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
Llana [10]
3 years ago
15

Need help don’t understand

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

2 real solutions

Step-by-step explanation:

To determine the nature of the solutions use the discriminant

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real solutions

• If b² - 4ac = 0 the 2 real and equal solutions

• If b² - 4ac < 0 then no real solutions

Given

x² + 9x + 20 = 0 ← in standard form

with a = 1, b = 9, c = 20, then

b² - 4ac

= 9² - (4 × 1 × 20 ) = 81 - 80 = 1

Since b² - 4ac > 0 then there are 2 real solutions

You might be interested in
Complete the tables of values.
Kay [80]

Answer:

there's no picture for us to help you... sorry

5 0
3 years ago
Graph this inequality on the number line. 2&gt;3.2. TIHL -4 -3 -2 -1 0 1 2 3 4 1 &gt; 0-&gt; 1 3 4 N​
postnew [5]

Answer:

  • See below

Step-by-step explanation:

<u>Given inequality:</u>

  • x > 3.2

Mark the point 3.2 with open dot and shade zone right to that point.

<em>See attached</em>

3 0
2 years ago
Find the angle between the given vectors to the nearest tenth of a degree.
FromTheMoon [43]
The answer is 16.0 but I’m not entirely sure
6 0
3 years ago
Can you please answer the question?
Roman55 [17]

The <em>trigonometric</em> expression \frac{\tan^{2} \alpha}{\tan \alpha - 1} + \frac{\cot^{2} \alpha}{\cot \alpha - 1} is equivalent to the <em>trigonometric</em> expression \sec \alpha \cdot \csc \alpha + 1.

<h3>How to prove a trigonometric equivalence</h3>

In this problem we must prove that <em>one</em> side of the equality is equal to the expression of the <em>other</em> side, requiring the use of <em>algebraic</em> and <em>trigonometric</em> properties. Now we proceed to present the corresponding procedure:

\frac{\tan^{2} \alpha}{\tan \alpha - 1} + \frac{\cot^{2} \alpha}{\cot \alpha - 1}

\frac{\tan^{2}\alpha}{\tan \alpha - 1} + \frac{\frac{1}{\tan^{2}\alpha} }{\frac{1}{\tan \alpha} - 1 }

\frac{\tan^{2}\alpha}{\tan \alpha - 1} - \frac{\frac{1 }{\tan \alpha} }{\tan \alpha - 1}

\frac{\frac{\tan^{3}\alpha - 1}{\tan \alpha} }{\tan \alpha - 1}

\frac{\tan^{3}\alpha - 1}{\tan \alpha \cdot (\tan \alpha - 1)}

\frac{(\tan \alpha - 1)\cdot (\tan^{2} \alpha + \tan \alpha + 1)}{\tan \alpha\cdot (\tan \alpha - 1)}

\frac{\tan^{2}\alpha + \tan \alpha + 1}{\tan \alpha}

\tan \alpha + 1 + \cot \alpha

\frac{\sin \alpha}{\cos \alpha} + \frac{\cos \alpha}{\sin \alpha} + 1

\frac{\sin^{2}\alpha + \cos^{2}\alpha}{\cos \alpha \cdot \sin \alpha} + 1

\frac{1}{\cos \alpha \cdot \sin \alpha} + 1

\sec \alpha \cdot \csc \alpha + 1

The <em>trigonometric</em> expression \frac{\tan^{2} \alpha}{\tan \alpha - 1} + \frac{\cot^{2} \alpha}{\cot \alpha - 1} is equivalent to the <em>trigonometric</em> expression \sec \alpha \cdot \csc \alpha + 1.

To learn more on trigonometric expressions: brainly.com/question/10083069

#SPJ1

6 0
2 years ago
Can someone get this? Ive been trying and cant get it
Dmitry [639]

<u>Given</u><u> </u><u>:</u><u>-</u>

  • The roots of the function are 5 and -3 .

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The Quadratic function .

<u>Answer</u><u> </u><u>:</u><u>-</u>

The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,

\sf\longrightarrow f(x) = ( x - π )(x-∆)

So on using this we have ,

\sf\longrightarrow f(x) = ( x -5)( x -(-3))

\sf\longrightarrow f(x) = (x-5)(x+3)

\sf\longrightarrow f(x) = x(x-5)+3(x-5)

\sf\longrightarrow f(x) = x² -5x +3x -15

\sf\longrightarrow f(x) = x² -2x -15

<u>Hence </u><u>the</u><u> required</u><u> </u><u>answer</u><u> </u><u>is </u><u>x²</u><u> </u><u>-2x </u><u>-</u><u>1</u><u>5</u><u>.</u>

6 0
2 years ago
Other questions:
  • If a person has less small intestine villi will they be under weight or over weight?
    14·1 answer
  • A ball is dropped from the top of a 550 ft. building. The function h(t) = - 16t2 + 50 models the height of the ball, h(t) (in fe
    5·1 answer
  • Find the mean absolute deviation (MAD) of the data in the pictograph below
    11·2 answers
  • Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th
    11·1 answer
  • Write an inequality to represent the phrase: The sum of a number and 7 is no more than 53.
    15·2 answers
  • ((11 - 3)2 x 4) - 13 + 42<br> Help pls I will mark brainliest
    12·2 answers
  • An employer uses the linear regression equation y = 0.18 x + 320.22 to predict the weekly salary, y, of an employee who sells x
    9·2 answers
  • Which graph represents 9(x - 5) = -15y
    14·2 answers
  • Dividing a whole number by a unit fraction results in a:
    11·1 answer
  • What is the value of sin 0 given that (3-4) is a point on the terminal side of 0
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!