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Mnenie [13.5K]
3 years ago
8

Simplify 5 to the second power

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0
5 to the second power is 5*5 which would be 25 so then youre left with 25+20, giving you 45 as your answer 
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Help me with this question please
Fed [463]

Answer:

--->(f.g)(x)=8(x-1)^2+7(x-1)-9

=8(x^2-2x+1)+7x-7-9

=8x^2-9x-8

--->(f.g)(-2)=8(-2)^2-9(-2)-8=42

✌️:)

8 0
3 years ago
4) The quantities x and y are in proportion x 4 30 8 __b__ a) b) c) y 6 45 __a__ 15 Find the value of a and b. Find the constant
Ivan

Question:

The quantities x and y are in proportion

x      y

4      6

30   45

8      b

a      15

(a) Find the values of a and b.

(b) Find the constant of variation. Is it direct variation or inverse variation?

Answer:

a = 10 and b = 12

Constant of variation is 1.5

Direct Variation

Step-by-step explanation:

Solving (a): The values of a and b

First, we determine the equation that relates x and y

From the table, we have:

(x_1,y_1) = (4,6)

(x_2,y_2) = (30,45)

The slope (m) is:

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{45 - 6}{30 -4}

m = \frac{39}{26}

m = 1.5

The equation is then calculated using:

y - y_1 = m(x - x_1)

This gives:

y - 6 = 1.5(x - 4)

y - 6 = 1.5x - 6

y = 1.5x

Solving for the value of b

From the table: x = 8, y = b

Substitute these values in y = 1.5x

b = 1.5 * 8

b = 12

Solving for the value of a

From the table: x = a, y = 15

Substitute these values in y = 1.5x

15 = 1.5 * a

Solve for a

a = \frac{15}{1.5}

a = 10

Solving (b): The constant of variation.

This has been solved in (a) above as:

m = 1.5

Direct or Inverse?

From the given table, we notice that y increases as x increases and y decreases as x decreases.

<em>This shows direct variation</em>

3 0
2 years ago
HELP PLEASE!<br> find the exact value of <img src="https://tex.z-dn.net/?f=tan%28-%5Cfrac%7B%5Cpi%7D%7B12%7D%20%29" id="TexFormu
algol [13]

tan ( - pie / 12 ) =

- tan ( pie / 12 ) =

_________________________________

Remainder formula :

tan^2 (x) = [ 1 - 2Cos(2x) ] ÷ [ 1 + 2Cos(2x) ]

_________________________________

Thus :

tan^2 ( pie/12) =

[ 1 - Cos( 2pie/12 ) ] ÷ [ 1 + Cos( 2pie/12 ) ] =

[ 1 - Cos( pie/6 ) ] ÷ [ 1 + Cos( pie/6 ) ] =

[ 1 - √3/2 ] ÷ [ 1 + √3/2 ] =

[ 2 - √3 / 2 ] ÷ [ 2 + √3 / 2 ] =

[ 2 - √3 ] ÷ [ 2 + √3 ] =

2 - √3 / 2 + √3 =

(2 - √3)(2 - √3) / (2 + √3)(2 - √3) =

(2 - √3)^2 / 4 - 3 =

(2 - √3)^2 / 1 =

(2 - √3)^2

So :

tan^2 ( pie/12 ) = (2 - √3)^2

Take a square root from both sides

tan( pie/12 ) = 2 - √3

_________________________________

Thus ;

- tan ( pie/12 ) = - ( 2 - √3 )

- tan ( pie/12 ) = - 2 + √3

Approximately :

- tan ( pie/12 ) = - 2 + 1.732

- tan ( pie/12 ) = - 0.268

4 0
3 years ago
Solve for xx. Express your answer as a proper or improper fraction in simplest terms.
kati45 [8]

Answer:

4/5

Step-by-step explanation:

hope this helps :)

4 0
3 years ago
Read 2 more answers
Joseph needs to calculate how much grass seed he needs to cover his lawn. A diagram of his lawn is shown below. One pound of see
viktelen [127]
L x W = Area
40 x 15 = 600 square ft
So you would need 6 bags of feed
600/ 100 = 6
4 0
3 years ago
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