3}^{2}) }^{3x}  =  {3}^{k}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{(2 \times 3x)}  \\  {3}^{k}  =  {3}^{3}  \times  {3}^{6x}  \\  {3}^{k}  =  {3}^{(6x + 3)}  \\  \boxed{k = 6x + 3}

  • <u>k = (6x+3)</u> is the right answer.
5 0
3 years ago
Find the solution set of this inequality|10x+20| ≤10
Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

|10x+20|\leq 10

Firstly, we will find critical values

so, let's assume it is equal

|10x+20|= 10

now, we can break absolute sign

For |10x+20|= -(10x+20):

-(10x+20)= 10

we can solve for x

-10x-20= 10

Add both sides by 20

-10x-20+20= 10+20

-10x= 30

Divide both sides by -10

and we get

x=-3

For |10x+20|= (10x+20):

(10x+20)= 10

we can solve for x

10x+20= 10

Subtract both sides by 20

10x+20-20= 10-20

10x= -10

Divide both sides by 10

and we get

x=-1

so, critical values are

x=-3

x=-1

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For (-\infty,-3):

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

|10\times -5+20|\leq 10

|-50+20|\leq 10

30\leq 10

so, this is FALSE

For [-3,-1]:

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

|10\times -2+20|\leq 10

|-20+20|\leq 10

0\leq 10

so, this is TRUE

For (-1,\infty):

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

|10\times 0+20|\leq 10

|0+20|\leq 10

20\leq 10

so, this is FALSE

so, solution is

[-3,-1]

7 0
3 years ago
Number name for 8.542
Len [333]

Number name is the same as word form

8.542 = eight and five hundred fourty-two thousandths.

hope this helps

8 0
3 years ago
Read 2 more answers
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