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
Scorpion4ik [409]
3 years ago
8

Y = −1 / 4 (x + 4) 2 −1 on a coordinate plane using its vertex, focus, and directrix.

Mathematics
1 answer:
trasher [3.6K]3 years ago
6 0

Answer:

Hello,

Step-by-step explanation:

do I remind you of the formula :

where (a,b) is the vertex and y=k the directrix

y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\\\y=-\dfrac{(x+4)^2}{4} -1 \\\\Using\ identification:\\a=-4\\2(b-k)=-4\\b+k=-2\\\\\left\{\begin{array}{ccc}b-k&=&-2\\b+k&=&-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2b&=&-4\\2k&=&0\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&-2\\k&=&0\\\end{array}\right.\\

Focus=(-4,-2)

Directrix: y=0

Vertex=(-4,-1)

You might be interested in
I really need help please!
pashok25 [27]

As we know that angle of semi circle is 180°.

Here,

FLG = 40°

GLH = ?

HLJ = 60°

FLG + GLH + HLG = 180°

40° + GLH + 60° = 180°

GLH + 100° = 180°

GLH = 180° - 100°

GLH = 80°

Now,

FLH = 40° + 80° = 120°

\sf \: Length \:  of  \: an \:  arc  \: of \:  GHF =   \dfrac{ \theta}{360}  \times 2 \pi \: r

=  \dfrac {120}{360}  \times 2 \times  \dfrac{22}{7}  \times r

=  \frac{1}{3}  \times  \frac{44}{7}  \times r

=  \frac{44}{21}  \times r

= 2.09r

4 0
3 years ago
Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest<br> earned?
s2008m [1.1K]
<h3>Answer:    270.58 dollars</h3>

======================================================

Work Shown:

  • A = account value after t years
  • P = principal or amount deposited = 800
  • r = interest rate in decimal form = 0.06
  • n = number of times we compound per year = 1
  • t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

4 0
2 years ago
Math:(
dimulka [17.4K]

Answer:

Your friend is incorrect because if you divide 21 by 7 you will get 3 if you add 7 to 3 you get 10 therefore your friend is incorrect.

6 0
3 years ago
Your basketball team scored 4 fewer than twice as many points, x, as the other team. write an expression for the number of point
Ksju [112]
2x-4
If x is the amount the other team scored then the 2x is double. This gives that 4 less than double the amount of the other team would be minus 4
8 0
3 years ago
Use substitution to solve the system of equations.
adelina 88 [10]

Answer:

(2, -5)

Step-by-step explanation:

x is defined by the first equation as x = -3y – 13.  Substitute  -3y – 13 for x in the second equation:

2( -3y – 13) + 2y = -6.

Performing the indicated multiplication, we get:

-6y - 26 + 2y = -6

Combining like terms results in:

-4y = 20, so that y = -5

Using the first equation, we find x for y = -5:

x = -3(-5) - 13 = 2

The solution is thus (2, -5) (Answer C)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the x-intercept of the line:
    6·2 answers
  • Identify the terms and like terms 10x + 5 + 3x + 1
    5·2 answers
  • (time limit!) what is the volume below?<br><br>A) 112 <br>B) 224 <br>C) 784 <br>D) 896
    9·1 answer
  • Fractorise the following (a-b)²+(a-b)​
    9·1 answer
  • HELP ME WITH THISSSSSSS
    15·1 answer
  • A plane flew 193 km in 12 minutes. At a constant speed what was the speed of the air plane at km per hour?
    14·1 answer
  • A little help please
    6·1 answer
  • What amount would yield an interest of $66 in 2 years at 3% p.a.?
    6·1 answer
  • Brainliest to whoever can help lol​
    8·1 answer
  • Rewrite (7/9) ^-1 without an exponent
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!