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
stepan [7]
3 years ago
11

What kind of angles are 1 and 5 in the picture below?

Mathematics
2 answers:
n200080 [17]3 years ago
4 0

Answer:

They are corresponding angles, last option.

sergejj [24]3 years ago
3 0

Answer:

Corresponding

Step-by-step explanation:

You might be interested in
F(x) = x2 − x − ln(x) (a) find the interval on which f is increasing. (enter your answer using interval notation.) find the inte
Mekhanik [1.2K]

Answer:

(a) Decreasing on (0, 1) and increasing on (1, ∞)

(b) Local minimum at (1, 0)

(c) No inflection point; concave up on (0, ∞)

Step-by-step explanation:

ƒ(x) = x² - x – lnx

(a) Intervals in which ƒ(x) is increasing and decreasing.

Step 1. Find the zeros of the first derivative of the function

ƒ'(x) = 2x – 1 - 1/x = 0

           2x² - x  -1 = 0

     ( x - 1) (2x + 1) = 0

         x = 1 or x = -½

We reject the negative root, because the argument of lnx cannot be negative.

There is one zero at (1, 0). This is your critical point.

Step 2. Apply the first derivative test.

Test all intervals to the left and to the right of the critical value to determine if the derivative is positive or negative.

(1) x = ½

ƒ'(½) = 2(½) - 1 - 1/(½) = 1 - 1 - 2 = -1

ƒ'(x) < 0 so the function is decreasing on (0, 1).

(2) x = 2

ƒ'(0) = 2(2) -1 – 1/2 = 4 - 1 – ½  = ⁵/₂

ƒ'(x) > 0 so the function is increasing on (1, ∞).

(b) Local extremum

ƒ(x) is decreasing when x < 1 and increasing when x >1.

Thus, (1, 0) is a local minimum, and ƒ(x) = 0 when x = 1.

(c) Inflection point

(1) Set the second derivative equal to zero

ƒ''(x) = 2 + 2/x² = 0

             x² + 2 = 0

                   x² = -2

There is no inflection point.

(2). Concavity

Apply the second derivative test on either side of the extremum.

\begin{array}{lccc}\text{Test} & x < 1 & x = 1 & x > 1\\\text{Sign of f''} & + & 0 & +\\\text{Concavity} & \text{up} & &\text{up}\\\end{array}

The function is concave up on (0, ∞).

6 0
3 years ago
12, 17, 22... find the 35th term
Leno4ka [110]

Answer:

a₃₅ = 182

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 12 = 22 - 17 = 5

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 5 , then

a₃₅ = 12 + (34 × 5) = 12 + 170 = 182

3 0
3 years ago
Convert the angle 117 radians to degrees.
Simora [160]

Answer:

21060°

Step-by-step explanation:

117x180°

=21060°

4 0
2 years ago
what is the length of the side of a right triangle that has a hypotenuse that is 15 mm and a side of 9 mm
ratelena [41]
C) 27 mm
Hope this helps
4 0
3 years ago
Find the missing length indicated ​
tiny-mole [99]

Answer:

x = 256

Step-by-step explanation:

Remark

Interesting question. Thanks for posting.

The small triangle has the height as the missing side.

Part One: Givens

a = 144

b = height = ?

c = 240

a^2 + b^2 = c^2

144^2 + b^2 = 240^2

20736 + b^2 = 57600                   Subtract 20736 from both sides

b^2 = 57600 - 20736

b^2 = 36864

√b^2 = √36864

b = 192

Solve for x

The relationship between the height (b) and 144 and x is

b^2 = 144 * x

36864 = 144x          Divide by 144

x = 256

5 0
2 years ago
Other questions:
  • 40 miles x 25 min.=?mph
    12·1 answer
  • After having been on the air for more than a decade, Fox's American Idol seemed to be suffering from viewer fatigue. The average
    11·1 answer
  • A party rental company has chairs and tables for rent. The total cost to rent
    7·1 answer
  • What number equals 100 when squared?
    13·2 answers
  • What are some ways you could break apart 7*9 using the distributive property ?
    7·2 answers
  • When does bone mass peak for both men and women? ages 15 to 25 ages 25 to 35 ages 35 to 45 ages 45 to 55 ages 55 to 65?
    9·1 answer
  • The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there? Complete the ratio table to s
    15·1 answer
  • The green darner is one of the largest dragonflies. It weighs about four hundredths of an ounce. Write four hundredths in standa
    7·1 answer
  • Afflatus is a BIG brain
    11·2 answers
  • PLEASE HELP FAST! What is the distance between the two points located at (14, 27) and (14, −8)? this is in units.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!