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Vilka [71]
3 years ago
15

What is the answer for 2(a+b)=

Mathematics
1 answer:
Rainbow [258]3 years ago
8 0
<h3>It is equivalent to 2a+2b</h3>

We use the distributive property.

Multiply the outer term 2 by each term inside ('a' and b)

2 times a = 2a

2 times b = 2b

We add those results to get 2a+2b. We cannot combine these terms as they are not like terms.

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Determine the equation for the parabola graphed below.
stiks02 [169]
The generic equation of a parabola is:
 f (x) = ax ^ 2 + bx + c
 To verify the equation of the parabola you need three points:
 f (x) = ax ^ 2 + bx + c
 We choose the points:
 (x, y) = (- 1,7)
 7 = a (-1) ^ 2 + b (-1) + c
 7 = a - b + c
 (x, y) = (0,5)
 5 = a (0) ^ 2 + b (0) + c
 5 = c
 (x, y) = (- 2,5)
 5 = a (-2) ^ 2 + b (-2) + c
 5 = 4a - 2b + c
 We solve:
 c = 5
 5 = 4a - 2b + 5
 7 = a - b + 5
 Rewriting
 b = 2a
 a-b = 2
 Substituting:
 a-2a = 2
 a = -2
 b = -4
 The equation of the parabola is:
 f (x) = - 2x ^ 2 -4x + 5
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=6%2F5%20%28cos%28120%29%20%2B%20isin%28120%29%29%203%2F5%20%28cos%2845%29%20%2B%20i%20sin%2845
marysya [2.9K]

The product is equal to:

\frac{18}{25}(cos(165) + i*sin(165))

<h3>How to solve the product?</h3>

Remember that we can write a complex number in polar form as:

R*e^{i*a} = R*(cos(a) + i*sin(a))

Then the given product:

\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))

can be rewritten to:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})

Now is easier to solve the product:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\=  \frac{18}{25}(cos(165) + i*sin(165))

If you want to learn more about complex numbers:

brainly.com/question/10662770

#SPJ1

4 0
2 years ago
Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?
stiv31 [10]

Answer:

D. they played 30 games in total

Step-by-step explanation:

By a process of elimination we can determine that D is the answer.

30 is the only answer that gives 12 when multiplied by 0.40

in other words, 12 is 40% of 30

4 0
3 years ago
Read 2 more answers
Factorise fully<br> 15x-10
padilas [110]

Answer:

15

x

+

10

y

Factor

5

out of

15

x

.

5

(

3

x

)

+

10

y

Factor

5

out of

10

y

.

5

(

3

x

)

+

5

(

2

y

)

Factor

5

out of

5

(

3

x

)

+

5

(

2

y

)

.

5

(

3

x

+

2

y

)

Step-by-step explanation:

6 0
3 years ago
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until i
kupik [55]

Answer:

Dec 10

Step-by-step explanation:

0.25 liter = 250 ml

4 ml * 3 = 12 ml

250/12 = 20.83 days

Nov 20 - Nov 30: 11 days

Dec 1 - Dec 9: 9 days

On December 9, she can still take her 3 doses.

By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.

On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.

3 0
2 years ago
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