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BlackZzzverrR [31]
3 years ago
12

Sin o = - 2/2 Select all angle measures for which

Mathematics
1 answer:
finlep [7]3 years ago
4 0
120^ is the answer for this problem
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Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0
fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

x=\frac{1+2i}{5}\text{     or    }\frac{1-2i}{5}

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}

Note that:

√-1 = i

x=\frac{2\pm\sqrt[]{16\times-1}}{10}

x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}x=\frac{2\pm4i}{10}x=\frac{2}{10}\pm\frac{4i}{10}x=\frac{1}{5}\pm\frac{2}{5}ix=\frac{1\pm2i}{5}

That is;

\text{Either x=}\frac{1+2i}{5}\text{ or     x=}\frac{1-2i}{5}

7 0
1 year ago
Help!!! Ill give 100 points!
shtirl [24]

Answer:

7/20

Step-by-step explanation:

5 0
2 years ago
Since Beth was born the population of her towns has increased at a rate of 850 people per year. On beths 9th birthday the total
Lana71 [14]

Answer:

313,600

Step-by-step explanation:

Let t represent number of years after Beth's 9th birthday.

We have been given that since Beth was born the population of her towns has increased at a rate of 850 people per year. So number of people increased in t years would be 850t.

We are also told that on Beth's 9th birthday the total population was nearly 307,650. This means that t-intercept is 307,650.

The population of town t years after Beth's birthday would be P(t)=850t+307,650.

To find population on Beth's 16th birthday, we will substitute t=7 in our equation as Beth's 16th birthday would be 7 years after 9th birthday.

P(t)=850(7)+307,650

P(7)=5950+307,650

P(7)=313,600

Therefore, the population on Beth's 16th birthday would be 313,600.

3 0
3 years ago
Pls help me 10 points
Nonamiya [84]

Answer:

-4

Step-by-step explanation:

that is the slope

3 0
3 years ago
-4/2/5 = -3/1/5 + 7/10g
ludmilkaskok [199]

Answer:

g=12/7

Step-by-step explanation:

3 0
3 years ago
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