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zzz [600]
2 years ago
14

Find the area of the polygon with the given vertices x(2,4) y(0,-2) z(2,-2)

Mathematics
1 answer:
weeeeeb [17]2 years ago
8 0

Answer:

6

Step-by-step explanation:

b = 2 units

h = 6 units

A=1/2 *b*h

= 1/2 *6*2

= 6

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The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
For what values of x is x2 + 2x = 24 true?
Sophie [7]

x^2 + 2x = 24\\x^2+2x+1=25\\(x+1)^2=25\\x+1=5 \vee x+1=-5\\\x=4 \vee x=-6

8 0
3 years ago
Read 2 more answers
1
Sloan [31]

Answer:

<h3>#1</h3>

<u>Rectangle area:</u>

  • A = lw

<u>Given:</u>

  • l = 12 ft, A = 300 ft²

<u>Find w:</u>

  • 12w = 300
  • w = 300/12
  • w = 25 ft
<h3>#2</h3>

<u>Perimeter is the sum of side lengths:</u>

P = 2 1/4 + 5 2/5 + 5 17/20 =

     2 + 5 + 5 + 1/4 + 2/5 + 17/20 =

     12 + 5/20 + 8/20 + 17/20 =

     12 + 30/20 =

     12 + 1.5 =

     13.5 ft

<h3>#3</h3>
  • Cost of a shirt = $19.99
  • Number of shirts = 6

<u>Total cost:</u>

  • $19.99*6 = $119.94

8 0
3 years ago
Can someone help me with my home work plz
Marizza181 [45]
Yes, you must first link the problem with your question
6 0
3 years ago
What is the y-intercept of the line shown? <br> -1<br> 0<br> 1
Hatshy [7]

Answer:

-1

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis.

7 0
1 year ago
Read 2 more answers
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