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
Vinil7 [7]
3 years ago
13

Can someone help me with #2?? it would be much appreciated! :)

Mathematics
1 answer:
jekas [21]3 years ago
4 0
There you go? Is that right or no?
You might be interested in
Area of circle with diameter 14cm is​
Alisiya [41]

Answer:

A≈153.94cm²

Step-by-step explanation:

A=πr2

d=2r

Solving forA

A=1

4πd2=1

4·π·142≈153.93804cm²

4 0
2 years ago
A confidence interval is constructed to estimate the value of.
barxatty [35]
Mean of your estimate
4 0
2 years ago
I need help is it A B C or D
Temka [501]
The answer to this is B.
4 0
3 years ago
Read 2 more answers
HELPP I NEED TO TURN THIS IN 5 Mins!!!!!
zaharov [31]

Answer:

3. The vertex form of the function, f(x) = x² - 4·x - 17 is f(x) = (x - 2)² - 21

4. The solutions are, x = -2 + √10 and x = -2 - √10

5. The quadratic equation with vertex (3, 1) and a = 1 in standard form is given as follows;

f(x) = x² - 6·x + 10

Step-by-step explanation:

3. The function given in standard form is f(x) = x² - 4·x - 17, which is the form, f(x) = a·x² + b·x + c

The vertex form of the of a quadratic function can be presented based on the above standard form as follows;

f(x) = a(x - h)² + k

Where;

(h, k) = The coordinate of the vertex

h = -b/2a

k = f(h)

Comparing with the given equation, we have;

f(x) = a·x² + b·x + c = x² - 4·x - 17

a = 1

b = -4

c = -17

∴ h = -(-4)/(2 × 1) = 2

h = 2

k = f(h) = f(2) = 2² - 4 × 2 - 17 = -21

k = -21

The vertex form of the function, f(x) = x² - 4·x - 17 is therefore, given as follows;

f(x) = (x - 2)² - 21

4. The given equation for which we need to solve by completing the square is 2·x² + 8·x = 12

Dividing the given equation by 2 gives;

x² + 4·x = 6

Which is of the form, x² + b·x = c

Where;

a = 1

b = 4

c = 6

From which we add (b/2)² to both sides to get x² + b·x + (b/2)² = c + (b/2)²

Adding (b/2)² = (4/2)² to both sides of x² + 4·x = 6 gives;

x² + 4·x + 4 = 6 + 4

(x + 2)² = 10

x + 2 = ±√10

x = -2 ± √10

The solution are, x = -2 + √10 and x = -2 - √10

5. Given that the value of the vertex = (3, 1), and a = 1, we have;

The vertex, (h, k) = (3, 1)

h = 3, k = 1

Therefore, h = 3 = -b/(2 × a) = -b/(2 × 1)

∴ -b = 2 × 3 = 6

b = -6

k = f(h) = a·h² + b·h + c, by substitution, we have;

k = f(3) = 1 × 3² + (-6) × 3 + c = 1

∴ c = 1 - (1 × 3² + (-6) × 3) = 10

c = 10

The quadratic equation with vertex (3, 1) and a = 1 in standard form, f(x) a·x² + b·x + c is therefor;

f(x) = x² - 6·x + 10

4 0
3 years ago
Which quadrilateral is not a parallelogram?<br> Rhombus<br> O Rectangle<br> Kite<br> Square
Lynna [10]

Answer:

Kite is not a parallelogram

Step-by-step explanation:

The sides aren't evenly lined up properly to be a parallelogram

8 0
2 years ago
Read 2 more answers
Other questions:
  • Mario earns a weekly salary of $440.00 plus a 12% commission on any sales. This week he sold $525.00 worth of merchandise. How m
    14·1 answer
  • Find the exterior angle of a 15-gon
    5·1 answer
  • If you vertically compress the absolute value patent function, f(x)=|x|, by a factor of 5, what is the equation of the new funct
    10·1 answer
  • The football team had its photo taken there are 3 rows of 8 players each the fourth row has 6 players how many players are in th
    10·1 answer
  • A package of 5 pairs of insulated gloves costs ?$31.45. What is the unit price of the pairs of gloves??
    8·2 answers
  • there are 8 pencils in a package. how many package's will be needed for 28 children if each chikd gets 4 pencils
    14·2 answers
  • What is the correct value of f(-1) if f(x) = 2x2 – 3x – 9
    11·2 answers
  • Heyy could you help me out with this question I have been stuck in this question??​
    14·1 answer
  • WHATS 9+10
    9·2 answers
  • What is the value of the expression if z = 27?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!