1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina CMI [18]
3 years ago
5

What is the sum of 20x^2-10x-30

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

The sum of the roots is 0.5

Step-by-step explanation:

<u><em>The correct question is</em></u>

What is the sum of the roots of 20x^2-10x-30

we know that

In a quadratic equation of the form

ax^{2} +bx+c=0

The sum of the roots is equal to

-\frac{b} {a}

in this problem we have

20x^{2} -10x-30=0  

so

a=20\\b=-10\\c=-30

substitute

-\frac{(-10)} {20}=0.5

<u><em>Verify</em></u>

Find the roots of the quadratic equation

The formula to solve a quadratic equation is equal to

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

a=20\\b=-10\\c=-30

substitute

x=\frac{-(-10)\pm\sqrt{-10^{2}-4(20)(-30)}} {2(20)}

x=\frac{10\pm\sqrt{2,500}} {40}

x=\frac{10\pm50} {40}

x=\frac{10+50} {40}=1.5

x=\frac{10-50} {40}=-1

The roots are x=-1 and x=1.5

The sum of the roots are

-1+1.5=0.5 ----> is ok

You might be interested in
Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th
vivado [14]

The value of tangent theta is equal to the negative 1.  At this value the value of secant theta is \sqrt{2}.

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

Given information-

The value of tangent theta is equal to the negative 1.

\tan \theta=-1

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

\rm tan\theta=\dfrac{sin \theta}{cos \theta}

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

\rm -1=\dfrac{sin \theta}{cos \theta}\\

Simplify it further as,

\rm -cos \theta=sin \theta

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of \dfrac{7\pi}{4}. Which extent to the \sqrt{2}/2 for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}

Thus the value of secant theta is \sqrt{2}

Learn more about the tangent theta here;

brainly.com/question/29190

4 0
2 years ago
Read 2 more answers
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
How do you find the length of a diagonal right triangle ?
V125BC [204]
Unsure what you mean by diagonal right triangle

but if you wanted to find the hypothenuse (longest side) of a right triangle, you can apply pythagorean theorem

a^2+b^2=c^2
where c is the hypothenuse
a and b are the other sides
7 0
2 years ago
HELP if you can pls pls pls ty
Serhud [2]

Answer: I think its $176.40

Step-by-step explanation:

The area would be 21

Feet would be = 50.4 (21 x 2.4)

Then it would cost $176.40 (50.4 x $3.50)

I might be wrong, I'm not entirely sure.

4 0
3 years ago
Read 2 more answers
The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charg
nikitadnepr [17]

Answer:

C. 75 • $6 - $35

Step-by-step explanation:

First, 75 times 6 needs to be in the expression to represent how much they raised from washing the 75 cars.

Then, 35 has to be subtracted because that was the cost of the supplies:

So, C is correct, 75 • $6 - $35

5 0
3 years ago
Read 2 more answers
Other questions:
  • A polynomial of degree zero is constant term. true or false
    8·1 answer
  • What is the answer to this math question... It says that it is Pi * r squared/ 2. Does it simplify to just Pi *r ...or does it n
    15·1 answer
  • Can you square root a negative number? Why or why not?
    11·2 answers
  • If vw=vu find m w I need the answer to this
    14·1 answer
  • What is the answer x^2+28=0
    7·2 answers
  • Can someone please help me out with number 3
    8·1 answer
  • Please hurry and thank you for your help
    6·1 answer
  • If you get an area of 45cm^2 then what is the length and width
    14·1 answer
  • (2.4 x 10^2) (6.1 x 10^5
    10·2 answers
  • 4y - 7 = 5x2 - x + 2 + 3y
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!