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
Nuetrik [128]
3 years ago
5

Write a quadratic equation with the given vertex.​

Mathematics
1 answer:
timurjin [86]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

14. \: vertex \: ( - 4, \:  - 3) \\ require \: quadratic \: equation \\  {x}^{2}  - ( - 4 - 3)x + ( - 4)( - 3) = 0 \\  {x}^{2}  + 7x + 12 = 0 \\  \\ 15. \: vertex \: ( - 2, \:  1) \\ require \: quadratic \: equation \\  {x}^{2}  - ( - 2  + 1)x + ( - 2)( 1) = 0 \\  {x}^{2}  + x  - 2 = 0\\  \\ 16. \: vertex \: ( 3, \:  8) \\ require \: quadratic \: equation \\  {x}^{2}  - ( 3  + 8)x + (3)( 8) = 0 \\  {x}^{2}  + 11x  - 24 = 0

You might be interested in
Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin
ozzi

I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta  \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt

by using the integration formula

we get,

\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c

now put the value of t=\sin\theta in the above equation

we get,

\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c

hence proved

7 0
3 years ago
What is the slope of the line perpendicular to the y=-1/5x-9? <br><br> Plz help me
labwork [276]

Answer:

5

Step-by-step explanation:

Remember that the slope of a line that is perpendicular to a given line is the negative reciprocal of the slope of the given line.

Here we are given the line y = -(1/5)x - 9.  The slope is (-1/5).  The negative reciprocal of this is +5.  That's the answer you wanted.

4 0
3 years ago
To help solve the trigonometric inequality 2sin^2(x)+. cos(2x)-2&lt;-1, Tracey successfully graphed the equations y=2sin^2(x) +c
vichka [17]

Answer: B

Step-by-step explanation: I took the quiz and got it right

Also, if you graph the equations on a graphing calculator, the lines are right on top of each other, so the first equation can't be less than -1, so no solutions

3 0
2 years ago
Read 2 more answers
Please Please help!!!!!
love history [14]
False, i hope this helps

7 0
3 years ago
Read 2 more answers
Whats 6.2 as a fraction in simplest form
Anton [14]
31/50 is the correct answer. It began at 62/100 but you must reduce
4 0
3 years ago
Read 2 more answers
Other questions:
  • Explain why multiplying two irrational numbers could result in either an irrational number or a rational number.
    15·1 answer
  • Find the distance between points A and C round to the nearest tenth.
    13·1 answer
  • A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo
    7·1 answer
  • 13. Product A is an 8 oz. bottle of cough medication that sells for $1.36. Product B is a 16 oz. bottle of cough medication that
    7·1 answer
  • What two numbers that add up to be 14 but times together equal 36
    9·2 answers
  • The sum of four consecutive numbers is 186. What is the<br> second smallest number?
    13·2 answers
  • There are 2 numbers and the sum of those numbers are 40 and the difference of those numbers is 10 what are the numbers that equa
    11·2 answers
  • I’m failing math help plssss
    5·1 answer
  • 3 1/3 divided by 2/3<br><br> pls help me!!!! im stuck and pls show your work!
    14·2 answers
  • Can some please help me with this problem It's a little confusing to me.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!