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Naddik [55]
3 years ago
9

Simplify -3+3(8x+4)

Mathematics
2 answers:
Zarrin [17]3 years ago
7 0

Answer:

24x+9

Step-by-step explanation:

Simplify the expression.

24x+9

Natasha2012 [34]3 years ago
5 0
-3 + 24x + 12

24x = 12

X = 2
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(3m±4/5n)2<br>solve this question<br>​
sukhopar [10]

Answer:

(3m-4/5)2  

Final result :

 (15m - 4)2

 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

5 0
3 years ago
6 boxes weigh the same amount. If the boxes weigh 60 pounds all together, how many pounds does each box weigh. (hElp)
kolbaska11 [484]

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

60 pounds all together is the weight of 6 boxes, so if you divide 60 by 6, you'll get 10 lbs for each box.

5 0
3 years ago
Read 2 more answers
Prove the identity.
Delvig [45]

Answer:

D. Pythagorean

Step-by-step explanation:

Given the identity

cos²x - sin²x = 2 cos²x - 1.

To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.

Starting from the left hand side

cos²x - sin²x ... 1

According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:

x = rcostheta

y = rsintheta

Substituting into the Pythagoras firnuka we have

(rcostheta)²+(rsintheta)² = r²

r²cos²theta+r²sin²theta = r²

r²(cos²theta+sin²theta) = r²

(cos²theta+sin²theta) = 1

sin²theta = 1 - cos²theta

sin²x = 1-cos²x ... 2

Substituting equation 2 into 1 we have;

= cos²x-(1-cos²x)

= cos²x-1+cos²x

= 2cos²x-1 (RHS)

This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM

5 0
3 years ago
The graph of a line passes through the points (0,-2) and (6,0). what is the equation of the line?
nirvana33 [79]

Answer:

y = 1/3x - 2

Step-by-step explanation:

We are asked to find the equation of a line with two points

Step1: find the slope

m = (y_2 - y_1)/(x_2 - x_1)

( 0 , -2) (6 , 0)

x_1 = 0

y_1 = -2

x_2 = 6

y_2 = 0

Insert the values

m = ( 0 - (-2)/ (6 - 0)

m = ( 0 + 2)/(6 - 0)

m = 2/6

m = (2/2)/(6/2)

m = 1/3

Step 2 : substitute m into the equation of line

y = mx + c

y = intercept y

m = slope

x = intercept x

c = intercept

y = 1/3x + c

Step 3: sub any of the two points

Let's pick ( 6 ,0)

x = 6

y = 0

Insert the values into

y = 1/3x + c

0 = 1/3(6) + c

0 = 1*6/3 + c

0 = 6/3 + c

0 = 2 + c

c = 0 - 2

c = -2

Sub c = -2

y = 1/3x - 2

The equation of the line is

y = 1/3x - 2

5 0
3 years ago
Help me ill give u a thanks!
stiv31 [10]

Answer:

11. 68.6 mph

12. 5/6 page (0.83)

Step-by-step explanation:

You simply divide them (remember the word "per" means divide).

\dfrac{120}{1 \frac34} \approx 68.6

\dfrac{8 \frac13}{10} = \frac56

5 0
3 years ago
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